Question

A sharpening wheel is traveling at 5 rad/s, it slows down to rest in 30 seconds while sharpening an axe. What is its angular acceleration?

Answer 1

Answer:

Angular acceleration $= 0.167$ rad/s^2

Explanation:

Given

Initial Angular velocity (w1) $= 5$ rad/s

Final Angular velocity (w2) $= 0$ rad/s

Time taken to change velocity from w1 to w2 $= 30$ seconds

Angular acceleration is equal to the change in angular velocity to the time taken for making thing change

Hence, Angular acceleration

$\frac{w_2 -w_1}{t} \\\frac{5-0}{30}\\0.167$rad/s^2