1A record turntable is rotating at 33 rev/min. A༢3watermelon seed is on the turntable 6.0 cm from theaxis of rotation. (a) Calculate the acceleration of theseed, assuming that it does not slip. (b) What is theminimum value of the coefficient of static frictionbetween the seed and the turntable if the seed is notto slip? (c) Suppose that the turntable achieves itsangular speed by starting from rest and undergoing aconstant angular acceleration for 0.26 s. Calculatethe minimum coefficient of static friction requiredfor the seed not to slip during the accelerationperiod.(a) Number iUnits(b) NumberUnits(c) Number iUnits<><>><>

Answers a The angular velocity is given by ω=3331rev/min=3100=180100=95rev/s=910πrad/s.…

Answered: 1 A record turntable is rotating at 33…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 77PQ

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(a) A 22.0-kg child is riding a playground merry-go-round that is rotating at 40.0 rev/mm. What centripetal force is exerted if he is 1.25 m from its center? (b) What centripetal force is exerted if the merry-go-round rotates at 3.00 rev/min and he Is 8.00 m from its center? (c) Compare each force with his weight.
A child with mass 40 kg sits on the edge of a merry-go-round at a distance of 3.0 m from its axis of rotation. The merry-go-round accelerates from rest up to 0.4 rev/s in 10 s. If the coefficient of static friction between the child and the surface of the merry-go-round is 0.6, does the child fall off before 5 s?
In a tape recorder, the tape is pulled past the read-write heads at a constant speed by the drive mechanism. Consider the reel from which the tape is pulled: As the tape is pulled off, the radius of the roll of remaining tape decreases, (a) How does the torque on the reel change with time? (b) If the tape mechanism is suddenly turned on so that the tape is quickly pulled with a large force, is the tape more likely to break when pulled from a nearly full reel or from a nearly empty reel?
If centripetal force is directed toward the center, why do you feel that you are ‘thrown’ away from the center as a car goes around a curve? Explain.
A 30.O-g ball at the end of a stung is swung in a vertical circle with a radius of 25.0 m. The rotational velocity Is 200.0 cm/s. Find the tension in the string: (a) at the top of the circle, (b) at the bottom of the circle, and (c) at a distance of 12.5 cm from the center of the circle (r=12.5cm).
A diver off the high board imparts an initial rotation with his body fully extended before going into a tuck and executing three back somersaults before hitting the water. If his moment of inertia before the tuck is 16.9kgm2 and after the tuck during the somersaults is 4.2kgm2 , what rotation rate must he impart to his body directly off the board and before the tuck if he takes 1.4 s to execute the somersaults before hitting the water?
Check Your Understanding A centrifuge used in DNA extraction spins at a maximum rate of 7000 rpm, producing a “g-force on the sample that is 6000 times the force of gravity. If the centrifuge takes 10 seconds to come to rest from the maximum spin rate: (a) What Is the angular acceleration of the centrifuge? (b) What is the angular displacement of the centrifuge during this time?
While driving his motorcycle at highway speed, a physics student notices that pulling back lightly on the right handlebar tips the cycle to the left and produces a left turn. Explain why this happens.
A bug has a mass of 3 g and is rotating around acompact disk. Its velocity is 1.2 m/s. If the cd was rotating anyfaster, the bug would fly off. The coefficient of static frictionis 0.25.a) What is the magnitude of the frictional force on the bug?b) What is the magnitude of the centripetal force on the bug?c) What is the magnitude of the bug's acceleration?d) What is the radius of the cd?e) What is the period of one revolution for the bug?
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Problem 1. What is the maximum speed with which a 2,000-kg car can round a turn of radius 75.0 m on a flat (horizontal) road if the coefficient of static friction between the tires and the road is 0.600? What angle should the turn be banked to keep the car on the bank at this speed if the coefficient of static friction is changed to 0 (an iey curve)?
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