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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
id: string
domain: string
level: string
task: string
bbox: list<item: double>
  child 0, item: double
volume: double
rel_tol: double
reference: string
topic: string
question: string
answer: double
solution: string
unit: string
to
{'id': Value('string'), 'domain': Value('string'), 'level': Value('string'), 'topic': Value('string'), 'question': Value('string'), 'answer': Value('float64'), 'unit': Value('string'), 'rel_tol': Value('float64'), 'solution': Value('string')}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1835, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 621, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 361, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2381, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2309, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              id: string
              domain: string
              level: string
              task: string
              bbox: list<item: double>
                child 0, item: double
              volume: double
              rel_tol: double
              reference: string
              topic: string
              question: string
              answer: double
              solution: string
              unit: string
              to
              {'id': Value('string'), 'domain': Value('string'), 'level': Value('string'), 'topic': Value('string'), 'question': Value('string'), 'answer': Value('float64'), 'unit': Value('string'), 'rel_tol': Value('float64'), 'solution': Value('string')}
              because column names don't match
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1379, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 956, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1702, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1887, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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id
string
domain
string
level
string
topic
string
question
string
answer
float64
unit
string
rel_tol
float64
solution
string
ae-f01
aerospace
intensive
orbits
A spacecraft makes a Hohmann transfer from a circular orbit 400 km above Earth to a circular orbit 20200 km above Earth. How long does the transfer take, in hours? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
2.975235
h
0.01
a = (r1 + r2)/2, t = pi sqrt(a^3/GM) (half the transfer period)
ae-f02
aerospace
intensive
orbits
An elliptical orbit has a perigee altitude of 500 km and an apogee altitude of 2000 km. What is the speed at apogee, in kilometers per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
6.552152
km/s
0.01
a = (rp + ra)/2, va = sqrt(GM (2/ra - 1/a))
ae-f03
aerospace
intensive
orbits
A satellite in a circular orbit 800 km above Earth fires its engine retrograde once to lower its perigee to 200 km above Earth. What delta-v does that burn take, in meters per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
164.577389
m/s
0.01
v_circ at r = R + 800 km minus apogee speed of the 200 x 800 km ellipse
ae-f04
aerospace
intensive
propulsion
A rocket launched straight up has an initial mass of 50 t and burns 35 t of propellant at 250 kg/s with a specific impulse of 300 s. Taking g0 = 9.80665 m/s², including gravity losses at a constant 9.81 m/s² and ignoring drag, what is its speed at burnout, in meters per second?
2,168.68197
m/s
0.01
ve = Isp g0, t = 35000/250 = 140 s, v = ve ln(m0/mf) - g t
ae-f05
aerospace
intensive
propulsion
A jet engine takes in 80 kg/s of air and exhausts it at 600 m/s while the aircraft flies at 250 m/s. Ignoring the fuel's mass flow, what thrust power does the engine deliver, in megawatts?
7
MW
0.01
F = mdot (ve - v), P = F v
ae-f06
aerospace
intensive
aerodynamics
An aircraft flies at 650 m/s where the air temperature is 223 K. With a ratio of specific heats of 1.4 and R = 287 J/(kg·K), what is the stagnation temperature, in kelvin?
433.303634
K
0.01
a = sqrt(g R T), M = v / a, T0 = T (1 + (g-1)/2 M^2)
ae-f07
aerospace
intensive
aerodynamics
An airliner flies at Mach 0.8 where the air temperature is 230 K and the density is 0.41 kg/m³. With a ratio of specific heats of 1.4 and R = 287 J/(kg·K), what is the dynamic pressure, in kilopascals?
12.124717
kPa
0.01
a = sqrt(g R T), v = M a, q = rho v^2 / 2
ae-f08
aerospace
intensive
flight-mechanics
An aircraft weighing 70 kN has a wing area of 30 square meters and a maximum lift coefficient of 1.6. What is its stall speed in a level turn at a bank angle of 45 degrees, where the air density is 1.225 kg/m³, in meters per second?
58.027366
m/s
0.01
n = 1/cos(bank), V = sqrt(2 n W / (rho S CLmax))
ae-f09
aerospace
intensive
flight-mechanics
An aircraft makes a level turn at 120 m/s with a bank angle of 30 degrees. Taking g = 9.81 m/s², how long does a full 360-degree turn take, in seconds?
