When a figure skater brings arms closer to the body, she reduced the moment of inertia of some of its mass. This is because moment of inertia depends directly on the square of distance of mass from axis of rotation. As the distance of arms from body reduce, moment of inertia reduces.
Now, In this circular motion, Angular Momentum remains conserved.
Angular Momentum is given by:-
L = I × w where w= angular velocity.
Now, if moment of inertia reduces, angular velocity must increase in order to conserve the angular momentum.
what principle guarentees that a figure skater spins faster when the arms are brought closer to...
A figure skater spins with her arms outstretches at a rate of 10 rev/s. When she pulls her arms closer to her body, her moment of inertial about the spin axis decreased by 10%, what is the skaters new rotational rate in rev/sec?
The outstretched hands and arms of a figure skater preparing for
a spin can be considered a slender rod pivoting about an axis
through its center ( Ibar = 1 12 mℓ2 where ℓ is the length of the
bar ). When the skater's hands and arms are brought in and wrapped
around their body to execute the spin, the hands and arms can be
considered a thin-walled hollow cylinder. The hands and arms have a
combined mass 10 kg....
The outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center (Figure 1). When his hands and arms are brought in and wrapped around his body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. His hands and arms have a combined mass 8.0 kg . When outstretched, they span 1.9 m ; when wrapped, they form a cylinder...
Part A The outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center. (See the figure below (Figure 1).) When the skater's hands and arms are brought in and wrapped around his body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. His hands and arms have a combined mass of 8.50 kg. When outstretched, they span 1.80 m;...
A figure-skater finishes her routine with a dramatic spin. Initially, she spins at a rate of 1.3 rev/sec. During this time, the figure skater has her arms stretched out. In each hand, she holds a mass of 2.3 kg at a distance of 0.65m from the center of her body. She then pulls her arms in so that the masses are tucked into the middle of her chest. The moment of inertia of her head-torso-legs remains fixed at 24 kg-m2....
The outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center. When the skater's hands and arms are brought in and wrapped around his body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. His hands and arms have a combined mass of 8.00kg . When outstretched, they span 1.80m ; when wrapped, they form a cylinder of radius...
The outstretched hands and arms of a figure skater preparing for
a spin can be considered a slender rod pivoting about an axis
through its center . When his hands and arms are brought in and
wrapped around his body to execute the spin, the hands and arms can
be considered a thin-walled hollow cylinder. His hands and arms
have a combined mass 9.0 kg. When outstretched, they span 1.7 m;
when wrapped, they form a cylinder of radius 26...
1. An ice skater spins on the ice with her arms positioned tight against her body. In this position, she has a moment of inertia of 1.3 kg m2 and an angular speed of 15 rad/s. If the ice skater then stretches out her arms, and her angular speed slows to 6.0 rad/s, what is her moment of inertia with her arms outstretched? 3.64 kg m2 4.91 kg m2 3.25 kg.m2 4.39 kg m2 6.11 kg m2 А В С...
A skater holds her arms outstretched as she spins at 173 rpm. What is the speed of her hands if they are 146 cm apart?
An ice skater spins, with her arms and one leg outstretched, and achieves an angular velocity of 2 rad/s. when she pulls in her arms, her moment of inertia decreases to 65% its original value. what is her new angular velocity?