Abarrel ride at an amusement park starts from rest and speeds up to 0.520 rev/sec in 7.26 s. what is the angular acceleration during that time? (unit = rad/s^2)

Angular acceleration of the barrel is 0.011 rad/s².

Explanation:

It is given that,

Initial speed of the barrel ride = 0

Final speed of the barrel ride,

On converting rev/sec to rad/sec as :

Since, 1 revolution = 2π radian

So,

Time, t = 7.26 s

We need to find the angular acceleration of the barrel during that time. It is given by :

So, the angular acceleration of the barrel is 0.011 rad/s². Hence, this is the required solution.          

answer: 31, 5556. 952 seconds