Miscellaneous

How do you explain the conservation of angular momentum?

How do you explain the conservation of angular momentum?

Conservation of angular momentum is a physical property of a spinning system such that its spin remains constant unless it is acted upon by an external torque; put another way, the speed of rotation is constant as long as net torque is zero.

How do you find the magnitude and direction of angular momentum?

L=Iω. L = I ω . This equation is analogous to the magnitude of the linear momentum p=mv p = m v . The direction of the angular momentum vector is directed along the axis of rotation given by the right-hand rule.

What is the relation between angular momentum and angular impulse of the resultant torque?

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Torque is the rotational equivalent of force and Angular Momentum is the rotational equivalent of Translational Momentum. This can be extended to rotational motion as follows, →τ=d→Ldt . So Torque is the rate of change of Angular Momentum.

What is the magnitude of angular momentum?

The magnitude of the angular momentum of an orbiting object is equal to its linear momentum (product of its mass m and linear velocity v) times the perpendicular distance r from the centre of rotation to a line drawn in the direction of its instantaneous motion and passing through the object’s centre of gravity, or …

Does momentum have direction and magnitude?

momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

When can you use conservation of angular momentum?

Angular momentum is conserved when net external torque is zero, just as linear momentum is conserved when the net external force is zero.

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What is the magnitude of angular acceleration?

The magnitude of angular acceleration is α and its most common units are rad/s2. The direction of angular acceleration along a fixed axis is denoted by a + or a – sign, just as the direction of linear acceleration in one dimension is denoted by a + or a – sign.

Which represents the proportionality relation of orbital angular momentum and angular momentum?

This option is correct. Angular momentum is the product of moment of inertia and angular velocity. Therefore, it is clear that angular momentum will be directly proportional to the moment of inertia of the object.

Is angular momentum conserved in an elastic collision?

Angular momentum is therefore conserved in the collision. Kinetic energy is not conserved, because the collision is inelastic.

What is meant by momentum and conservation of momentum?

conservation of momentum, general law of physics according to which the quantity called momentum that characterizes motion never changes in an isolated collection of objects; that is, the total momentum of a system remains constant. Before launch, the total momentum of a rocket and its fuel is zero.

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How do you find the magnitude of momentum?

If inelastic, then the total amount of system momentum before the collision (and after) can be determined by using the Pythagorean theorem. Since the two colliding objects travel together in the same direction after the collision, the total momentum is simply the total mass of the objects multiplied by their velocity.