Question

A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the given angular velocity? How far will it travel in that time? Round to the nearest tenth.

180°; 4 rev/sec

Answer 1

The coin travels 31.42 mm.

Explanation:

The coin roll revolution = 4 rev / sec

Angle = 180° which is 1/2 of a revolution(360°).

The circumference of a circle is 2πr.

Radius of the circle, r = 10 mm

The circumference of this coin = 20π mm.

Again 180° is half of a roll,

the circumference =
`(20\pi )/(2)` = 10π

The coin travels 31.42 mm.