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# Angular and Linear Velocities

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Two wheel gears are connected by a chain. The larger gear has a radius of 8 centimeters and the smaller gear has a radius of 3 centimeters. The smaller gear completes 24 revolutions in 20 seconds.

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

These below are my awnsers choices

• The linear velocity of the gears is the same. The linear velocity is 432π centimeters per minute.

• The linear velocity of the smaller gear is 144π centimeters per minute. The linear velocity of the larger gear is 54π centimeters per minute.

• The linear velocity of the gears is the same. The linear velocity is 7.2π centimeters per minute.

• The linear velocity of the smaller gear is 432π centimeters per minute. The linear velocity of the larger gear is 144π centimeters per minute.

Mar 28, 2024

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The smaller  gear  completes  72 revs per minute

This  is     72 * 2pi * 3  =  432pi  cm / min

They both will have the same linear velocity

They will have different angular velocities

Mar 29, 2024