Rotational Motion Question 191

Question: A wheel having moment of inertia $2kg-m^{2}$ about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel’s rotation in one minute would be

Options:

A) 1.12Nm

B) 0.83Nm

C) 0.55Nm

D) 0.21 Nm

Show Answer

Answer:

Correct Answer: D

Solution:

[d]

$\tau \times \Delta t=I\omega $

or

$\tau \times 60=2\times 2\times 60\pi /60\Rightarrow \tau =0.21N-m$

$(\because f=60rpm\therefore \omega =2\pi f=2\pi \times \frac{60}{60})$



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