Question

Two wheel gears are connected by a chain. The larger gear has a radius of 5 centimeters and the smaller gear has a radius of 3 centimeters. The smaller gear completes 36 revolutions in 20 seconds.

What is the linear velocity of each of the gears in centimeters per minute?

Answer 1

2035.75 cm/min

Explanation:

-Since the two gears are connected by the same chain, they have the same linear velocity.

-Linear velocity is distance covered over time:

`Speed=(Distance)/(Time)\\\\=(Circumference)/(Time)\\\\=(36* 3*\pi* 6)/(1)\\\\=648\pi \ cm/min \ or \ 2035.75 cm/min`

Hence, the linear velocity of both gears is 2035.75 cm/min