**Centripetal force** is a force that makes a body follow a curved path: it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path.

In simple terms, centripetal force is defined as a force which keeps a body moving with a uniform speed along a circular path and is directed along the radius towards the centre.^{}^{} The mathematical description was derived in 1659 by Dutch physicist Christiaan Huygens. Isaac Newton's description was: "A centripetal force is that by which bodies are drawn or impelled, or in any way tend, towards a point as to a centre."

The magnitude of the centripetal force on an object of mass *m* moving at a speed *v* along a path with radius of curvature *r* is:^{}

^{}This force is also sometimes written in terms of the angular velocity

*ω*of the object about the center of the circle:

*T*, the equation becomes:

^{}^{}

__Mass performing vertical circular motion under gravity__

The centripetal force on the mass varies at different positions on the circle.

__Conical pendulum__

Solution of problems involves resolving forces on the mass vertically and horizontally. In this way the speed of the mass, the tension in the string and the period of revolution can be ascertained.

^{}

## 2 comments:

This formula is applicable to the all sports which have circular tracklike cycle racing,motorbike racing.The angle of inclining depends on the velocity and radius.

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