A body of mass m is moving a circular track of radius r with a tangential velocity V. Write an expression for
*The angular momentum
*The centrifugal force
I omega = m r^2 v/r = m v r
m v^2/r
Mv^2/r
To find the expressions for the angular momentum and centrifugal force of a body moving in a circular track, we need to understand the formulas associated with these quantities.
1. Angular Momentum:
Angular momentum is a vector quantity that depends on the mass of an object, its velocity, and the distance from the axis of rotation. For a body of mass "m" moving in a circular track with radius "r" and tangential velocity "V," the angular momentum "L" is given by the equation:
L = m * r * V
The angular momentum is the product of the mass, radius, and tangential velocity of the body.
2. Centrifugal Force:
The centrifugal force is the apparent force acting outward on a body moving in a circular path. It is directed perpendicular to the velocity vector and points away from the center of the circular track. The magnitude of the centrifugal force, "F_c," can be calculated using the following equation:
F_c = m * V^2 / r
The centrifugal force is proportional to the mass of the body, the square of its velocity, and inversely proportional to the radius of the circular track.
So, the expressions for the angular momentum and centrifugal force of a body moving in a circular track are:
- Angular momentum: L = m * r * V
- Centrifugal force: F_c = m * V^2 / r