An airplane propeller slows from 14 rad/s to 1.3 rad/s as the propeller completes 14 revolutions. Find the angular acceleration of

Question

the propeller assuming that it is a constant value.

Answer 1

We can use the formula for angular acceleration:

angular acceleration = (final angular velocity - initial angular velocity) / time

First, we need to convert the number of revolutions to radians. One revolution is equal to 2π radians, so 14 revolutions is equal to 14 x 2π = 28π radians.

Then, we can plug in the values:

angular acceleration = (1.3 rad/s - 14 rad/s) / (28π / 2π) = -12.7 rad/s²

Note that the negative sign indicates that the propeller is slowing down, which makes sense given that the initial angular velocity is greater than the final angular velocity.