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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.
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What happens to the angular velocity of an object as it starts to decrease in size?
The angular velocity of an object typically increases as it decreases in size, due to the conservation of angular momentum. This is because the moment of inertia decreases as the object's size decreases, causing the angular velocity to increase to maintain the same angular momentum.
How do you calculate angular momentum in a rotating system?
Angular momentum in a rotating system is calculated by multiplying the moment of inertia of the object by its angular velocity. The formula for angular momentum is L I, where L is the angular momentum, I is the moment of inertia, and is the angular velocity.
How can one determine the angular momentum of a rotating object and what is the process for finding angular momentum?
To determine the angular momentum of a rotating object, you multiply the object's moment of inertia by its angular velocity. The moment of inertia is a measure of how mass is distributed around the axis of rotation, and the angular velocity is the rate at which the object is rotating. The formula for angular momentum is L I, where L is the angular momentum, I is the moment of inertia, and is the angular velocity.
What quanties are needed to calculate angular momentum?
To calculate angular momentum, you need the object's moment of inertia, its angular velocity, and the axis of rotation. The formula for angular momentum is given by L = I * ω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
If a net torque is applied to an object that object will experience which of the following a constant angular speed angular acceleration or an increasing moment of inertia?
If a net torque is applied to an object, it will experience angular acceleration. This is because torque causes rotation and leads to a change in angular velocity. The object's angular speed will increase or decrease depending on the direction of the net torque applied.
What happens to the angular velocity of an object as it starts to decrease in size?
The angular velocity of an object typically increases as it decreases in size, due to the conservation of angular momentum. This is because the moment of inertia decreases as the object's size decreases, causing the angular velocity to increase to maintain the same angular momentum.
Why moment of inertia is also called rotational inertia?
Because it is a measure of the "resistence" of an object to be accelerated in its rotation. An object with a big moment of inertia is more difficult to increase/decrease its angular velocity (speed of rotation), than an object with a low moment of inertia.
How do you calculate angular momentum in a rotating system?
Angular momentum in a rotating system is calculated by multiplying the moment of inertia of the object by its angular velocity. The formula for angular momentum is L I, where L is the angular momentum, I is the moment of inertia, and is the angular velocity.
How can one determine the angular momentum of a rotating object and what is the process for finding angular momentum?
To determine the angular momentum of a rotating object, you multiply the object's moment of inertia by its angular velocity. The moment of inertia is a measure of how mass is distributed around the axis of rotation, and the angular velocity is the rate at which the object is rotating. The formula for angular momentum is L I, where L is the angular momentum, I is the moment of inertia, and is the angular velocity.
What quanties are needed to calculate angular momentum?
To calculate angular momentum, you need the object's moment of inertia, its angular velocity, and the axis of rotation. The formula for angular momentum is given by L = I * ω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
If a net torque is applied to an object that object will experience which of the following a constant angular speed angular acceleration or an increasing moment of inertia?
If a net torque is applied to an object, it will experience angular acceleration. This is because torque causes rotation and leads to a change in angular velocity. The object's angular speed will increase or decrease depending on the direction of the net torque applied.
What moment of inertia does not depend on angular velocity?
The moment of inertia of an object does not depend on its angular velocity. Moment of inertia is a measure of an object's resistance to changes in its rotational motion, based on its mass distribution around the axis of rotation. Angular velocity, on the other hand, describes how fast an object is rotating and is not a factor in determining the moment of inertia.
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
Why does the coasting rotating system slow down as water drips into the beaker?
As water drips into the beaker, it increases the rotational inertia of the system, leading to a conservation of angular momentum, which causes the system to slow down due to the increase in mass. The added water also increases frictional forces between the water and the system, further contributing to the slowdown.
When a spinning skater pulls in her arms to turn fasterher angular momentum?
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.
What is ment by angular momentum and angular velocity?
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
How would a spinning disk and kinetic energy change if its moment of inertia were five times larger but its angular speed were five times smaller?
If the moment of inertia is five times larger while the angular speed is five times smaller, then the kinetic energy of the spinning disk would decrease. This is because kinetic energy is directly proportional to both the moment of inertia and the square of the angular speed. The decrease in angular speed would have a greater impact on reducing the kinetic energy compared to the increase in moment of inertia.
