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When a spinning skater pulls in her arms to turn faster, her angular momentum is conserved. Angular momentum is the product of an object's moment of inertia and its angular velocity. By pulling her arms in, the skater decreases her moment of inertia, causing her angular velocity to increase in order to maintain a constant angular momentum. This is similar to the principle of conservation of angular momentum seen in other rotating systems.
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What is the angular momentum of the ice skater spinning with her arms out and not being acted upon by an external torque?
The angular momentum of the ice skater spinning with her arms out and not being acted upon by an external torque remains constant.
Is angular momentum conserved when a spinning ice skater pulls in their arms?
Yes, angular momentum is conserved when a spinning ice skater pulls in their arms. This is because the skater's rotational speed increases as they bring their arms closer to their body, balancing out the decrease in their moment of inertia.
What is the best example that demonstrates the conservation of angular momentum?
One of the best examples that demonstrates the conservation of angular momentum is the spinning ice skater. When a skater pulls in their arms while spinning, their rotational speed increases due to the conservation of angular momentum. This principle shows that the total angular momentum of a system remains constant unless acted upon by an external torque.
What is the best example for conservation of angular momentum?
In case of Russian dance, the dancer will spin her body about the vertical axis passing through her toe. If she keeps extending her hands then number of rotation and so angular velocity will be less. If she brings her hands close to her body then number of rotations would increase. Same scene could be enjoyed in case of circus with girls hanging just with a tight hold with their teeth.
How does the skater decrease his moment of inertia and increase his angular velocity?
The skater can decrease his moment of inertia by bringing his limbs closer to his body, which decreases the distribution of mass. To increase his angular velocity, the skater can generate more angular momentum by pushing off the ice with greater force, allowing for a faster spin.
What is the angular momentum of the ice skater spinning with her arms out and not being acted upon by an external torque?
The angular momentum of the ice skater spinning with her arms out and not being acted upon by an external torque remains constant.
Is angular momentum conserved when a spinning ice skater pulls in their arms?
Yes, angular momentum is conserved when a spinning ice skater pulls in their arms. This is because the skater's rotational speed increases as they bring their arms closer to their body, balancing out the decrease in their moment of inertia.
What is the best example that demonstrates the conservation of angular momentum?
One of the best examples that demonstrates the conservation of angular momentum is the spinning ice skater. When a skater pulls in their arms while spinning, their rotational speed increases due to the conservation of angular momentum. This principle shows that the total angular momentum of a system remains constant unless acted upon by an external torque.
What is the best example for conservation of angular momentum?
In case of Russian dance, the dancer will spin her body about the vertical axis passing through her toe. If she keeps extending her hands then number of rotation and so angular velocity will be less. If she brings her hands close to her body then number of rotations would increase. Same scene could be enjoyed in case of circus with girls hanging just with a tight hold with their teeth.
How does the skater decrease his moment of inertia and increase his angular velocity?
The skater can decrease his moment of inertia by bringing his limbs closer to his body, which decreases the distribution of mass. To increase his angular velocity, the skater can generate more angular momentum by pushing off the ice with greater force, allowing for a faster spin.
Why does a skater spin faster when she pulls her arms in toward her body?
When a skater pulls her arms in towards her body, she reduces her moment of inertia, which is the resistance to changes in rotation. This causes her to spin faster due to the conservation of angular momentum, which states that angular momentum must remain constant unless acted upon by an external torque. By bringing her arms closer to her body, she decreases her moment of inertia, causing her angular velocity (spin speed) to increase to maintain constant angular momentum.
What happens to the angular speed of a star as it shrinks?
As a star shrinks, its angular speed typically increases due to the conservation of angular momentum. This means that as the star's radius decreases, its rotation rate speeds up in order to conserve the total angular momentum of the system.
Why does a skater angular velocity increase when putting their arms in?
the equation for rotational kinetic energy (KE) is:.KE = 0.5 * I * ((rad / sec)^2), where I is the mass moment of inertia..so if the kinetic energy remains constant, the only thing that can alter the rotation rate (rad / sec), is I, the mass moment of inertia
What happens to the speed of a spinning mass of gas when it contracts?
When a spinning mass of gas contracts, its speed of rotation will increase due to the conservation of angular momentum. This is similar to how a figure skater spins faster when they pull in their arms. As the gas cloud contracts, it spins faster to maintain its momentum.
As a rotating cloud collapses its rate of rotation?
increases due to conservation of angular momentum. As the cloud collapses, it spins faster to conserve angular momentum, just like a figure skater spins faster when they bring their arms closer to their body. This increased rotation can eventually lead the cloud to form a protostar at its center.
If a figure skater is spinning with her arms outstretched why will she spin faster if she brings her arms in?
The answer is related to the conservation of angular momentum. A figure skater will maintain approximately the same angular momentum during their spin (minus a negligible amount due to the friction of their skates and wind resistance). When they move their arms in, they will reduce their rotational inertia by reducing the distance of the mass of her arms and hands from the axis of rotation. In order to maintain the same angular momentum, angular rotation is increased. See the link. Its called the angular conservation of energy. No matter what the skater's position the skater produces a certain amount of energy per second. When his / her hands are extended the distance of the rotation is larger. When he pulls his hands in the weight is unchanged. TO keep the energy at the same amount the difference has to be made up by increasing the number of spins per time unit.
An ice skater has a mass of 65 kg She skates in a large circle What would you need to know to calculate her angular momentum?
To calculate her angular momentum, you would need to know her moment of inertia (which depends on both her mass and how this mass is distributed relative to the axis of rotation), her velocity (speed at which she travels in a circular path), and the radius of the circle she is skating. You would use the formula for angular momentum, which is given by the equation: L = I * ω, where L is angular momentum, I is moment of inertia, and ω is angular velocity.
