Physics

Angular Velocity Calculator

Convert RPM to angular and linear velocity.

Calculated Output

Angular velocity (rad/s) 104.72

Linear velocity 20.944

Formula: ω = RPM × 2π ÷ 60 ; v = ω × r

Step-by-Step Breakdown

1. Values used:

2. Rotation speed = 1,000 RPM

3. Radius = 0.2

5. Angular velocity = 104.72rad/s

6. Linear velocity = 20.944

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The math behind it

ω = RPM × 2π ÷ 60 (rad/s); linear speed at radius r is v = ω × r.

1000 RPM, 0.2 m → 104.7 rad/s, 20.9 m/s.

Linear vs angular?

Angular is rotation rate; linear is the speed of a point at the given radius.