MCQ
Angular displacement $(\theta )$ of a flywheel varies with time as $\theta = at + b{t^2} + c{t^3}$ then angular acceleration is given by
- A$a + 2bt - 3c{t^2}$
- B$2b - 6t$
- C$a + 2b - 6t$
- ✓$2b + 6ct$
✓
Answer
Correct option: D.
$2b + 6ct$
d
(d) Angular acceleration $\alpha = \frac{{{d^2}\theta }}{{d{t^2}}} = \frac{{{d^2}}}{{d{t^2}}}(at + b{t^2} + c{t^3})$$ = 2b + 6ct$
(d) Angular acceleration $\alpha = \frac{{{d^2}\theta }}{{d{t^2}}} = \frac{{{d^2}}}{{d{t^2}}}(at + b{t^2} + c{t^3})$$ = 2b + 6ct$
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