Rotational Motion Question 101

Question: A constant torque of $1000 \mathrm{~N} \mathrm{~m}$ turns a wheel of moment of inertia $100 \mathrm{~kg} \mathrm{~m}^2$ about an axis passing through its centre. Starting from rest, its angular velocity after $3s \mathrm{}$ is :-
Options:

A)1 rads$^{−1}$

B)5 rads$^{−1}$

C)10 rads$^{−1}$

D)15 rads$^{−1}$

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Answer:

Correct Answer: D

Solution:

We know that ${T=Iα1000=200×α⇒α=5rad/s^{2}}$ .

Now we know ${ω=ωo+αt}$, and ${ωo=0ω=5×3=15}$ rads$^{−1}$



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