133.122889
s
0.01
r = v^2 / (g tan(bank)), t = 2 pi r / v
ae-f10
aerospace
intensive
flight-mechanics
An aircraft weighing 50 kN with a wing area of 25 square meters flies at 80 m/s where the air density is 1.0 kg/m³. Its drag polar is CD = 0.025 + 0.05 CL² and its engines give 8 kN of thrust. What is its rate of climb, in meters per second?
7.1
m/s
0.01
q = rho v^2/2, CL = W/(q S), D = q S CD, RC = (T - D) v / W
ae-f11
aerospace
intensive
propulsion
A rocket nozzle expands gas from a chamber temperature of 3200 K to an exit pressure that is 2% of the chamber pressure. The gas has a ratio of specific heats of 1.25 and R = 330 J/(kg·K). Taking g0 = 9.80665 m/s² and ignoring pressure thrust, what is the specific impulse, in seconds?
244.112025
s
0.01
ve = sqrt(2g/(g-1) R T0 (1 - (pe/p0)^((g-1)/g))), Isp = ve / g0
ae-f12
aerospace
intensive
propulsion
A turbine takes 40 kg/s of gas at 1400 K and expands it through a pressure ratio of 4 with an isentropic efficiency of 90%. With a ratio of specific heats of 1.33 and cp = 1150 J/(kg·K), what power does it deliver, in megawatts?
16.869155
MW
0.01
T2s = T1 (1/r)^((g-1)/g), dT = eta (T1 - T2s), P = mdot cp dT
ae-f13
aerospace
intensive
orbits
A satellite is on an elliptical orbit with a perigee altitude of 400 km and an apogee altitude of 3000 km. How fast is it moving when it is 1000 km above Earth, in kilometers per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
7.665956
km/s
0.01
a = (rp + ra)/2, v = sqrt(GM (2/r - 1/a)) at r = R + 1000 km
ae-f14
aerospace
intensive
propulsion
A single-stage rocket carries 30000 kg of propellant and has a dry mass of 3000 kg not counting its payload. Its engine has a specific impulse of 350 s. Taking g0 = 9.80665 m/s², what is the largest payload it can give 5000 m/s of ideal delta-v, in kilograms?
6,113.183923
kg
0.01
R = exp(dv / (Isp g0)); (3000 + P + 30000) / (3000 + P) = R, so P = 30000/(R - 1) - 3000
ae-f15
aerospace
intensive
aerodynamics
A pitot-static tube on an aircraft in low-speed flight reads 3.2 kPa between total and static pressure, where the air density is 1.0 kg/m³. Treating the flow as incompressible, how long does the aircraft take to fly 50 km at that speed, in minutes?
10.416667
min
0.01
v = sqrt(2 dp / rho), t = d / v
ae-l-c01
aerospace
calm
aerodynamics
An aircraft flies at 680 m/s where the speed of sound is 340 m/s. What is its Mach number (unitless)?
2
0.01
M = v / a
ae-l-c02
aerospace
calm
aerodynamics
Air with a density of 0.6 kg/m³ flows at 200 m/s. What is its dynamic pressure, in kilopascals?
12
kPa
0.01
q = rho v^2 / 2
ae-l-c03
aerospace
calm
propulsion
A rocket engine expels 80 kg/s of propellant at 2500 m/s. Ignoring pressure thrust, what is its thrust, in kilonewtons?
200
kN
0.01
F = mdot ve
ae-l-c04
aerospace
calm
propulsion
A rocket engine has a specific impulse of 320 s. Taking g0 = 9.80665 m/s², what is its exhaust velocity, in meters per second?
3,138.128
m/s
0.01
ve = Isp g0
ae-l-c05
aerospace
calm
flight-mechanics
An aircraft weighing 120000 N has a wing area of 60 square meters. What is its wing loading, in pascals?
2,000
Pa
0.01
W / S
ae-l-c06
aerospace
calm
units
An aircraft cruises at 300 knots, where 1 knot is 0.5144 m/s. What is its speed, in meters per second?
154.32
m/s
0.01
v = knots x 0.5144
ae-l-c07
aerospace
calm
aerodynamics
A wing produces 50 kN of lift and 4 kN of drag. What is its lift-to-drag ratio (unitless)?
12.5
0.01
L / D
ae-l-c08
aerospace
calm
flight-mechanics
An aircraft makes a level turn at a bank angle of 60 degrees. What is its load factor (unitless)?
