#### Need Help?

Get in touch with us

# Centrifugal Force and Acceleration- Introduction & Explanation

### Key Concepts

• Centrifugal force

• Acceleration

• Angular acceleration

## Introduction:

In this session we are going to study centrifugal force. We are going to differentiate between acceleration in rectilinear motion and uniform circular motion, and derive a relation to calculate the same.

### Centrifugal force:

An outward force on a rotating or revolving body is called a centrifugal force. Centrifugal means “center-fleeing.” Centrifugal force does not pull an object outward. This is a misconception.

Newton’s First Law says that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. It is not due to any real force rather due to inertia. The centrifugal force is not a true force as it is an effect of rotation. It is equal and opposite to the centripetal force

### Acceleration:

It is defined as the rate of change of velocity.

Acceleration =

change in velocityTimechange in velocityTime

Acceleration exists when there is a change in velocity. Velocity is a vector quantity. It has both magnitude as well as direction associated with it.

If u is the initial velocity and v is the final velocity and t is the time taken then the formula is :

a =

v−utv−ut

This formula is used for linear motion, for the uniform circular motion we calculate the angular acceleration.

### Centrifugal Acceleration:

It depends on the radius of the circle and the speed of the object.

It is denoted by “ac” Its unit is “m/s .”

Question 1: Draw the direction of the centrifugal force if the object is released from its orbit at point 1 and 2.

For object 1 it will go in horizontal direction towards the right.

For object 2 it will go vertically down.

Question 2: The speed of a boy of weight 40 Kg in a merry-go-round of radius 20 m is 40 m/s. What is the centrifugal force experienced by the system?

Given that:

Speed of boy = 40 m/s

Radius of merry go round = 20 m

Mass of boy = 40 kg

Using formula,

FC=mv2r𝑭𝑪=𝒎𝒗𝟐𝒓

==

40

(40220)40220 =

40×40×402040×40×4020 = 3200 N

Question 3: What is the centripetal acceleration of an object if it going round in circles with velocity of 20 km/h and comes to rest in 20 s. The radius of the circle is 20 m.

Given that:

Initial velocity,

u = 20 km/h  = 20

×10003600  ×10003600

=

200 m/s36200 m/s36

Final velocity, v = 0 m/s

Time period t = 20 s

aC=v2raC=v2r

=

(20036)2

××

120  =

200 ×20020 ×36 × 36 = 1.54 m/s2

### Summary

• An outward force on a rotation or revolving body is called a Centrifugal force.
• It is pointed outwards.
• Centrifugal force is an inertial force.

Fc = Mv2/R

• Centrifugal acceleration depends upon velocity and radius.

ac=v2/r

#### Define Position Time Graph and its Types

Key Concepts • Slope of a graph • Position time graph • Slope of s-t graph = Velocity • Types of position time graphs Introduction An object in a uniform motion covers equal distances in equal intervals of time. This also indicates that it moves at a constant velocity. When its position at different instants […]

#### Magnetic Field Lines: Definition, Explanation and Q&A

Key Concepts Magnetic Field Magnetic Field Lines properties of magnetic field lines Uniform and non uniform magnetic lines Introduction Two magnets when placed close to each other attract and stick to each other. However, if we go on increasing the distance between them, the attraction between them reduces gradually to such an extent that they […]

#### The Life Cycles of Stars: Meaning and Example

Key Concepts Stars Analysis of starlight Composition of stars Stars’ temperature Size and mass of stars Stages of life cycle of a star Introduction Stars are huge, shining balls of extremely hot gas (known as plasma) in space. The Sun is our nearest star. During the nighttime, many other stars are visible to the naked […]  