10) A figure skater wants to increase her rotational speed by a factor of 3. a) By what factor should she change her rotational inertia? b) How can she accomplish this (i.e. what should she do with her arms or legs)? c) How much does her angular momentum change when she speeds up?
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- a) A diver leaps from a platform and immediately goes into a tuck position. If we assume that the diver has an initial angular velocity of 7.5 rad/sec, and has an angular acceleration of -0.22rad/sec2,how long will it take for the diver to complete 2 full revolutions?b) Assume that the diver is 6 m above the water with an initial vertical velocity of 1.74 m/s when she begins to rotate. Will she be able to complete 2 full revolutions before hitting the water? Why or why not?q419) A playground merry-go-round with a radius of 1.53 m and a rotational inertia of 103.3 kgm2 is stationary. A ogre with a mass of 30.3 kg gets on and walks around the edge of the merry-go-round. How many revolutions around the merry-go-round must the ogre make in order for the merry-go-round to make two full revolutions? a) 150revolutions b) 9.1 revolutions c) 2.9 revolutions d) 0.7 revolutions e) 4.6 revolutions
- A rotating solid sphere, (mass = 1kg, radius = 25 cm) starts to spin from rest with a constant angular acceleration of a =1.5 rad / s². After 5s, what is: • The angular velocity of the sphere • The number of rotations (please include fractional answers) The rotational kinetic energy of the sphere if I =MRA playground merry-go-round has Moment of Inertia of 500 kg-m2 and a radius of 4.5 m. Four children, each with a mass of 40 kg are riding the merry-go-round on its outer edge. The merry-go-round with the children has an angular speed of 0.44 rad/s. If all the children move to the center at the same time, what happens to the angular speed of the merry go round? Explain.Help with the following questions: 1)A child is riding on a Merry-Go-Round. The child will experience both tangential acceleration and centripetal acceleration. a) True b) False 2)A ballet dancer is spinning in the middle of a horizontal frictionless stage. Which of the following things could he change by moving parts of his body or his whole body? a) rotational kinetic energy b) his moment of inertia c) his angular momentum d) All of the above e) None of the above f) Just moment of inertia and momentum g) Just energy and momentum 3)A wheel begins to rotate from rest with a constant angular acceleration of 2.2 rad/?. How many revolutions does it take for the wheel to reach an angular speed of 6.3 rad/s? 4) Two children are riding on a merry go round. One sits near the rim, the other mid way between the rim and the axis of rotation. Both children have the same angular displacement and translational speed a) True b) False 5)Two children are riding a Merry-Go-Round. Child 1 is sitting…
- Consider a situation where an ice skater spins without friction in the ice with her arms outstretched. Then he picks up his arms to his body, reducing his moment of inertia. Its angular momentum is preserved, so as it reduces its moment of inertia, it increases its angular velocity and rotates faster. Compared to hers initial rotational kinetic energy, what is hers final rotational kinetic energy like? explain with fundamentals of physicalA wheel has a radius of 0.1m and a moment of inertia of 4.00 kg-m2 starts from rest and accelerates under a constant torque of 12.0 N-m for 4.00 s. a) What is the wheel’s rotational kinetic energy at the end of 4.00 s? b) How far has the wheel rolled at the end of 4.00s?