Question

Two coins are placed on a turntable rotating at constant 30rpm. Coin #1 is placed half the distance of coin #2 from the center of rotation of the turntable. How do the magnitudes of their centripetal accelerations compare?

Answer #1

Angular speed the turntable is rotating at = = 30 rpm = 30 x (2/60) rad/s = 3.141 rad/s

Distance of coin 1 from the center of rotation =
R_{1}

Centripetal acceleration of coin 1 = a_{1}

Distance of coin 2 from the center of rotation =
R_{2}

Coin 1 is placed at half the distance of coin 2.

R_{2} = 2R_{1}

Centripetal acceleration of coin 2 = a_{2}

Taking ratio of the centripetal accelerations,

**Magnitude of centripetal acceleration of coin 1 is half
of that of coin 2.**

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