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Introduction to Radial & Tangential Acceleration

Pictured abov...

Question

Pictured above are four disks rotating counter-clockwise (as viewed from above) at a constant speed. Which disk is experiencing greatest acceleration?

A

green

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B

red

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C

blue

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D

yellow

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E

All disks are experiencing the same acceleration.

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Solution

The correct option is A green
Velocity of each disk $= v$
Centripetal acceleration experienced by the disks $a = \frac{v^{2}}{r}$ $⟹ a \propto \frac{1}{r}$
where $r$ is the distance of the disk from the centre.
From figure, the green disk is the closest to the centre of rotation.
Hence the green disk will experience the greatest acceleration.

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