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Angular Velocity Calculator

🪐 Gravity & circular motion. Use the Angular velocity formula to find angular velocity ω, time for one turn t: pick the value you want, type the others, and the answer updates as you go.

ω=2πT=2πf\omega = \dfrac{2\pi}{T} = 2\pi f
Angular velocity ω6.2832 rad/s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Angular velocity ωrad/s
Time for one turn Ts

Worked example

Find the angular velocity ω when Time for one turn T = 1 s.

Using ω = 2π/T = 2π f: Angular velocity ω = 6.2832 rad/s.

Frequently asked questions

What is the formula for Angular velocity?

ω = 2π/T = 2π f.

What do the letters stand for, and what units are used?

Angular velocity ω in rad/s, Time for one turn T in s.

How do you calculate angular velocity ω?

Put the values into ω = 2π/T = 2π f. For example, with Time for one turn T = 1 s, angular velocity ω = 6.2832 rad/s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (angular velocity ω, time for one turn t) and fill in the others: it rearranges the formula for you.

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