Engineering optimzation·rotational-kinetic-energy

Rotational Kinetic Energy

Given the moment of inertia and angular velocity of a rotating body, compute the rotational kinetic energy stored in the system.

✓ All 3 test cases pass.

Inputs

Moment of inertia

Moment of inertia in kg·m² or equivalent units

Angular velocity

Angular velocity in rad/s

Test cases

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#	Inputs	Expected	Got	Status
1	{"J":2,"angular_velocity":4}	16	16	✓
2	{"J":0.5,"angular_velocity":2}	1	1	✓
3	{"J":3,"angular_velocity":3}	13.5	13.5	✓

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Endpoint

POST/api/calculators/engineering-optimzation/rotational-kinetic-energy/compute

Inputs (2)

Jnumberdefault 1
angular_velocitynumberdefault 1

Example

curl -sX POST http://localhost:3001/api/calculators/engineering-optimzation/rotational-kinetic-energy/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"J":1,"angular_velocity":1}}'

Try it live

Edit the body below, then click Call API.

Request body

Response

(click Call API to see the response)

full API docs →

Source: Pattern from: Ch1.pdf. Reproduces a standard rotational-kinetic-energy computation; problem text paraphrased.

AI disclosure: Calculator code generated by anthropic/claude-haiku-4-5-20251001; verified by 3 test cases.