Question

A constant torque of 1000 N-m turns a wheel of moment of inertia 200kg- $m^2$ about an axis through its center Its angular velocity after 3 sec is:

• A. $1rad/sec$
• B. $5rad/sec$
• C. $10rad/sec$
• D. $15rad/sec$

Answer 1

The correct option is D $15rad/sec$

We know,

$\tau =I\alpha$

$1000=200\alpha$

$\alpha =5$

$\omega =\alpha \times t$

$\omega =3\times 5=15rad/s$

Option $\text{D}$ is the correct answer