By keeping moment of inertia of a body constant?Asked by: Haven Ratke
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By keeping moment of inertia of a body constant, if we double the time period, then angular momentum of body. Thus, on doubling the time period, angular momentum of body becomes half.View full answer
Also Know, What is moment of inertia of a body is it constant for a body?
The total moment of inertia is the sum of the moments of inertia of the mass elements in the body. Unlike mass, which is a constant for a given body, the moment of inertia depends on the location of the center of rotation. In general, the moment of inertia is calculated by using integral calculus.
Just so, What will be a body angular momentum if the time period is doubled and its moment of inertia is kept constant?. Moment of Inertia is Constant, Time Period is Doubled, What Happens to Angular Momentum of the Body. Given that the moment of inertia is constant and the time period is doubled. Therefore, when the time period is doubled by keeping the moment of inertia constant, the angular momentum becomes half.
Simply so, What is meant by moment of inertia of a body?
Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force). The axis may be internal or external and may or may not be fixed.
How is the angular momentum related to time period?
With a bit of a simplification, angular momentum (L) is defined as the distance of the object from a rotation axis multiplied by the linear momentum: L = r*p or L = mvr. w = 2*pi / Trot, where T is the period of rotation of the sphere.
Just as linear momentum is conserved when there is no net external forces, angular momentum is constant or conserved when the net torque is zero.
Rotational inertia is calculated for objects rotating about an axis. Rotational Inertia = m(r)(r), where "m" is the mass and "r" is the radius or the distance between the object and the axis. Calculate the rotational inertia for a solid cylinder or disk of radius "r" and mass "m" by the formula, inertia =1/2(m)(r)(r).
The moment of inertia of an object is a calculated measure for a rigid body that is undergoing rotational motion around a fixed axis: that is to say, it measures how difficult it would be to change an object's current rotational speed.
Moment of inertia is a calculation of the required force to rotate an object. ... By increasing the radius from the axis of rotation, the moment of inertia increases thus slowing down the speed of rotation.
"The word moment was first used in Mechanics in its now rather old-fashioned sense of 'importance' or 'consequence' and the moment of a force about an axis meant the importance of the force with respect to its power to generate in matter rotation about the axis; and again, the moment of inertia of a body with respect ...
From the given options we can say that the moment of inertia of a body is independent of the angular velocity of the body. Because we know that the moment of inertia of a body is the product of the mass of the body and the square of the distance of the body from the axis.
Angular momentum and angular velocity have both magnitude and direction and, therefore, are vector quantities.
The moment of inertia of a body is directly proportional to its mass and the distance of the particles of the body from the axis of rotation. Hence, the moment of inertia depends on mass and distance from the rotating axis, and force and density do not affect the moment of inertia of a body.
It appears in the relationships for the dynamics of rotational motion. The moment of inertia must be specified with respect to a chosen axis of rotation. For a point mass, the moment of inertia is just the mass times the square of perpendicular distance to the rotation axis, I = mr2.
Inertia is the measure of the mass of the body. The greater is the mass of the body; the greater is its inertia and vice-versa. (a) The mass of a stone is more than the mass of a rubber ball for the same size. Hence, the inertia of the stone is greater than that of a rubber ball.
The moment of inertia of a rotating flywheel is used in a machine to resist variations in applied torque to smooth its rotational output.
Higher moments of inertia indicate that more force has to be applied in order to cause a rotation whereas lower moments of inertia means that only low forces are necessary. Masses that are further away form the axis of rotation have the greatest moment of inertia.
How much net force is required to keep the object moving at this speed and in this direction? An object in motion will maintain its state of motion. The presence of an unbalanced force changes the velocity of the object. ... Tosh argues that inertia does not depend upon speed, but rather upon mass.
All things being equal, the contribution of a mass element to the total moment of inertia about a given axis increases as the square of its distance from the axis of rotation. Basically, you want to put as much mass as possible as far away from the rotational axis as possible.
In physics, the moment of inertia measures how resistant an object is to changes in its rotational motion about a particular axis.
There are two numerical measures of the inertia of a body: its mass, which governs its resistance to the action of a force, and its moment of inertia about a specified axis, which measures its resistance to the action of a torque about the same axis. See Newton's laws of motion.
It is of Three Types: Inertia of rest: Tendency of a body to remain in the state of rest. Inertia of direction: Tendency of a body to remain in a particular direction. Inertia of motion: Tendency of a body to remain in a state of uniform motion.
Law of inertia, also called Newton's first law, postulate in physics that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Angular and linear momentum are not directly related, however, both are conserved. Angular momentum is a measure of an object's tendency to continue rotating. A rotating object will continue to spin on an axis if it is free from any external torque. Linear momentum is an object's tendency to continue in one direction.
Angular momentum, like energy and linear momentum, is conserved. This universally applicable law is another sign of underlying unity in physical laws. Angular momentum is conserved when net external torque is zero, just as linear momentum is conserved when the net external force is zero.