Solveeit Logo

Question

Question: A torgue of 50 Nm acting on a wheel at rest rotates it through 200 radians in 5 sec. Calculate the a...

A torgue of 50 Nm acting on a wheel at rest rotates it through 200 radians in 5 sec. Calculate the angular acceleration produced:

A

8 rad/sec2

B

4 rad/sec2

C

16 rad/sec–2

D

12p rad/sec–2

Answer

16 rad/sec–2

Explanation

Solution

θ=ω0t+12αt2200=12α(5)26muα=16rad/s2\theta = \omega_{0}t + \frac{1}{2}\alpha t^{2} \Rightarrow 200 = \frac{1}{2}\alpha(5)^{2} \Rightarrow \mspace{6mu}\alpha = 16rad ⥂ / ⥂ s^{2}