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Q.

A wheel is under pure rotational motion about an axis passing through its centre with constant angular velocity.

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a

if angular velocity is increasing then acceleration of particles on a spoke if moved from centre to periphery remains constant

b

acceleration of particles on a spoke if moved from centre to periphery continuously increases

c

acceleration of particles on a spoke if moved from centre to periphery continuously increases and on peripheral points, it remains same

d

accelerations of particles in both the cases remain same

answer is B, C.

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Detailed Solution

Acceleration is given by $ω^{2} r$ and it increases if moved from centre to periphery. Accelerations of all end points will be same. If $ω$ is varying acceleration will be ${[(r α)^{2} + (r ω^{2})]}^{1 / 2}$ . On moving from centre to periphery acceleration (When $ω$ is varying) will increase.

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A wheel is under pure rotational motion about an axis passing through its centre with constant angular velocity.