Linear and Angular Velocity Answers

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A fan has blades that spin at 50 revolutions per minute. The blades are 20 inches long. What is the angular velocity of the blades, in radians per minute? Round your answer to the nearest hundredth. rad/min

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A 40-meter-long blade of a wind turbine makes one complete revolution in 10 seconds. To the nearest tenth, the linear velocity of the blade is meters per second.

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3

A particle travels along a circular path that has a radius of 3 feet. The angular velocity of the particle is 18 radians per minute. The linear velocity of the particle is feet per minute.

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4

An object travels in a circular path that has a diameter of 4 feet. The object makes 1,320 revolutions per hour.What is the linear velocity, in miles per hour, of this object? (Note: 1 mile = 5,280 feet)

A
π
B
2π
C
5,280π
D
10,560π
5

Billy goes on the teacup ride at the local carnival. He is seated 16 inches from the center of his teacup, which is spinning at a rate of 4 revolutions per minute. What is Billy’s angular velocity, in radians per second? Round your answer to the nearest hundredth. rad/sec

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6

A car is traveling at a speed of 50 miles per hour. Each wheel of the car makes 770 revolutions per minute. To the nearest tenth of an inch, what is the diameter of each car wheel? (Note: 1 mile = 5,280 feet) inches

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7

A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second? Round your answer to the nearest hundredth. rad/sec

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8

The minute hand of a clock is 5 cm long. What is the linear velocity, in centimeters per minute, at the tip of the minute hand? Round your answer to the nearest hundredth. cm/min

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Linear and Angular Velocity Answers — Common…