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Linear and Angular Speed Calculator

🪐 Gravity & circular motion. Use the Linear and angular speed formula to find speed, angular velocity ω, radius: pick the value you want, type the others, and the answer updates as you go.

v=ωrv = \omega r
Speed3 m/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
Speedm/s
Angular velocity ωrad/s
Radiusm

Worked example

Find the speed when Angular velocity ω = 6 rad/s, Radius = 0.5 m.

Using v = ω r: Speed = 3 m/s.

Frequently asked questions

What is the formula for Linear and angular speed?

v = ω r.

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

Speed in m/s, Angular velocity ω in rad/s, Radius in m.

How do you calculate speed?

Put the values into v = ω r. For example, with Angular velocity ω = 6 rad/s, Radius = 0.5 m, speed = 3 m/s.

Can I solve for a different value?

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

All physics formulas in the Physics Formulas