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 percent of skater's mass.

Expert Solution

genius_generous answered 2 years ago

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).

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

The propeller of a plane has a rotational inertia of 890 kg*m2. Each blade has a...

The propeller of a plane has a rotational inertia of 890 kg*m2. Each blade has a length of 3.3 m. The propellor starts from rest and reaches a final angular speed of 16 rad/s in only 8 seconds. a) What was the angular acceleration of the propeller? b) What was the net torque exerted on the propeller while it was accelerating? c) When t = 4 s, what was ω for the propeller? d) When t = 4 s, through...

True/False: A machine’s efficiency can be over 100%. The rotational inertia of a body increases when...

True/False: A machine’s efficiency can be over 100%. The rotational inertia of a body increases when the distance of its mass from the rotation axis increases. The Leaning Tower of Pisa is in stable equilibrium. When a tin can is whirled in a horizontal circle, the net force on it acts inward. You are in a car going over a cliff. You are weightless.

a ) The moment of inertia of a rigid body, of mass 40 kg, about an...

a ) The moment of inertia of a rigid body, of mass 40 kg, about an axis through a point at 0.5 m from the mass centre, is 110 kg.m2. What is the moment inertia of the same body about an axis, parallel to the first, at a distance 1.0 m from the mass centre? [4 marks] i) A metal hoop, with mass m concentrated along its rim, has radius r, and rolls on a fixed surface without slipping. It...

3. Two ice skaters collide on the ice. A 39.6-kg skater moving South at 6.21 m/s...

3. Two ice skaters collide on the ice. A 39.6-kg skater moving South at 6.21 m/s collides with a 52.1-kg skater moving East at 4.33 m/s. The two skaters entangle and move together across the ice. Determine the magnitude and direction of their post-collision velocity (answer: 3.64 m/s at 42.5 degrees) Please provide a detailed diagram

You will estimate how much slower an ice skater would spin, if a can of soda...

You will estimate how much slower an ice skater would spin, if a can of soda dropped into her hand while she was spinning. You may model her body as a vertical cylinder of radius 20 cn abd nass 50 kg, spinning about a vertical axis. Assume that shes initially spinning 10 times per second, so that initially wi=20pis-1. Suddenly she is handed the soda can, which is small enough that we can model it as a point-like mass of...

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 cylinder with rotational inertia I1 = 2.6 kg · m^2 rotates clockwise about a vertical...

A cylinder with rotational inertia I1 = 2.6 kg · m^2 rotates clockwise about a vertical axis through its center with angular speed ω1 = 5.8 rad/s. A second cylinder with rotational inertia I2 = 1.3 kg · m2 rotates counterclockwise about the same axis with angular speed ω2 = 6.6 rad/s. If the cylinders couple so they have the same rotational axis, what is the angular speed of the combination (in rad/s)? What percentage of the original kinetic energy...

At the center of a 50-mm-diameter circular ice rink, a 76 kg skater traveling north at...

At the center of a 50-mm-diameter circular ice rink, a 76 kg skater traveling north at 2.7 m/s collides with and holds onto a 61 kg skater who had been heading west at 3.8 m/s . How long will it take them to glide to the edge of the rink? Express your answer using two significant figures. Where will they reach it? Give your answer as an angle north of west.

Question