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Proportional.For linear movement, Newton's Second Law states that force = mass x acceleration.The equivalent for rotational movement is: torque = (moment of inertia) x (angular acceleration).Proportional.For linear movement, Newton's Second Law states that force = mass x acceleration.The equivalent for rotational movement is: torque = (moment of inertia) x (angular acceleration).Proportional.For linear movement, Newton's Second Law states that force = mass x acceleration.The equivalent for rotational movement is: torque = (moment of inertia) x (angular acceleration).Proportional.For linear movement, Newton's Second Law states that force = mass x acceleration.The equivalent for rotational movement is: torque = (moment of inertia) x (angular acceleration).
A rotating body that spins about an external or internal axis (either fixed or unfixed) increase the moment of inertia.
the moment of inertia of a solid cylinder about an axis passing through its COM and parallel to its length is mr2/2 where r is the radius.
mass moment of inertia for a solid sphere: I = (2 /5) * mass * radius2 (mass in kg, radius in metres)
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An object that is rotating at constant angular velocity will remain rotating unless it is acted upon by an external torque.
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'.
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.
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.
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
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 !
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.
Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity) mr2 is nothing but the moment of inertia of the moving body about the axis of rotation. Hence L = I w.
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.
It depends upon the velocity with which the object is travelling.... Higher the velocity, higher will be the moment of inertia.....
angular acceleration
moment of inertia is the rotational equivalent of mass. it is given by I= Mk2 moment of inertia in rotational motion play the same role as mass in linear motion, that is in linear motion f = ma while in rotation, torque= I*Angular acceleration where I is the moment of inertia