MCQ
A wheel is at rest. Its angular velocity increases uniformly and becomes $60\ rad/sec$ after $5\ sec$. The total angular displacement is ........ $rad$.
- A$600$
- B$75$
- C$300$
- ✓$150$
✓
Answer
Correct option: D.
$150$
d
Angular acceleration $\alpha = \frac{{{\omega _2} - {\omega _1}}}{t} = \frac{{60 - 0}}{5} = 12\ rad/se{c^2}$
Angular acceleration $\alpha = \frac{{{\omega _2} - {\omega _1}}}{t} = \frac{{60 - 0}}{5} = 12\ rad/se{c^2}$
Now from $\theta = {\omega _1}t + \frac{1}{2}\alpha \,{t^2}$= $0 + \frac{1}{2}(12){(5)^2} = 150\,rad.$
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