1) A child is on a merry-go-round which is rotating in uniform circular motion. The radius of the ride is 1.2 m and the period is 5 seconds. a. What is the frequency? b. What is the child's centripetal acceleration? 2) The Moon orbits the Earth at a distance of 384,000 km and with a period of 27.3 days. a. Convert the distance to meters. b. Convert the period to seconds. c. What is the Moon's orbital speed? d. What is the Moon's centripetal acceleration? 3) A coin with a mass of 5 g is placed 11 cm from the center of a rotating turntable. The turntable can rotate with a maximum frequency of 36 rpm without the coin sliding off. a. What is the rotational period? b. What is the coin's speed? c. What is the value of the force of friction acting upon the coin preventing it from sliding off? 4) A Ferris wheel has a diameter of 15 m. The wheel rotates with a period of 45 seconds. a. What is the value of the apparent weight (the normal force) acting upon a rider with a mass of 50 kg at the top of the wheel? b. What about at the bottom of the wheel? 5) Tarzan swings on a vine as he crosses a river. If his arms are capable of exerting a force of 1400 N on the vine, what is the maximum speed that he can tolerate at the bottom of the swing without falling off? His mass is 80 kg and the vine is 4.8 m long.
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Given: Period (T) = 5 seconds Frequency (f) = 1 / T f = 1 / 5 f = 0.2 Hz Show more…
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Khoobchandra A.
26. Consider a wheel, which is shaped like a ring, has a mass of 8.2 kg and a diameter of 74 cm. A tangential force of 50.0 N is applied to the outer edge of the wheel for 5.0 seconds. The wheel is initially at rest. a. What is the magnitude of the torque being applied to the wheel? b. What is the moment of inertia of this wheel? c. What will be the resulting angular acceleration? d. What will be the angular velocity of the wheel after 5.0 seconds? e. What will be the linear velocity of a point on the outer edge of the wheel after 5.0 seconds? f. What will be the average angular velocity of this wheel during this 5.0 second interval? g. What will be the total angular displacement of this wheel during the 5.0 second interval? h. What is the total work done on the wheel during the 5.0 second interval? i. What will be the final kinetic energy of this wheel at the end of the 5.0 second interval? j. What will be the angular momentum of this wheel at the end of the 5.0 second interval? k. What is the power being applied to the wheel when t = 5.0 seconds? Suppose that the wheel has an initial angular velocity of 12.0 Rad/s before the external torque has been applied. l. What will be the angular velocity of the wheel at the end of 5.0 seconds? m. What will be the total angular displacement of this wheel during the 5.0 second period? n. How much work will be done on this wheel during the 5.0 second period?
Sam S.
1) A golfer is rotating the golf club at a rate of 1800 deg/s when the club makes contact with the ball. If the golf club head is located 0.95 m from the axis of rotation, what is the linear velocity of the golf club head? 2) Starting from rest, Carl Lewis accelerates horizontally at the average rate of 1.8 m/s2. If he accelerates for 5 seconds, how fast is he running at the end of this period? 3) If Carl Lewis (from problem #2) has a mass of 105 kg, what is the net horizontal force acting on him during this period? 4) "Moose" Malone, world champion hammer thrower, rotates at a rate of 15.2 radians/sec just prior to releasing the hammer. If the hammer (i.e., the steel mass on the end of the cable) is located 1.7 meters away from the axis of rotation, what is the radial acceleration experienced by the hammer? 5) A bicycle wheel is rolling forward, which has a radius of 44 cm. The wheel undergoes 45 revolutions. What was the total linear distance of the bicycle? [one revolution = 360 degrees]
Manish J.
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