5. A mass m rotates at constant speed v at a radius of R from the rotational axis. A force Fprovides the centripetal force Fc. If you double m, R, and v, the force neededto keep themass in circular motion would(a) stay the same.(b) double.(c) halve.(d) quadruple.

Given: Centripetal force is required to rotate the body in a circular motion. It depends on the…

Answered: A mass m rotates at constant speed v at…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 10.2CYU: Check Your Understanding A centrifuge used in DNA extraction spins at a maximum rate of 7000 rpm,...

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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?
An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8kgm2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45 with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5kgm2 ?
An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.800 m at an angular speed of 0.500 rev/s. What are (a) the tangential speed of the ball and (b) its centripetal acceleration? (c) If the maximum tension the rope can withstand before breaking is 100. N, what is the maximum tangential speed the ball can have?
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.
Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater's nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins.
A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates an unbanked curve in the road that can be regarded as an arc of a circle of radius 62.0 m. While on the curve, the speed of the car is 15.0 m/s at the instant the briefcase starts to slide across the backseat toward the side of the car. (a) What force causes the centripetal acceleration of the briefcase when it is stationary relative to the car? Under what condition does the briefcase begin to move relative to the car? (b) What is the coefficient of static friction between the briefcase and seat surface?
A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is 13.5kgm2 and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is 3.4kgm2 and she has 2.0 s to do the flips in the air?
MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a).A.1.5.0.kg.child is riding a playground merry-go-round that is rotating at 50.0 rev/min. What centripetal force (in N) must she exert to stay on if she is 2.00 m from its center? (Enter a number.) N SCOLPHYS2016ACC 6.3.P.023. Enter a number. (b) What centripetal force (in N) does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 9.00 m from its center? (Enter a number.) XN (c) Compare each force with her weight. (For each answer, enter a number.) (force from (a))/(weight) = (force from (b))/(weight) = X
What would Earth’s rotational period haveto be for objects on the equator to have acentripetal acceleration of 9.8 m/s 2? AssumeEarth’s radius is 6,380 km.
Roads are often banked (see above) to make travelling around comers safer. In the case of a banked road where does the centripetal force come from? Select one: O a. The weight of the car Ob. The reaction force O Friction Answer: A highway corner of radius 350 m is banked at 15. A car of mass 1400 kg travels round this comerg=9.8m/s/s What is the value of the weight force? Answer State the size of the vertical component of the reaction force (F)? Answer F What is the size of the reaction force F? 15° Answer What is the size of the horizontal component of F? Answer Calculate the speed of the car Answer Calculate the time taken to travel around the corner. Assume the comer is one sixteenth of a circle.
11:51 ull LTE 1 Safari 6. A car going over a hill. a) What is the centripetal force? b) Draw the diagram. 7. A book bag being spun in a circle. a) What is the centripetal force? b) Draw the diagram.
4. A mass m rotates at constant speed v at a radius of R from the rotational axis. A force F provides the centripetal force Fc. If you double the radius R of the motion, without changing m or v, the force needed to keep the mass in circular motion would (a) stay the same. (b) double. (c) halve. (d) quadruple.

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A mass m rotates at constant speed v at a radius of R from the rotational axis. A force F provides the centripetal force Fc. If you double m, R, and v, the force neededto keep the mass in circular motion would (a) stay the same. (b) double.