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1. The first Ferris Wheel, built in 1889, had a diameter of 76 meters. Assume that the carts at the rim of the wheel moved at a speed of 1.8 m/s a) What was the acceleration of the passengers? b) If the speed of the carts doubled, by what factor would the acceleration change? TTTI

1. The first Ferris Wheel, built in 1889, had a diameter of 76 meters. Assume that the carts at the rim of the wheel moved at a speed of 1.8 m/s a) What was the acceleration of the passengers? b) If the speed of the carts doubled, by what factor would the acceleration change? TTTI

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I don’t understand how to do these problems for this worksheet on kinematic of circular motion.
DATE 2 NAME entka Gupta 7-2 Kinematics of Circular Motion 1. The first Ferris Wheel, built in 1889, had a diameter of 76 meters. Assume that the carts at the rim of the wheel moved at a speed of 1.8 m/s a) What was the acceleration of the passengers? b) If the speed of the carts doubled, by what factor would the acceleration change? 2. It takes 78 seconds for a student driver to circle three times around a suburban rotary at a constant speed of 12 m/s. a) What is the diameter of the rotary? b) What is the acceleration of the driver? 3. An ant crawls onto an old record. When the ant is 6.0 cm from the center of the record, it begins to rotate at 33 RPM (revolutions per minute). a) What is the frequency of the spinning record? b) What is the ant's acceleration, in g's? 4. A training centrifuge is used for testing the g ratings of fighter pilots. The centrifuge has arms 3.5 m long. A trained pilot being tested in the centrifuge is able to maintain consciousness for centripetal accelerations of up to 8.0 g's. a) What is his maximum speed, in m/s? b) What is the period of the centrifuge? c) What is the frequency?
Transcribed Image Text:DATE 2 NAME entka Gupta 7-2 Kinematics of Circular Motion 1. The first Ferris Wheel, built in 1889, had a diameter of 76 meters. Assume that the carts at the rim of the wheel moved at a speed of 1.8 m/s a) What was the acceleration of the passengers? b) If the speed of the carts doubled, by what factor would the acceleration change? 2. It takes 78 seconds for a student driver to circle three times around a suburban rotary at a constant speed of 12 m/s. a) What is the diameter of the rotary? b) What is the acceleration of the driver? 3. An ant crawls onto an old record. When the ant is 6.0 cm from the center of the record, it begins to rotate at 33 RPM (revolutions per minute). a) What is the frequency of the spinning record? b) What is the ant's acceleration, in g's? 4. A training centrifuge is used for testing the g ratings of fighter pilots. The centrifuge has arms 3.5 m long. A trained pilot being tested in the centrifuge is able to maintain consciousness for centripetal accelerations of up to 8.0 g's. a) What is his maximum speed, in m/s? b) What is the period of the centrifuge? c) What is the frequency?
5. A white pony in the inner row of a merry-go-round is located 2.0 m from the center, while a black pony in the outer row is located 4.0 m from the center. a) Which pony is faster? b) Which pony has the greatest acceleration? c) What is the ratio of the black pony's acceleration to the white pony's ( ab: aw)? OMIT- 6. A pendulum bob on a string of length L is released from a horizontal position at point A as shown. a) Using conservation of energy, write an expression for its velocity at point B, the bottom of its swing. b) Write an expression for its acceleration at point B. 7. The President sits at his desk in the Oval Office. The White House is located at 39° latitude, as shown on the diagram. a) Calculate the distance r' from the earth's rotational axis to the White House. The radius of the earth is 6.38 *106 m. b) Find the President's velocity due to the earth's rótation. c) Find his centripetal acceleration. Equator Answers: 1) 0.085 m/s2, 4x 2)99 m, 29 m/s2 3) 0.55 Hz, 0.073 gʻs 4) 17 m/s, 1.3 s, 0.75 Hz 5) black, black, 2:1 6) 2Lg,2g 7)4.96* 106 m, 361 m/s, 0.026 m/s2
Transcribed Image Text:5. A white pony in the inner row of a merry-go-round is located 2.0 m from the center, while a black pony in the outer row is located 4.0 m from the center. a) Which pony is faster? b) Which pony has the greatest acceleration? c) What is the ratio of the black pony's acceleration to the white pony's ( ab: aw)? OMIT- 6. A pendulum bob on a string of length L is released from a horizontal position at point A as shown. a) Using conservation of energy, write an expression for its velocity at point B, the bottom of its swing. b) Write an expression for its acceleration at point B. 7. The President sits at his desk in the Oval Office. The White House is located at 39° latitude, as shown on the diagram. a) Calculate the distance r' from the earth's rotational axis to the White House. The radius of the earth is 6.38 *106 m. b) Find the President's velocity due to the earth's rótation. c) Find his centripetal acceleration. Equator Answers: 1) 0.085 m/s2, 4x 2)99 m, 29 m/s2 3) 0.55 Hz, 0.073 gʻs 4) 17 m/s, 1.3 s, 0.75 Hz 5) black, black, 2:1 6) 2Lg,2g 7)4.96* 106 m, 361 m/s, 0.026 m/s2
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