An ice skater is spinning at a particular rotational
velocity
when she decides to bring her arms inward, thus reducing her
moment of inertia. If she reduces her moment of inertia by
20.0%, her rotational velocity will increase by what percent?
An ice skater is spinning at a particular rotational velocity when she decides to bring her...
3. An ice skater can increase their angular velocity during a spin by pulling their arms inward, lowering their moment of inertia. The only external torques are small forces at small radii (in particular, friction in the tip of their skate), and can be ignored. Suppose they begin with their arms fully extended and bring them fully in, reducing their moment of inertia by half. (a) By what factor will their angular velocity ω change? Explain. (b) By what factor...
If an ice skater has a rotational inertia of 100 kg*m^(2)while spinning with an angular velocity of 2 rad/s, what is the ice skaters angular velocity if she changes her rotational inertia to 50 kg*m^(2)?
A skater is spinning about a fixed symmetrical vertical axis. When she lifts her arms above her head, her moment of inertia about this axis of rotation drops from 12.0 kg m2 to 8.00 kg m2. What is the ratio of her final rotational energy and her initial rotational energy?
3. An ice skater starts spinning at a rate of 2.0 rev/s with their arms extended. They then pull their arms in toward their body reducing their moment of inertia by ¼, what is the angular velocity of the skater with their arms pulled in?
Problem 2: An ice-skater, as we mentioned in lecture, in order to increase her angular velocity from 2.0 rev per 1.3 sec to 3.5 rev per sec she needs to decrease her moment of inertia to a value of 4.6 kg m/sec by pulling hers arms towards her body. a) Find her initial moment of inertia when her arms are out-stretched. b) Calculate the rotational kinetic energy for each case.
4. An ice skater with rotational inertia I = 0.23 kg*m* is spinning with angular speed w. They pull their arms in, increasing their angular speed to 4w. What is the final moment of inertia?
An ice skater with moment of inertia 70.0 kg•m2 is spinning at 41.0 rpm. If the skater pulls in her arms, her moment of inertia decreases to 50.0 kg•m2. What is the skater’s resulting angular velocity?
A figure skater is spinning slowly with arms outstretched. She brings her arms in close to her body and her moment of inertia decreases by 12. By what factor does her rotational Kinetic energy change?
A figure skater is spinning at a rate of 0.75 revolutions per second with her arms close to her chest. She then extends her arms outwards and her new rotational frequency is 0.50 revolutions per second. What is ratio of her new moment of inertia to her original moment of inertia?
A figure skater is spinning at a rate of 0.80 revolutions per second with her arms close to her chest. She then extends her arms outwards and her new rotational frequency is 0.40 revolutions per second. What is ratio of her new moment of inertia to her original moment of inertia?