2
0.01
n = 1 / cos(bank)
ae-l-c09
aerospace
calm
propulsion
A launch vehicle has 900 kN of thrust and weighs 600 kN. What is its thrust-to-weight ratio (unitless)?
1.5
0.01
T / W
ae-l-c10
aerospace
calm
atmosphere
What is the air density at sea level in the International Standard Atmosphere, in kilograms per cubic meter?
1.225
kg/m^3
0.01
ISA sea level
ae-l-c11
aerospace
calm
flight-mechanics
A glider covers 18 km horizontally while descending from an altitude of 1500 m in still air. What is its glide ratio (unitless)?
12
0.01
L/D = distance / height
ae-l-c12
aerospace
calm
orbits
A satellite is in a circular orbit of radius 7000 km. What is its orbital speed, in kilometers per second? Use GM = 3.986e14 m³/s².
7.546049
km/s
0.01
v = sqrt(GM / r)
ae-l-a01
aerospace
alert
aerodynamics
A wing of 16 square meters flies at 70 m/s in air of density 1.1 kg/m³ with a lift coefficient of 1.2. What lift does it produce, in kilonewtons?
51.744
kN
0.01
L = rho v^2 S CL / 2
ae-l-a02
aerospace
alert
aerodynamics
An airliner with a wing area of 120 square meters flies at 230 m/s where the air density is 0.4 kg/m³. With a drag coefficient of 0.03, what is its drag, in kilonewtons?
38.088
kN
0.01
D = rho v^2 S CD / 2
ae-l-a03
aerospace
alert
aerodynamics
What is the speed of sound in air at 250 K, with a ratio of specific heats of 1.4 and R = 287 J/(kg·K), in meters per second?
316.93848
m/s
0.01
a = sqrt(g R T)
ae-l-a04
aerospace
alert
propulsion
A rocket with a specific impulse of 300 s burns from an initial mass of 50 t to a final mass of 20 t. Taking g0 = 9.80665 m/s², what is its ideal delta-v, in meters per second?
2,695.722752
m/s
0.01
dv = Isp g0 ln(m0 / mf)
ae-l-a05
aerospace
alert
flight-mechanics
A light aircraft weighing 9000 N has a wing area of 14 square meters and a maximum lift coefficient of 1.5. What is its stall speed at sea level, where the air density is 1.225 kg/m³, in meters per second?
26.452003
m/s
0.01
V = sqrt(2 W / (rho S CLmax))
ae-l-a06
aerospace
alert
aerodynamics
A wing with a chord of 1.5 m flies at 50 m/s in air of density 1.225 kg/m³ and viscosity 1.8e-5 Pa·s. What is its Reynolds number (unitless)?
5,104,166.666667
0.01
Re = rho v c / mu
ae-l-a07
aerospace
alert
flight-mechanics
An aircraft makes a level turn at 100 m/s with a bank angle of 30 degrees. Taking g = 9.81 m/s², what is its turn radius, in meters?
1,765.597153
m
0.01
r = v^2 / (g tan(bank))
ae-l-a08
aerospace
alert
flight-mechanics
An aircraft has 20 kN of drag at 540 km/h. What power is needed to overcome drag, in megawatts?
3
MW
0.01
P = D v, v = 150 m/s
ae-l-a09
aerospace
alert
orbits
What is the escape velocity from 500 km above Earth's surface, in kilometers per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
10.771438
km/s
0.01
v = sqrt(2 GM / r), r = R + h
ae-l-a10
aerospace
alert
orbits
A satellite is in a circular orbit of radius 8000 km. What is its orbital period, in minutes? Use GM = 3.986e14 m³/s².
118.684759
min
0.01
T = 2 pi sqrt(r^3 / GM)
ae-l-a11
aerospace
alert
propulsion
A rocket engine expels 150 kg/s at 2800 m/s. Its nozzle exit area is 0.8 square meters, the exit pressure is 70 kPa and the ambient pressure is 40 kPa. What is its total thrust, in kilonewtons?
444
kN
0.01
F = mdot ve + (pe - pa) Ae
ae-l-a12
aerospace
alert
propulsion
An engine produces 500 kN of thrust with a specific impulse of 280 s. Taking g0 = 9.80665 m/s², what is its propellant mass flow, in kilograms per second?
182.092181
kg/s
0.01
mdot = F / (Isp g0)
ae-l-a13
aerospace
alert
flight-mechanics
An aircraft weighing 64 kN flies at 120 m/s with 30 kN of thrust and 22 kN of drag. What is its rate of climb, in meters per second?
