## Related questions with answers

Question

Starting from rest at t = 0, a wheel undergoes a constant angular acceleration. When t = 2.0 s, the angular velocity of the wheel is 5.0 rad/s. The acceleration continues until t = 20 s, when it abruptly ceases. Through what angle does the wheel rotate in the interval t = 0 to t = 40 s?

Solution

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1 of 4$\textbf{Givens:}$

Initial angular velocity of the wheel, $\omega_i=0$ rad/s.

Till time $t_1=20$ s, the angular acceleration is constant.

At $t=2$ s, the angular velocity becomes $\omega=5$ rad/s.

From $t_1=20$ s to $t_2=40$ s, the angular acceleration of the wheel is zero.

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