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  4. A torque of 1 N-m is applied to a wheel which is at rest. After 2 seconds the angular momentum in kg -m2/s is

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Q. A torque of $1\, N-m$ is applied to a wheel which is at rest. After $2$ seconds the angular momentum in $kg\,-m^2/s$ is

KEAMKEAM 2017System of Particles and Rotational Motion

Solution:

As; $\tau=I \alpha$
So, $\alpha=\frac{\tau}{I}$
Now $W=\alpha \Delta t$
And $ L =I W $
$ =I \alpha \Delta t $
$ =I \frac{\tau}{I} \Delta t=\tau \Delta t $
$ =1(N .m) \times 2(s) $
$=2 \,kgm ^{2} s ^{-1} $