ALGEBRA 2 HW help

Question

a coin has a radius of 10 mm. How long will it take for it to roll through the given angle at the given angular velocity? how far will it travel in that time? 360degrees/ 7rev/s

Answer 1

The coin roll 1 revolution in 1/5 second

180° is 1/2 of a revolution. So the coin rolls through the angle in 1/10 second.

 

The circumference of a circle is 2πr.

The circumference of this coin is 20π mm.

Again 180° is half of a roll, or 10π

The coin travels 31.42 mm