A 245-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.700 rev/s in 2.00 s? (State the magnitude of the force.)

A way to test the tensile strength of a wire is to place a mass at the end of it and spin the mass with uniform circular motion. The speed at which the wire breaks is a measure of its strength. The maximum frequency of rotation before a certain wire breaks is 35.5 Hz. The wire is 50.5 cm long and has a mass of 0.656 kg. (a) Determine the speed with which the mass moves. (b) Calculate the centripetal force acting on the wire

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?

A small 0.340-kg object moves on a frictionless horizontal table in a circular path of radius 1.10 m. The angular speed is 7.09 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 108 N, what is the radius of the smallest possible circle on which the object can move? Number Units

Someone frequently throws a tennis ball for their dog to chase.Throughout the throwing motion, the angular velocity of their arm is 6.7radians/s, and the radius of rotation of the ball is 63.0 cm.One day they decide to test out a ball-throwing tool which effectivelyextends the radius of rotation by an extra 36 cm. Assuming all othervariables are equal, how much faster (in m/s) can they throw the ballwhen they use the launcher compared to when they don't?Express your answer to 2 decimals, and don't include units+.      Please type answer not write by hend

A 170-kg merry-go-round of radius 2.10 m is rotated by pulling a rope that is wrapped around its edge. What is the magnitude of the force (assume it to be constant) on the rope needed to bring the merry- go-round from rest to an angular speed of 0.400 rev/s in 3.00 s? (The moment of inertia of merry-go- round is 1/2MR2).

A point mass of .39kg is set to rotate about a fixed axis .76 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.10 rad/s^2. At what time will the centripetal force acting on the mass be 50.8N ?

A merry-go-round modeled as a disk of mass M = 7.50 x 10- kg and radius R = 2.10 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 82.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.05 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.470 m from the center. 5.88 rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. 2073.05 (c) Find the work done on the student as she walks to r = 0.470 m. -2073.05 Your response differs from the correct answer by more than 100%. J