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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?

The linear velocity of the smaller gear is  72π centimeters per minute. The linear velocity of the larger gear is 54π  centimeters per minute.

The linear velocity of the smaller gear is  216π centimeters per minute. The linear velocity of the larger gear is 72π  centimeters per minute.

The linear velocity of the gears is the same. The linear velocity is  648π centimeters per minute.

The linear velocity of the gears is the same. The linear velocity is  216π centimeters per minute.

 Apr 24, 2020
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Since connected by a chain the LINEAR velocities are the same

 

the ANGULAR velocities are different due to the different radii

 

small gear 36 rev/min x (pi x 6 cm)/rev = linear velocity =  36 x pi x 6 cm/min                (pi x d = circumference = pi x 6)

large gear has same linear velocity

 Apr 24, 2020

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