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A wheel is subjected to uniform angular ...

A wheel is subjected to uniform angular acceleration about its axis, Initially , its angular velocity is zero. In the first 2s, it rotates through an angle `theta` in the next 2s it rotates through an angle `theta_2` Find the ratio of `theta_2/theta_1`

Text Solution

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As `theta_1= omega_0 t+1/2 at^2= theta +1/2 a(2)^2=2a`
`(theta_1+ theta_2)= omega_0 t+1/2 at^2= theta+1/2 a(4)^2=8a`
Thus `theta_2=6a or theta_2/theta_1=3`
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