Question
Angular displacement $(\theta )$ of a flywheel varies with time as $\theta = at + b{t^2} + c{t^3}$ then angular acceleration is given by
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Answer
(d) Angular acceleration $\alpha = \frac{{{d^2}\theta }}{{d{t^2}}} = \frac{{{d^2}}}{{d{t^2}}}(at + b{t^2} + c{t^3})$$ = 2b + 6ct$
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