EVERYDAY CLARITY

Angular Acceleration Calculator

How quickly did angular velocity change? Enter the stated inputs to calculate this model.

Enter your values

01

Use a dot or comma for decimals.

Your result
Angular acceleration
2 rad/s²

Result for the values shown.

Calculations run in your browser.

What to enter
InputMeaning and units
Initial angular velocity (rad/s)Enter initial angular velocity in rad/s; use the same basis as the other measurements.
Final angular velocity (rad/s)Enter final angular velocity in rad/s; use the same basis as the other measurements.
Elapsed time (s)Enter elapsed time in s; use the same basis as the other measurements.

Understanding your result

Read Angular acceleration (rad/s²) in the units and model stated on this page. The formula alpha=(w2-w1)/t defines the relationship; measurement accuracy and model applicability are separate from numerical precision.

Common mistakes

  • Mixing input units or changing the physical meaning of a variable without changing the model.

Check your calculation

  • Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.

Calculation checks, sources and review limits

How quickly did angular velocity change?

How quickly did angular velocity change? Enter the stated inputs to calculate this model.

Common uses

  • How quickly did angular velocity change

How it works

alpha=(w2-w1)/t

Worked example

Enter Initial angular velocity: 2 rad/s; Final angular velocity: 12 rad/s; Elapsed time: 5 s. Results: Angular acceleration: 2 rad/s².