AnswersIC Pre-Cal - DeeringAngles and Trigonometric Functions

Linear and Angular Velocity Answers

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Marisol has a bicycle with wheels of 29 inches in diameter. Eliza has a bicycle with wheels of 26 inches in diameter. Both women pedal their bicycles so that the wheels turn at a constant rate of 150 revolutions per minute.Which statement compares the speeds of the two women? (Note: 1 mile = 5,280 feet)

A
Eliza travels approximately 1.34 miles per hour faster than Marisol.
B
Eliza travels approximately 2.68 miles per hour faster than Marisol.
C
Marisol travels approximately 1.34 miles per hour faster than Eliza.
D
Marisol travels approximately 2.68 miles per hour faster than Eliza.
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A lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. What is the linear velocity, in inches per minute, at the end of the blade?

A
120π
B
720π
C
2,160π
D
4,320π
9

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true? Check all that apply.

A
The angular velocity is 10π rad/sec.
B
The angular velocity is 10π rad/min.
C
The angular velocity is 60π rad/min.
D
The angular velocity is 600π rad/sec.
E
The angular velocity is 600π rad/min.

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