First slide

Dynamics of rotational motion about fixed axis

Question

A constant torque of 1000 Nm turns a wheel of of M.I 200kg m² about an axis through centre. The angular velocity after 3s is

Easy

A

15 rad s^-1
B

22 rad s^-1
C

28 rad s^-1
D

60 rad s^-1

Solution

ω₀ = 0
$\large \tau = I\alpha \Rightarrow \alpha = \frac{\tau }{I} = \frac{{1000}}{{200}} = 5rad/{s^2}$
at t = 3sec
$\large \omega = \omega_0+\alpha(t)=0+5(3)=15rad/s$

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