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

Answer:

2035.75 cm/min

Step-by-step explanation:

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

-Linear velocity is distance covered over time:

$Speed=\frac{Distance}{Time}\\\\=\frac{Circumference}{Time}\\\\=\frac{36\times 3\times\pi\times 6}{1}\\\\=648\pi \ cm/min \ or \ 2035.75 cm/min$

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