Physics

Circular Motion Calculator

Find linear speed and centripetal acceleration for circular motion.

Calculated Output

Linear speed 8

Centripetal acceleration (m/s²) 32

Formula: v = ω·r ; a = ω²·r

Step-by-Step Breakdown

1. Values used:

2. Angular velocity = 4 rad/s

3. Radius = 2

5. Linear speed = Angular velocity x Radius = 4 x 2 = 8

6. Centripetal acceleration = 32m/s²

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The math behind it

Linear speed v = ω·r. Centripetal acceleration a = ω²·r = v²/r points toward the center.

ω = 4 rad/s, r = 2 m → speed 8 m/s, acceleration 32 m/s².

Why is there acceleration at constant speed?

The direction keeps changing, which is itself an acceleration.