A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round, which can be modeled as a disk with a mass of 210 kg , is spinning at 17 rpm. John runs tangent to the merry-go-round at 5.2 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. What is the merry-go-round's angular velocity, in rpm, after John jumps on?

A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round, which can be modeled as a disk with a mass of 210 kg , is spinning at 17 rpm. John runs tangent to the merry-go-round at 5.2 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. What is the merry-go-round's angular velocity, in rpm, after John jumps on?

Similar questions

A thin rod of length 2.55 m and mass 12.7 kg is rotated at an angular speed of 4.20 rad/s around an axis perpendicular to the rod and through one of its ends. Find the magnitude of the rod's angular momentum. ?kg · m2/s
A 3.0 kg particle moves in a circle of radius 2.0 m with an angular momentum of 30.0 kg⋅m2/s. What is its speed of rotation?
Change in angular momentum. In the figure below, a Texas cockroach with mass m = 0.0470 kg (they are large) rides on a uniform disk of mass M = 10.8m and radius R = 0.0960 m. The disk rotates like a merry-go-round around its central axis. Initially, the cockroach is at radius r = R and the angular speed of the disk is w; = 0.910 rad/s. Treat the cockroach as a particle. The cockroach crawls inward to r = 0.330R. What is the change in angular momentum of (a) the cockroach-disk system, (b) the cockroach, and (c) the disk? (a) Number (b) Number (c) Number p. Units Units Units Rotation axis ◄►
Two big bugs, Buzz and Crunchy each of mass 0.65 kg, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 3 m and it rotates once every 1.2 s. What is the magnitude of the net force on Buzz, in Newtons? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm. A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm. If there's no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk =MR for rotation about its center of mass parallel to the z-axis. %3D Ihemisphere = MR for rotation about its center of mass parallel to the z-axis. Edit View Ansert Format Tools Table COREI
Three children are riding on the edge of a merry-go-round that is 102 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The children have masses of 22.4, 30.5, and 40.8 kg. If the child who has a mass of 40.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? rpm
A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.941 rad/s. You, with a mass of 70.9 kg, walk clockwise around the platform along its edge at the speed of 1.03 m/s with respect to the platform. Your 21.1 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 17.3 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 90.9 kg and radius 1.83 m. Calculate the total angular momentum of the system. total angular momentum: 206.521 kg · m²/s
A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.947 rad/s. You, with a mass of 75.1 kg, walk clockwise around the platform along its edge at the speed of 1.09 m/s with respect to the platform. Your 20.3 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 18.9 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 92.7 kg and radius 1.95 m. Calculate the total angular momentum of the system. total angular momentum: kg · m?/s
A thin rod with a length of 4.0 m and a mass of 4.2 kg is initially at rest. It is capable of spinning around a frictionless axle that goes through the top of the rod. A 2.5 kg mass of clay collides perfectly idealistically with the bottom of the rod. The clay was traveling perfectly horizontally with a speed of 12 m/s before the collision. How fast will the rod with the clay attached to it rotate around the axle in radians per second? The only external force on the clay/rod system come from the axle, which exerts no torque about itself.
20
Four 100 g masses are mounted on a much lighter (assume massless) ring. The ring has a radius of 0.1 m. If the ring is to spin around an axis perpendicular to the plane of the ring and passing through its center, what is the moment of inertia? 0.004 kg m^2 0.04 kg m^2 0.001 kg m^2 0.01 kg m^2 0.002 kg m^2
A kid's merry-go-round in a park is a thin 150 kg disk (I = ½ MR2) with a radius of 3 m mounted to rotate freely about a central axis. On the edge of %3D the disk is an essentially massless bar. A 25 kg child jumps onto the bar (tangentially to the outer rim of the disk) at a speed of 12 m/s and a distance of 3 m from the rotation axis. If we think of the child as being essentially a point mass, what is the angular velocity of the system after the collision?