A variable-speed drill, initially turning at 150 rpm, speeds up to 1300 rpm in a time interval of 1.0 s. What is its average rotational acceleration?


______rpm/s2

To find the average rotational acceleration, we need to use the formula:

Average Acceleration = (Final Speed - Initial Speed) / Time

We are given that the initial speed is 150 rpm, the final speed is 1300 rpm, and the time interval is 1.0 s.

Substituting these values into the formula, we have:

Average Acceleration = (1300 rpm - 150 rpm) / 1.0 s

Simplifying, we get:

Average Acceleration = 1150 rpm / 1.0 s

To convert the unit from rpm/s to rpm/s^2, we divide by a factor of 60 (since there are 60 seconds in a minute):

Average Acceleration = 1150 rpm / 1.0 s * (1 min / 60 s)

Simplifying further, we have:

Average Acceleration = 19.17 rpm/s^2

Therefore, the average rotational acceleration of the drill is approximately 19.17 rpm/s^2.