Question

A disk of a radius 50 cm rotates at a constant rate of 100 rpm. What distance in meters will a point on the outside rim travel during 30 seconds of rotation? ​ ​

Answer 1

The point will travel a distance of 15708 centimeters in 30 seconds of rotation.

Step-by-step explanation:

In this case, we see a disk rotating at constant rate, the travelled distance of a point on the outside rim (
), in centimeters, is determined by using this expression:

(1)

Where:

- Angular speed, in radians per second.

- Radius of the disk, in centimeters.

- Time, in seconds.

If we know that
,
and
, then the travelled distance of the point is:

The point will travel a distance of 15708 centimeters in 30 seconds of rotation.