Question

A wheel is rotating with an angular velocity of 3 rad $s^{-1}$. If the angular acceleration is 2 rad $s^{-2}$ then angular velocity after 5 seconds.

• A. 3 rad $s^{-1}$
• B. 13 rad $s^{-1}$
• C. 10 rad $s^{-1}$
• D. 5 rad $s^{-1}$

Answer 1

Answer: (B)

13 rad $s^{-1}$

Initial angular velocity $w_i=3rad/s$

Angular acceleration $\alpha =2rad/s^2$

Time $t=5s$

Final angular velocity $w_f=w_i+\alpha t$

or $w_f=3+2\times 5=13rad/s$