A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is 13.5 kg · m2 and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is 3.4 kg · m2 and she has 2.0 s to do the flips in the air?

An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8 kg · m2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45° with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5 kg · m2 ?

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

Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 15.3 rpm. The children have masses of 17.4, 29.5, and 40.8 kg. If the child who has a mass of 29.5 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?

A student, sitting on a stool rotating at a rate of 38 RPM, holds masses in each hand. When his arms are extended, the total rotational inertia of the system is 7.5 kg · m2. He pulls his arms in close to his body, reducing the total rotational inertia to 4.5 kg · m2. If there are no external torques, what is the new rotational velocity of the system?  RPM?

A figure skater wants to spin faster. With her arms and leg outstretched, she has a moment of inertia1 = 3.6 kgm2 and a spin rate of 2.0 rev/s. If she can squeeze her arms and leg closer to her rotation axis, she can spin at a rate of 24 rev/s. What is her new moment of inertia for the faster spin? O 1.9 kgm2 O 0.30 kgm2 O 7.2 kgm2 O 45 kgm2

Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.7 m, and is spinning at 19 rpm. The children have masses of 21.6 kg, 27.6 kg, and 35 kg.M = 98 kgm1 = 21.6 kgm2 = 27.6 kgm3 = 35 kgr = 1.7 mf = 19 rpm If the child who has a mass of 27.6 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?  f' =

A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 1.6 s to a final rate of 2.6 rev/s . If her initial moment of inertia was 5.0 kg⋅m2 , what is her final moment of inertia? How does she physically accomplish this change?

During a trampoline routine, a gymnast is tumbling in the air at 21 rad/s in a tuck position. He then extends into a layout position and doubles his radius of gyration just before landing on the trampoline bed.   How fast is his angular velocity in rad/s at this instant, just before landing on the trampoline bed?