CENTRIPETAL AND CENTRIFUGAL FORCE

CIRCULAR MOTION

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CIRCULAR MOTION

When an object moves along a circular path with uniform speed,its motion is called uniform circular motion.
Circular motion is accelerated even if the speed of the body is constant.The motion of a satellite is accelerated motion.

ANGULAR VELOCITY

It is the rate at which angle swept by the radius at the centre changes with time.Its unit is rad/s.
Angular velocity, ω=θ/t
S=u×t
And                ω=θ/t,θ=s/r
So,                  u=ω×r
As                   u=linear speed,
ω=angular velocity,
r=radius of the circular path,
Thus, linear speed = angular velocity × radius of circular path.

CENTRIPETAL FORCE

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CENTRIPETAL FORCE,CENTRIFUGAL FORCE

A body performing circular motion is acted upon by a force which is always directed towards the centre of the circle.This is called “Centripetal force”.
If a body of mass m is moving on a circular path of radius R with uniform speed u then the required centripetal force, F = mu2/R.
Centripetal force can be mechanical, electrical or magnetic force.

CENTRIFUGAL FORCE

In applying the Newton’s law of motion we have to consider some forces which cannot be assigned to any object in the surrounding. These forces are called pseudo force.
Centrifugal force is such a pseudo force.It is equal and opposite to centripetal force.
Cream separator, centrifugal drier work on the principle of centrifugal force.

FORCE

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FORCE

It is a push or pull which produces or tends to produce a change in uniform motion of body;stops or tends to stop a body which is in motion.Its unit is newton.
It is a vector quantity and the straight line along which a force is directed is called the line of action of the force.
The rotational effect of a force on a body about an axis of rotation is described in terms of moment of force.

INERTIA 

The property of bodies by virtue of which they oppose only change in their present state is called inertia.
Mass is a measure of the inertia of a body.

MOMENT OF INERTIA 

The property of a body by virtue of which it opposes any change in its state of rotation about an axis is called the moment of inertia of the body about that axis.
Moment of inertia of a circular lamina passing through the CG and perpendicular to the plane.

l = MR2

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