Question

A flywheel is rotating at 28 rev/s. What is the total angle, in radians, through which a point on the flywheel rotates in 45 s?

Answer 1

The total angle through which a point on the flywheel rotates in 45 s is 2520π radians.

Step-by-step explanation:

To find the total angle through which a point on the flywheel rotates in 45 s, we can use the formula:

Angle = (angular velocity) x (time)

In this case, the angular velocity is given as 28 rev/s. We need to convert this to radians by multiplying it by 2π:

Angular velocity = 28 rev/s x 2π rad/rev = 56π rad/s

Now we can calculate the total angle:

Angle = 56π rad/s x 45 s = 2520π rad

Therefore, the total angle through which a point on the flywheel rotates in 45 s is 2520π radians.