Determine the Unit and Dimension of Centripetal Force

Determine the Unit and Dimension of Centripetal Force is a very important topic of physics especially for Class 11 and competitive examinations like NEB, CEE, JEE, and others. Here you will learn definition, dimensional formula, and units in a very simple way.

What is Centripetal Force?

Centripetal force is the force that keeps an object moving along a circular path. Without this force, the object would move in a straight line due to inertia. It always acts towards the centre of the circular path.

Formula of Centripetal Force

The standard formula of centripetal force is given by:

F = mv²/r

SI Unit of Centripetal Force

The SI unit of centripetal force is Newton (N).

Explanation

Newton is the unit of force. Since centripetal force is basically a type of force, therefore its SI unit becomes Newton.

Dimensional Formula of Centripetal Force

Force = mass × acceleration

Therefore dimension = ML/T²

So the dimensional formula of centripetal force = M L T⁻²

Important Concept

The direction of centripetal force is always towards the centre. It is not a separate force but can be tension, friction, or gravitational force that acts as centripetal force depending on the situation.

Real Life Examples

• A stone tied in a rope and rotated
• Car moving on a circular track
• Earth revolving around Sun

Conclusion

Finally we can say that centripetal force plays an important role in circular motion. Its unit is Newton and its dimension is M L T⁻². This topic is very important for school exams and entrance exams.

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