First slide

Dynamics of rotational motion about fixed axis

Question

A constant torque of 1000 N-m turns a wheel of moment of inertia 200 kg-m² about an axis through its centre. Its angular velocity after 3 s is

Moderate

A

1 rad s^-1
B

5 rad s^-1
C

10 rad s^-1
D

15 rad s^-1

Solution

Angular acceleration, $α = \frac{τ}{I} = \frac{1000}{200} = 5 {rads}^{- 2}$
Now, angular velocity, $ω = α t = (5) (3) = 15 {rads}^{- 1}$

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