Answered: A 3.0-m-diameter merry-go-round with a… | bartleby

Related questions

Question

A 3.0-m-diameter merry-go-round with a mass of 250 kg is spinning at 20 rpm. John runs around the merry-go-round at 5.0 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-goround’s angular speed, in rpm, after John jumps on?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A 88.3 kg88.3 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.77 rad/s1.77 rad/s. A monkey drops a 9.71 kg9.71 kg bunch of bananas vertically onto the platform. They hit the platform at 4545 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 21.7 kg21.7 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.65 m1.65 m.
A merry-go-round is a common piece of playground equipment. A 3.0-mm-diameter merry-go-round, which can be modeled as a disk with a mass of 260 kgkg , is spinning at 17 rpmrpm. John runs tangent to the merry-go-round at 5.4 m/sm/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kgkg. Part A What is the merry-go-round's angular velocity, in rpmrpm, after John jumps on? Express your answer in revolutions per minute.
A 3.7-mm-diameter merry-go-round is rotating freely with an angular velocity of 0.90 rad/s. Its total moment of inertia is 1390 kg⋅m2kg. Four people standing on the ground, each of mass 70 kg, suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now? What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?
What is the angular momentum of the moon around the earth? The moon’s mass is 7.4 x 1022 kg and it orbits 3.8 x 108 m from the earth.
7. A 0.25 kg bullet is fired with a velocity of 200 m/s into two spheres mounted on a shaft with a vertical axis of rotation (coming out of the page) the spheres rotate horizontally. Each sphere has a mass of 0.80 kg and can be treated as a point mass. The mass of the shaft can be ignored. The bullet hits one of the spheres at the angle shown and sticks to the sphere which starts at rest. 30° Axis Of Rotation Determine the rotational inertia of the bullet/spheres system. C. d. Determine the magnitude of the angular velocity of the bullet/spheres system just after the bullet hits the sphere. 0.50 m
A wheel on a car has an angular momentum of 5.00 kg m2/s. If the radius of the wheel is 0.25m, what is the wheel’s angular velocity?
Consider a rotating 10 kg body for which k = 0.25 m and w = 3 rad/s. What is the angular momentum of the body?  2.5 kg.m2/s 5 kg.m2/s 7.5 kg.m2/s 10 kg.m2/s    QUESTION 2 Consider a rotating 10 kg body for which k = 0.25 m and w = 3 rad/s. What is the effect on the body's angular momentum if the mass doubles?  H stays the same H doubles H quadruples H halves    QUESTION 3 Consider a rotating 10 kg body for which k = 0.25 m and w = 3 rad/s. What is the effect on the body's angular momentum if the radius of gyration doubles?  H stays the same H doubles H quadruples H halves
A 97.9 kg97.9 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.55 rad/s1.55 rad/s. A monkey drops a 9.51 kg9.51 kg bunch of bananas vertically onto the platform. They hit the platform at 4545 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.5 kg20.5 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.73 m1.73 m.
A disk-shaped merry-go-round of radius 2.53 mm and mass 135 kg rotates freely with an angular speed of 0.641 rev/s . A 65.4 kg person running tangential to the rim of the merry-go-round at 3.51 m/sm/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. What is the final angular speed of the merry-go-round?
Two small 0.55-kg masses are attached to opposite ends of a very lightweight rigid rod 0.7 m long. The system is spinning in a horizontal plane around a vertical axis perpendicular to the rod located halfway between the masses. Each mass is moving in a circle of radius 0.35 m at a speed of 0.85 m/s. What is the total angular momentum of this system? kg-m²/s Need Help? Read It
A 80 g, 31-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 14 g ball of clay traveling horizontally at 2.2 m/s hits and sticks to the very bottom tip of the rod.To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate?
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 ◄►

SEE MORE QUESTIONS