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How does the skater decrease his moment of inertia and increase his angular velocity?
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What happens to the angular velocity of an object as it starts to decrease in size?
Because momentum is conserved, if the size or mass decreases, its inertia decreases so its angular velocity will increase
Why does the coasting rotating system slow down as water drips into the beaker?
Ans : By the formula of moment of inertia , I=mr2 (2=square) As by the formula it is clear that the moment of inertia depends on the mass and the radius of a particular body , so as the mass increases moment of inertia will considerably increase , So as the water drips into the beaker the mass of the beaker will increase By the law of conservation of angular momentum Moment of inertia is inversely proportional to the angular velocity ( omega ) , Since in the above case of coasting rotating system moment of inertia is increased so the angular velocity (omega) will also decrease and hence the coasting rotating system will now rotate slowly as compared to its rotation before dripping water !
What moment of inertia does not depend on angular velocity?
An object that is rotating at constant angular velocity will remain rotating unless it is acted upon by an external torque.
Is angular momentum a vector quantity?
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
The product of an object's rotational inertia and its rotational velocity is?
The object's 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.
What happens to the angular velocity of an object as it starts to decrease in size?
Because momentum is conserved, if the size or mass decreases, its inertia decreases so its angular velocity will increase
How can explain inertia governor?
Centrifugal governors respond to angular velocity. Inertia governors respond to angular acceleration.
Why does the coasting rotating system slow down as water drips into the beaker?
Ans : By the formula of moment of inertia , I=mr2 (2=square) As by the formula it is clear that the moment of inertia depends on the mass and the radius of a particular body , so as the mass increases moment of inertia will considerably increase , So as the water drips into the beaker the mass of the beaker will increase By the law of conservation of angular momentum Moment of inertia is inversely proportional to the angular velocity ( omega ) , Since in the above case of coasting rotating system moment of inertia is increased so the angular velocity (omega) will also decrease and hence the coasting rotating system will now rotate slowly as compared to its rotation before dripping water !
What moment of inertia does not depend on angular velocity?
An object that is rotating at constant angular velocity will remain rotating unless it is acted upon by an external torque.
Is angular momentum a vector quantity?
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
The product of an object's rotational inertia and its rotational velocity is?
The object's angular momentum
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.
Is angular momentum always parallel to angular acceleration?
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
Does the moment of inertia give an object's resistance to changes in angular velocity?
Moment of inertia is a property of a rotating body that defines its resistanceto a change in angular velocity about an axis of rotation.===========================By carefully reading and analyzing the treatment above, we arelead to infer that the actual answer to the question is 'yes'.
What is inertia in a 3 Phase motor?
A motor when running has inertia in the rotating parts, which is a reserve of kinetic energy. The kinetic energy is found as the moment of inertia times the square of the angular velocity.
What is angular momentum?
Angular momentum is an expression of an objects mass and rotational speed. Momentem is the velocity of an object times its mass, or how fast something is moving times how much it weighs. Therefore angular momentum is the objects mass times the angular velocity where angular velocity is how fast something is rotating expressed in terms like revolutions per minute or radians per second or degrees per second.
