A) The earth's radius is 6.37x106m; it rotates once every 24 hours. What is the speed of a point on the earth's surface located at 1/4 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?) Express your answer with the appropriate units.

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A) The earth's radius is 6.37x106m; it rotates once every 24 hours.
What is the speed of a point on the earth's surface located at 1/4 of the length of the arc between the equator and the
pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?) Express your answer with
the appropriate units.
B) The cable lifting an elevator is wrapped around a 1.1-mm-diameter cylinder that is turned by the elevator's motor. The
elevator is moving upward at a speed of 2.9 m/sm/s. It then slows to a stop, while the cylinder turns one complete
revolution.
How long does it take for the elevator to stop?
Transcribed Image Text:A) The earth's radius is 6.37x106m; it rotates once every 24 hours. What is the speed of a point on the earth's surface located at 1/4 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?) Express your answer with the appropriate units. B) The cable lifting an elevator is wrapped around a 1.1-mm-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 2.9 m/sm/s. It then slows to a stop, while the cylinder turns one complete revolution. How long does it take for the elevator to stop?
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