A) 10 s
B) 12 s
C) 14 s
D) 16 s
Correct Answer: A
Solution :
| Pitch of the screw \[=\frac{1}{12}cm\] |
| Number of revolutions made to cover \[3\,cm=\frac{3}{1/12}=36\] |
| Spin frequency of the nut = 216 rpm \[=\frac{216}{60}Hz\] |
| Angular speed \[\omega =2\pi v=2\pi \times \frac{216}{60}\] |
| \[=7.2\pi \,\,rad/s\] |
| \[\omega =\frac{\theta }{t}\] |
| \[\Rightarrow t=\frac{\theta }{\omega }=\frac{2\pi n}{\omega }=\frac{2\pi \times 36}{7.2\pi }=10s\] |
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