15
m/s
0.01
RC = (T - D) v / W
ae-l-a14
aerospace
alert
atmosphere
In the standard atmosphere's troposphere the temperature is 288.15 K at sea level and falls by 6.5 K per kilometer. What is the temperature at an altitude of 8 km, in kelvin?
236.15
K
0.01
T = T0 - lapse h
ae-l-i01
aerospace
intensive
orbits
What total delta-v does a Hohmann transfer take from a circular orbit 400 km above Earth to a circular orbit 1000 km above Earth, in kilometers per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
0.318759
km/s
0.01
two burns on the transfer ellipse
ae-l-i02
aerospace
intensive
aerodynamics
An aircraft flies at 500 m/s where the air temperature is 230 K and the pressure is 30 kPa. With a ratio of specific heats of 1.4 and R = 287 J/(kg·K), what is the stagnation pressure, in kilopascals?
136.292972
kPa
0.01
a, M, p0 = p (1 + (g-1)/2 M^2)^(g/(g-1))
ae-l-i03
aerospace
intensive
propulsion
A two-stage rocket has a liftoff mass of 80 t. Stage 1 burns 50 t of propellant at a specific impulse of 270 s, then drops its 5 t of dry mass. Stage 2 then starts at 25 t and burns 18 t of propellant at a specific impulse of 330 s. Taking g0 = 9.80665 m/s², what is the total ideal delta-v, in meters per second?
6,716.599801
m/s
0.01
stage 1: 80 -> 30 t; stage 2: 25 -> 7 t
ae-l-i04
aerospace
intensive
flight-mechanics
A jet cruises at 230 m/s with a lift-to-drag ratio of 16 and a thrust-specific fuel consumption of 0.55 per hour. Its weight falls from 1.25 to 1.0 times its final weight during the cruise. Using the Breguet range equation, how far does it fly, in kilometers?
5,374.919578
km
0.01
R = (V / c)(L/D) ln(Wi / Wf), c in 1/s
ae-l-i05
aerospace
intensive
flight-mechanics
An aircraft weighing 400 kN with a wing area of 250 square meters flies level at 220 m/s where the air density is 0.5 kg/m³. Its drag polar is CD = 0.022 + 0.05 CL². What power is needed to overcome drag, in megawatts?
15.222818
MW
0.01
CL = W/(qS), CD, D = q S CD, P = D V
ae-l-i06
aerospace
intensive
propulsion
A rocket launched straight up has an initial mass of 60 t and burns 40 t of propellant at 300 kg/s with an exhaust velocity of 2900 m/s. Including gravity losses at a constant 9.81 m/s² and ignoring drag, what is its speed at burnout, in meters per second?
1,877.975637
m/s
0.01
t = 40000/300 s, v = ve ln(m0/mf) - g t
ae-l-i07
aerospace
intensive
orbits
A satellite in a circular orbit takes 6 hours per revolution. What is its altitude above Earth's surface, in kilometers? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
10,392.383734
km
0.01
r = (GM T^2 / 4 pi^2)^(1/3), h = r - R
ae-l-i08
aerospace
intensive
propulsion
A rocket nozzle expands gas from a chamber temperature of 3300 K to an exit pressure that is 1.5% of the chamber pressure. The gas has a ratio of specific heats of 1.22 and R = 360 J/(kg·K), and the mass flow is 60 kg/s. Ignoring pressure thrust, what thrust does it produce, in kilonewtons?
158.716897
kN
0.01
ve from isentropic expansion, F = mdot ve
ae-l-i09
aerospace
intensive
flight-mechanics
A glider has the drag polar CD = 0.03 + 0.05 CL². Flying at its best lift-to-drag ratio in still air, how far can it glide from an altitude of 2000 m, in kilometers?
25.819889
km
0.01
(L/D)max = 1 / (2 sqrt(K CD0)), d = (L/D)max h
ae-l-i10
aerospace
intensive
orbits
A satellite in a circular orbit 800 km above Earth's surface changes its inclination by 8 degrees in a single burn. What delta-v does that take, in kilometers per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
1.040144
km/s
0.01
v = sqrt(GM/r), dv = 2 v sin(di/2)
ae-q-c01
aerospace
calm
flight-mechanics
An aircraft climbs from 2000 m to 5000 m in 10 minutes. What is its average rate of climb, in meters per second?
