A horizontal merry-go-round is initially at rest. At t = 0, it is given a constant angular acceleration ? = 0.0710 rad/s2, which increases its angular velocity. A 23.5 kg child sits at 2.35 m from the axis of rotation.   (a) At t = 9.70 s, determine the centripetal force acting on the child. ________  N   (b) At t = 9.70 s, determine the direction of the net force acting on the child. Specify the angle from the radially inward direction.  ________ °   (c) Through how many radians has the merry-go-round rotated within that 9.70 s time?   _______ rad

The International Space Station has a mass of 440,725 kg and is located 420 km away from the surface of the earth. Earth has a mass of 5.97 x 1024 kg and a radius of 6371 km. How quickly does the ISS travel as it orbits the earth, assuming uniform circular motion? Express your answers in rev/day (for angular velocity) and mph (for tangential velocity). Define ALL variables.

A point mass of 0.39 kg is set to rotate about a fixed axis 0.76 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.10 rad/s.At what time centripetal force acting on the mass be 50.8 N?

A centrifuge is a common laboratory instrument that separates components of differing densities in solution. This is accomplished by spinning a sample around in a circle with a large angular speed. Suppose that after a centrifuge in a medical laboratory is turned off, it continues to rotate with a constant angular deceleration for 10.7s before coming to rest.How many revolutions did the centrifuge complete after being turned off?Δθ= (?) rev

A 83-kg pilot in training sits in a centrifuge that spins his seat around a central axis. When the seat is moving in its circular path at a speed of 3.0 m/s, he feels a 585-N force pressing against his back (the seat faces the axis). What is the radius of the centrifuge?

A man stands on a merry-go-round that is rotating at 2.13 rad/s. If the coefficient of static friction between the man's shoes and the merry-go-round is ?s = 0.63, how far from the axis of rotation can he stand without sliding? (Enter the maximum distance in meters.) m

A 50.0 kg child stands at the rim of a merry-go-round of radius 1.70 m, rotating with an angular speed of 2.95 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?

It has been suggested that rotating cylinders about 20.0 mi long and 5.49 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?                                                                                             rad/s

A van with mass m = 1000 kg is driving around a circular curve of radius r = 950 m when it begins to rain. The coefficients of static friction between the track and tires is μd = 0.59 when dry and μw = 0.17 when wet. Write an expression for the maximum magnitude of the force of static friction Ff acting on the van if μs is the coefficient of friction. What is the maximum tangential speed that the van can take the corner at without slipping when dry in m/s? What is the maximum tangential speed when wet in m/s?

You have a disk that is 105 kg, has a 0.297-m radius, and is turning at 71.15 rpm, and you press a steel axe against it with a radial force of 46.65 N. Assuming the kinetic coefficient of friction between steel and stone is 0.451. How many turns will the stone make before coming to rest?