A body rotating with uniform acceleration about its geometrical axis makes 8 rotations in the first 2 seconds. The number of rotations the body makes in the next 3 seconds is (Initially the body is at rest)

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Aicharya · Accepted Answer

By equation of motion $	heta=\omega_0 t+\frac{1}{2} \alpha t^2$ Here, angular velocity, $\omega_0=0$ $\begin{aligned} & 	heta=\frac{1}{2} \alpha t^2 \ & 8=\frac{1}{2} \alpha(2)^2 ...(i)\ & 	heta=\frac{1}{2} \alpha 5^2... (ii) \end{aligned}$ Divide equation (2) by (1) $\frac{	heta}{8}=\frac{\frac{1}{2} \alpha 5^2}{\frac{1}{2} \alpha 2^2} \Rightarrow 	heta=\frac{25 	imes 8}{4}=50 	ext { rotations }$

A body rotating with uniform acceleration about its geometrical axis makes 8 rotations in the first 2…

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