5
m/s
0.01
RC = dh / dt
ae-q-c02
aerospace
calm
propulsion
A rocket engine with a thrust of 1.2 MN burns propellant at 400 kg/s. Ignoring pressure thrust, what is its effective exhaust velocity, in meters per second?
3,000
m/s
0.01
ve = F / mdot
ae-q-c03
aerospace
calm
aerodynamics
An aircraft flies at Mach 0.8 where the speed of sound is 300 m/s. What is its airspeed, in meters per second?
240
m/s
0.01
v = M a
ae-q-c04
aerospace
calm
aerodynamics
A sailplane wing has a span of 18 m and a mean chord of 0.9 m. What is its aspect ratio (unitless)?
20
0.01
AR = b / c for a rectangular wing
ae-q-a01
aerospace
alert
aerodynamics
An aircraft flies at 250 m/s where the air density is 0.41 kg/m³. What dynamic pressure does it experience, in kilopascals?
12.8125
kPa
0.01
q = rho v^2 / 2, in kPa
ae-q-a02
aerospace
alert
flight-mechanics
An aircraft with a mass of 5000 kg and a wing area of 25 square meters flies level at 90 m/s in air of density 1.0 kg/m³. Taking g = 9.81 m/s², what lift coefficient does it need (unitless)?
0.484444
0.01
CL = 2 m g / (rho v^2 S)
ae-q-a03
aerospace
alert
orbits
A satellite is in a circular orbit 600 km above Earth's surface. What is its orbital period, in minutes? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
96.538955
min
0.01
r = R + h, T = 2 pi sqrt(r^3 / GM)
ae-q-a04
aerospace
alert
propulsion
A spacecraft with a dry mass of 2000 kg carries 1500 kg of propellant for an engine with a specific impulse of 310 s. Taking g0 = 9.80665 m/s², what is its ideal delta-v, in meters per second?
1,701.266412
m/s
0.01
dv = Isp g0 ln((dry + prop) / dry)
ae-q-i01
aerospace
intensive
orbits
A spacecraft in a circular orbit 300 km above Earth fires its engine once to enter an elliptical orbit with its perigee there and its apogee 2000 km above Earth. What delta-v does that burn take, in meters per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
425.114091
m/s
0.01
a = (r1 + r2) / 2, vp from vis-viva, dv = vp - v_circ
ae-q-i02
aerospace
intensive
aerodynamics
An aircraft flies at 270 m/s where the air temperature is 220 K. With a ratio of specific heats of 1.4 and R = 287 J/(kg·K), what is the ratio of stagnation temperature to static temperature (unitless)?
1.16494
0.01
a = sqrt(g R T), M = v / a, T0/T = 1 + (g-1)/2 M^2
ae-q-i03
aerospace
intensive
flight-mechanics
An aircraft weighing 50 kN has a wing area of 30 square meters and the drag polar CD = 0.025 + 0.045 CL². At sea level, where the air density is 1.225 kg/m³, at what speed is its lift-to-drag ratio highest, in meters per second?
60.421215
m/s
0.01
CL* = sqrt(CD0 / K), V = sqrt(2 W / (rho S CL*))
ae-q-i04
aerospace
intensive
propulsion
A jet engine takes in 80 kg/s of air at a flight speed of 220 m/s and exhausts it at 600 m/s. Ignoring fuel mass and pressure thrust, what thrust power does it deliver to the aircraft, in megawatts?
6.688
MW
0.01
F = mdot (ve - v0) = 30.4 kN, P = F v0
aho-c1
null
calm
null
What is the Mach number of a jet flying at 600 m/s where the speed of sound is 300 m/s (unitless)?
null
null
null
null
aho-c2
null
calm
null
A rocket engine has a specific impulse of 450 s. Taking g0 = 9.80665 m/s², what is its exhaust velocity, in meters per second?
null
null
null
null
aho-c3
null
calm
null
What is the air pressure at sea level in the International Standard Atmosphere, in pascals?
null
null
null
null
aho-c4
null
calm
null
An aircraft weighing 80000 N has a wing area of 40 square meters. What is its wing loading, in pascals?
null
null
null
null
aho-c5
null
calm
null
A rocket expels 80 kg/s of propellant at 3200 m/s. Ignoring pressure thrust, what is its thrust, in kilonewtons?
null
null
null
null
aho-c6
null
calm
null
What is the load factor of an aircraft in a level turn at a 45 degree bank angle (unitless)?
