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Question

The wheel starting from rest is rotating with a constant angular acceleration 3rad/s2, the radius of wheel is 0.5m. The centripetal acceleration of the particle on the rim at end of 2 seconds is

A
10m/s2
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B
15m/s2
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C
18m/s2
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D
12m/s2
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Solution

The correct option is C 18m/s2Given that a wheel is rotating with constant angular acceleration =α=3rad/s2Radius of wheel is =r=0.5mAngular velocity of wheel at any time t =ω=ωo+αt ⟹ω=3t at t=2secs ⟹ω=6rad/s∴ Centripetal acceleration of the particle at t=2sec⟹ac=ω2r ⟹ac=62∗0.5=18m/s2

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