A 325-kg merry-go-round with a radius of 1.50 m is spinning counterclockwise, as viewed from above, at 4.80 rad/s. A 35.0-kg child is hanging on tightly 1.25 m from the rotation axis. Her father applies friction to the outer rim to slow the merry-go-round to a stop in 5 s. Model the merry-go-round as a solid disk, and define counterclockwise as the positive direction of rotation. How much torque t must the child's father apply? 432 N-m Incorrect

A 325-kg merry-go-round with a radius of 1.50 m is spinning counterclockwise, as viewed from above, at 4.80 rad/s. A 35.0-kg child is hanging on tightly 1.25 m from the rotation axis. Her father applies friction to the outer rim to slow the merry-go-round to a stop in 5 s. Model the merry-go-round as a solid disk, and define counterclockwise as the positive direction of rotation. How much torque t must the child's father apply? 432 N-m Incorrect

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Three children are riding on the edge of a merry-go-round that is a disk of mass 96 kg, radius 1.1 m, and is spinning at 22 rpm. The children have masses of 20.4 kg, 26 kg, and 35 kg. M = 96 kgm1 = 20.4 kgm2 = 26 kgm3 = 35 kgr = 1.1 mf = 22 rpm A. What is the moment of inertia of the merry-go-round plus the children in kg⋅m2? B. If the child who has a mass of 26 moves to the center of the merry-go-round, what is the new moment of inertia in kg⋅m2? C. If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?
A wheel with a 15 cm radius rotating at 3 rad/s begins to speed up. After 5 seconds have passed, the wheel has undergone 23 full rotations.Calculate the angular acceleration of the wheel in units of rad/s^2 during this 5 second interval.Calculate how fast a point, located halfway between the center and the edge of the wheel, is moving in units of m/s at the end of this 5 second interval.
Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m². The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R T1 T2 mị m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? ,2 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s? 15
A small 0.360-kg object moves on a frictionless horizontal table in a circular path of radius 3.00 m. The angular speed is 4.97 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 160 N, what is the radius of the smallest possible circle on which the object can move?
An athlete with a mass of 62.0 kg is rotating head-over-heels in mid-air, at an angular speed of 2.00 revolutions per second, in a tucked position (that is, with arms, legs, and head pulled into a tight ball). In this position, the athlete can be modeled as a solid sphere with a radius of 0.500 m, rotating about its center. Just before landing, while still in the air, the athlete fully extends her arms and legs. In this position, she can be modeled as a long, thin rod, with a length of 1.80 m, the distance from her feet to her fingertips. The rod rotates about the center, with the axis of rotation perpendicular to the length of the rod. What is her angular speed (in revolutions per second) with her arms and legs fully extended?
While placing a compact disc into a CD player, you notice a small chip on its edge. You attempt to play the CD anyway by placing the CD into the player's deck with the chip at 0o = 12.6° as measured from the +x-axis. The CD begins to rotate with angular acceleration a = 2.31 rad/s². If the CD has been spinning for t = 3.51 s and the disc has a radius of r = 6.00 cm, what are the x-y coordinates of the chip after this time, assuming the center of the disc is located at (0.00,0.00). X = y = cm cm
A ball (in the form of a spherical shell which has a moment of inertia of 2/3 M R^2) rolls down a roof, then falls to the ground. The ball has a mass of 1.65 g and a radius of 15.0 cm. The roof is inclined at 20.0 degrees and the ball rolls a distance of 3 meters along the roof before falling off. a) What is the angular speed of the ball at the moment it leaves the roof? b) If the distance from the end of the roof to the ground is 2.50 m, how many revolutions does the ball make before it hits the ground?
A 0.45 kg tetherball is attached to a pole and rotating in a horizontal circle of radius r₁ = 1.4 m and is circling at angular speed = 1.42 rad/s. As the rope wraps around the pole the radius of the circle shortens and became r2 = 0.9 m, that decreases the moment of inertia of the rotating tetherball. What is the moment of inertia of the rotating ball before the rope is wrapped around the pole measured in kgm² (answer with 3 decimal places)?
A child jumps to the edge of a carousel, that is in the shape of a circular plate with a radius of 1.3 m and was rotating at an angular velocity of 1.2 s-1 before the chuld jumped on it. The weight of the carousels is 80 kg, the weight of the child is 22 kg. What is their angular velocity after the jump? Later, the child moves closer to the center of the carousel plate by 80 cm. What is the new angular velocity?
Ice skaters can increase the angular speed of their spins by pulling their arms towards their body. A skater with their arms extended has a moment of inertia of 2.49 kg m2 and a moment of inertia of 0.77 kg m2 after pulling their arms in. If a skater begins a spin with their arms extended such that they are rotating with an angular speed of 2.07 rad/s, what will their rotation speed be when they pull their arms in?
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg. m² and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round? rev/min
A small 0.400-kg object moves on a frictionless horizontal table in a circular path of radius 3.30 m. The angular speed is 6.63 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 113N, what is the radius of the smallest possible circle on which the object can move?