null
null
null
null
aho-c7
null
calm
null
A 2 kg drone hovers in place. Taking g = 9.81 m/s², what total thrust do its rotors produce, in newtons?
null
null
null
null
aho-c8
null
calm
null
What is the escape velocity from the surface of the Moon, in kilometers per second?
null
null
null
null
aho-a1
null
alert
null
An aircraft with a wing area of 28 square meters flies at 75 m/s in air with a density of 1.0 kg/m³, at a lift coefficient of 0.45. What lift does the wing produce, in newtons?
null
null
null
null
aho-a2
null
alert
null
What is the speed of a satellite in a circular orbit 800 km above Earth, in kilometers per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
null
null
null
null
aho-a3
null
alert
null
A rocket with a specific impulse of 330 s has a mass ratio of 5. Taking g0 = 9.80665 m/s², what is its ideal delta-v, in meters per second?
null
null
null
null
aho-a4
null
alert
null
What is the speed of sound in air at 250 K, in meters per second, with a ratio of specific heats of 1.4 and R = 287 J/(kg·K)?
null
null
null
null
aho-a5
null
alert
null
A glider with a lift-to-drag ratio of 30 glides in still air from an altitude of 1500 m. How far does it travel over the ground, in kilometers?
null
null
null
null
aho-a6
null
alert
null
Air at 300 K is compressed isentropically by a pressure ratio of 8. With a ratio of specific heats of 1.4, what is its temperature after compression, in kelvin?
null
null
null
null
aho-a7
null
alert
null
An airplane makes a level turn at 120 m/s with a 45 degree bank. Taking g = 9.81 m/s², what is its turn radius, in meters?
null
null
null
null
aho-a8
null
alert
null
What is the period of a circular orbit 1000 km above Earth, in minutes? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
null
null
null
null
aho-i1
null
intensive
null
What total delta-v does a Hohmann transfer from a 400 km circular orbit to a 2000 km circular orbit take, in kilometers per second? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
null
null
null
null
aho-i2
null
intensive
null
A two-stage rocket lifts off at 80 t. Stage 1 burns 55 t of propellant at a specific impulse of 290 s and drops 8 t of dry mass; stage 2 then burns 12 t of propellant at a specific impulse of 330 s. Taking g0 = 9.80665 m/s², what is the total ideal delta-v, in meters per second?
null
null
null
null
aho-i3
null
intensive
null
An aircraft weighing 200 kN with a wing area of 100 square meters flies level at 150 m/s where the air density is 0.9 kg/m³. With a drag polar CD = 0.025 + 0.05 CL², what thrust does it need, in kilonewtons?
null
null
null
null
aho-i4
null
intensive
null
A spacecraft with a dry mass of 5000 kg needs 2500 m/s of delta-v from an engine with a specific impulse of 300 s. Taking g0 = 9.80665 m/s², how much propellant does it need, in kilograms?
null
null
null
null
aho-i5
null
intensive
null
An aircraft flies at 600 m/s where the air temperature is 223 K. With a ratio of specific heats of 1.4 and R = 287 J/(kg·K), what is the stagnation temperature, in kelvin?
null
null
null
null
aho-i6
null
intensive
null
A satellite needs a circular orbit with a period of 6 hours. What altitude above Earth's surface does that take, in kilometers? Use GM = 3.986e14 m³/s² and an Earth radius of 6371 km.
null
null
null
null
aho-i7
null
intensive
null
A jet with a lift-to-drag ratio of 15 cruises at 230 m/s with a thrust-specific fuel consumption of 0.7 per hour, until its weight falls from 1.25 to 1.0 times its final weight. Using the Breguet range equation, how far does it fly, in kilometers?
null
null
null
null
aho-i8
null
intensive
null
A rocket launched straight up burns propellant for 120 s, going from 50 t to 20 t with an exhaust velocity of 2900 m/s. Including gravity losses at a constant 9.81 m/s² and ignoring drag, what is its speed at burnout, in meters per second?
null
null
null
null
ae-c01
aerospace
calm
aerodynamics
An aircraft flies at 255 m/s where the speed of sound is 340 m/s. What is its Mach number (unitless)?
0.75
0.01
M = v / a
ae-c02
aerospace
calm
flight-mechanics
What is the weight of a 1200 kg aircraft at a gravitational acceleration of 9.81 m/s², in newtons?
11,772
N
0.01
W = m g
ae-c03
aerospace
calm
units
An aircraft flies at 250 knots, where 1 knot is 0.5144 m/s. What is its airspeed in meters per second?
