A 45 kg figure skater is spinning on the toes of her skates at 0.50 rev/s...

A 45 kg figure skater is spinning on the toes of her skates at 0.50 rev/s . Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg , 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 62 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head, where she appears to be a 45 kg, 20-cm-diameter, 200-cm-tall cylinder. Part A What is her new rotation frequency, in revolutions per second? Express your answer to two significant figures and include the appropriate units.

What is her new rotation frequency, in revolutions per second?

Solutions

Expert Solution

In order to find the new angular velocity of the skater we have to use the conservation of angular momentum.

The angular momentum is given by, moment of inertia × angular velocity.

genius_generous answered 10 months ago

Next > < Previous

Related Solutions

A 45 kg figure skater is spinning on the toes of her skates at 1.0 rev/s...

A 45 kg figure skater is spinning on the toes of her skates at 1.0 rev/s . Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg , 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 69 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head, where she appears to...

A: What is the angular momentum of a figure skater spinning at 3.4 rev/s with arms...

A: What is the angular momentum of a figure skater spinning at 3.4 rev/s with arms in close to her body, assuming her to be a uniform cylinder with a height of 1.4 m , a radius of 15 cm , and a mass of 48 kg ? **Express your answer using three significant figures and include the appropriate units B: How much torque is required to slow her to a stop in 4.5 s , assuming she does not...

A figure skater presses off the ice to begin spinning with her arms close to her...

A figure skater presses off the ice to begin spinning with her arms close to her body. After completing 2 turns in 0.8 seconds she moves her arms further away from her body, what will her new angular velocity be? a. <16.6 rad/s B. 18 rad/s C. 20 rad/s D. 24 rad/s

[15 pts] A figure skater is spinning in place with her arms outstretched at an angular...

[15 pts] A figure skater is spinning in place with her arms outstretched at an angular speed of 18.0 rad/s. She then raises her arms straight up to increase her angular speed. Her body has a mass of 58.0 kg and can be treated as a solid cylinder with a diameter of 36.0 cm, while each arm has a mass of 3.5 kg and can be treated as a thin rod of length 0.425 m when outstretched, and a hollow...

A 45 kg skater rounds a 4.5 m -radius turn at 6.6 m/s .What is the...

A 45 kg skater rounds a 4.5 m -radius turn at 6.6 m/s .What is the horizontal component of the force the ice exerts on her skate blades ? What is the vertical component of the force the ice exerts on her skate blades?At what angle can she lean without falling over?

A figure skater is spinning slowly with arms outstretched. He brings his arms in close to...

A figure skater is spinning slowly with arms outstretched. He brings his arms in close to his body and his angular velocity changes by a factor of 4. By what factor does his moment of inertia change, and why?

What happens when a spinning ice skater draws in her outstretched arms? (a) her angular momentum...

What happens when a spinning ice skater draws in her outstretched arms? (a) her angular momentum decreases (b) her angular momentum increases (c) her rotational speed decreases (d) her rotational speed increases

A playground merry-go-round is set spinning at 0.20 rev/s and then released. It slows to rest...

A playground merry-go-round is set spinning at 0.20 rev/s and then released. It slows to rest in 25 s. (a) Find the average angular acceleration of the merry-go-round during this time. (b) Assuming now that the angular acceleration is constant, how many turns does it make as it comes to rest?

A) Estimate the rotational inertia of a 60-kg ice skater by considering her body to be...

A) Estimate the rotational inertia of a 60-kg ice skater by considering her body to be a cylinder. Assume she's holding her arms tight to her torso, so they don't contribute significantly to her rotational inertia. Suppose that the distance from the center of rotation to the shoulders is 0.2 mm. B) Estimate the rotational inertia if she extends her arms fully. Suppose that the arm span of the ice skater is 1.6 mm and the arms make up 15...

An ice skater has a moment of inertia of 5.0 kg•m2 when her arms are outstretched....

An ice skater has a moment of inertia of 5.0 kg•m2 when her arms are outstretched. If she pulls in her arms and decreases her moment of inertia to 2.0 kg•m2, she will be spinning at 7.5 rps. How fast is she spinning initially? Report your answer in revolutions per second (rps).

Subjects