# Centripetal Acceleration Formula

## Centripetal Acceleration Formula

The Centripetal Acceleration Formula is needed to calculate centripetal acceleration. A force that causes a body to follow a curved path is known as a centripetal force. It always moves in a direction that is the opposite of the body’s motion and in the direction of the instantaneous centre of curvature of the path. It is “a force by which bodies are drawn or impelled, or in any other way tend, towards a point as to a centre,” according to Isaac Newton. Gravity is the centripetal force that drives astronomical orbits according to Newtonian mechanics. A common illustration of centripetal force is when a body moves uniformly fast in a circular motion. The centripetal force is directed towards the centre of the circular path, both along the radius and at right angles to the motion. The tension of the rope provides the centripetal force on an object that is swinging around on the end of a rope in a horizontal plane. The rope illustration is a pull-related example. In some situations, such as when a wall’s natural reaction serves as the centripetal force for a wall of death or a Rotor rider, the centripetal force can also be provided as a “push” force. What is now referred to as a central force is equivalent to Newton’s concept of a centripetal force.

A body that is rotating in a circle (with radius r) at a constant speed (v) is constantly being continuously accelerated. As a result, the acceleration is perpendicular to the motion’s direction. It has a magnitude of v2/r and is located near the sphere’s centre.

Through the use of symmetry arguments, the acceleration’s direction is determined. The body would leave the plane of the circle if it indicated the acceleration out of the sphere’s plane. The body would speed up or possibly slow down if the acceleration was pointing left or right or in any other direction besides perpendicular. While working through the exercise questions from the Physics chapters, it is important to pay close attention. While writing answers to a question, students need to pay close attention. Numerous questions call for step-by-step answers. Learning how to provide step-by-step answers to the questions is made easier by using the NCERT solutions. The best Physics teachers have created the NCERT solutions, and they provide clear explanations. All of the exercises in a chapter are very significant because questions may come from them in the examination.

## Centripetal Acceleration Formula and Derivation

Centripetal acceleration is a property of a moving body travelling along a circular path. The circular path’s centre receives this acceleration in a radial direction. The square of the body’s speed along the curve divided by the separation between the moving body and the circle’s centre gives the magnitude of centripetal acceleration. The force that generates centripetal acceleration, known as centripetal force, is pointed toward the centre of this circular path.

When an object travels in a circle, its trajectory changes at every intersection. Even if an object is moving at a constant speed in an arc or circle, it may experience centripetal acceleration.

Students are supposed to learn the Centripetal Acceleration Formula. The Centripetal Acceleration Formula is helpful in solving numerical problems. It is crucial for students to focus on the derivation of the Centripetal Acceleration Formula. All the topics given in the chapter need to be revised again and again.

## Solved Examples

Exercise questions are solved using the Centripetal Acceleration Formula. Students will learn how to correctly apply the Centripetal Acceleration Formula if they regularly practice questions. The Centripetal Acceleration Formula needs to be reviewed by students on a regular basis. It is advised that students continue to practice all of the questions related to the Centripetal Acceleration Formula. If students regularly practice questions, it will help them to remember the Centripetal Acceleration Formula for a long time. On the Extramarks website and Learning App, students can download the Centripetal Acceleration Formula NCERT solutions to their questions in PDF format.