128.6
m/s
0.01
v = 250 * 0.5144
ae-c04
aerospace
calm
propulsion
A rocket engine has a specific impulse of 300 s. What is its effective exhaust velocity in meters per second, taking g0 = 9.80665 m/s²?
2,941.995
m/s
0.01
ve = Isp g0
ae-c05
aerospace
calm
atmosphere
What is the air density at sea level in the International Standard Atmosphere, in kilograms per cubic meter?
1.225
kg/m^3
0.01
ISA sea-level density
ae-c06
aerospace
calm
constants
What is standard gravitational acceleration g0, in meters per second squared?
9.80665
m/s^2
0.005
Defined value 9.80665
ae-c07
aerospace
calm
atmosphere
What is the speed of sound at sea level in the International Standard Atmosphere, in meters per second?
340.292287
m/s
0.01
ISA sea level: a = sqrt(gamma R T) = 340.3 m/s
ae-c08
aerospace
calm
flight-mechanics
An aircraft weighing 50000 N has a wing area of 25 square meters. What is its wing loading, in pascals?
2,000
Pa
0.01
W / S (N/m^2 = Pa)
ae-c09
aerospace
calm
aerodynamics
A wing has a span of 30 m and an area of 90 square meters. What is its aspect ratio (unitless)?
10
0.01
AR = b^2 / S
ae-c10
aerospace
calm
propulsion
A rocket engine expels 250 kg/s of propellant at an exhaust velocity of 2800 m/s. Ignoring pressure thrust, what is its thrust in kilonewtons?
700
kN
0.01
F = mdot ve
ae-c11
aerospace
calm
orbits
What is the escape velocity from Earth's surface, in kilometers per second?
11.186129
km/s
0.01
v = sqrt(2 GM / R) = 11.19 km/s
ae-c12
aerospace
calm
flight-mechanics
An aircraft weighing 60 kN has 300 kW of excess power. What is its rate of climb, in meters per second?
5
m/s
0.01
ROC = P_excess / W
ae-c13
aerospace
calm
orbits
A 1000 kg satellite moves at 7500 m/s. What is its kinetic energy, in joules?
28,125,000,000
J
0.01
E = m v^2 / 2
End of preview.

PLM orchestrator: eval sets and every model answer

Data behind ro-rbl/plm-orchestrator, a local router that sends engineering tasks to small Ollama models (Qwen3-4B, Qwen3-8B, Qwen2.5-Coder-14B) in checkable domain packs: electrical, aerospace, physics, software, SQL and CAD.

Contents

  • eval_sets/: the project's own problem sets, with answer keys computed in code: electrical, aerospace and physics problems with numeric answers and units; software tasks with hidden tests; SQL tasks with reference queries; CAD parts with sizes and volumes; routing and level hold-out cases, including routing cases for a server given a database (router/sqldb_*). Several "fresh" sets were written before the experiment they judged.
  • results/: every saved model answer from every sweep and benchmark run, one JSONL line per task, with the grade, the pack's key-free check result and token counts. The routing simulations replay these files.
  • RESULTS.md: the headline table and the comparison with published scores.

Caveats

  • Every problem in eval_sets/ was written by Claude (an AI model), except router/sqldb_spider.jsonl and router/sqldb_schemas.json: 120 Spider dev questions and 20 Spider schemas, unchanged, by Tao Yu et al., CC BY-SA 4.0, and those two files stay under that license. Hold-outs guard against tuning to the test, not against author bias. The public-benchmark runs are the independent check.
  • Results on public benchmarks include model answers to those benchmarks' questions, not the questions: Spider dev, test and train (CC BY-SA 4.0), BIRD mini-dev and dev (CC BY-SA 4.0), UGPhysics, HumanEval+ and MBPP+ (EvalPlus; HumanEval MIT, MBPP CC BY 4.0), SciBench (MIT), TheoremQA (MIT), GSM8K (MIT), CADPrompt (no license stated; only our models' answers are included, no CADPrompt data). Use those results under the original benchmarks' terms.
  • Models ran locally through Ollama at temperature 0 on a 24 GB Apple-silicon Mac; compute is measured as model size times generated tokens, not wall time.

License

The eval sets and code-side data are MIT (see the repository), except the two Spider files above (CC BY-SA 4.0). Results on third-party benchmarks follow the note above.

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