What is the Centripetal Force? Before understanding the concept of Centripetal Force, you must learn the concept of circular motion, For example, if a woman is running around a fixed point on a circular track then this woman is in a circular motion.

How to find Centripetal Force with Angular Velocity? |

Similarly, if a
motorbike is moving around a circular track in a circus or in a race then the motorbike is in circular motion
simply remember that if an object or anything moves in a circular track then
the body will be in a circular motion.

Now let us consider that

That mass M is
attached to a string and the string is tied to a fixed-point O, let the mass M
move in a circular path so it’s in a circular motion.

Now if at Point A the
string breaks up then what will happen to the circular motion of the mass M?

From Point A as the
string breaks up the mass M will no longer move in a circular path or motion
rather than this.

The mass M will start
moving in a straight path.

Thus, from this
example, we learned it that if we want to keep a body or a mass in a circular
motion we need strings.

So that the string
must compel the mass M to move in a circular path.

If there is no string
or if the body is no more attached to a string like it in Point A the mass M
will move in a straight line

In physics, we
explain this situation as the string exerts force in each and every point on
the mass M towards the center.

Due to this force,
the mass M is compelled to move in a circular motion onward from Point A the
mass M breaks up from the string or the mass M doesn’t experience any force
towards the center.

Hence the Mass M
moves in a straight path, so if you want a body to move in circular motion we
need to exert force on the body towards the center or we need a center seeking
force,

In physics the center
seeking force is the force that compel the body to move in a circular motion is
known as Centripetal Force.

The supposing force
that is equal and opposite of the centripetal force and drawing a rotating body
or mass

M away from the center of rotation that is
caused by the inertia of the body or the mass M is said to be a Centripetal Force.

The properties of
Centripetal Force

a) It’s always
towards the center

b) It will compel
anybody to move in a circular track or motion

The Centripetal Force
is denoted by the **F _{c}**

So this force of the
string towards the center 0 is **F _{c}** or Centripetal Force.

Formula of
Centripetal Force

**What is Angular
Velocity?**

It measures how fast
or how slow a body is rotating or one can say how much angular displacement a
body covers in per second?

Now for an example:

Let us consider in a
circular motion let a body move from Point A to the Point B and covers a
distance S =100m and time t =5sec on the circumference of a circle.

Let the radius of
this circle r =2m here θ is the angular displacement so as we know the angular
displacement is θ = S / r hence angular displacement is

θ = S / r (θ = 100/
2) = 50radiance

Now if someone asks
how fast or slow the body is rotating?

Then we will look at
the angular velocity of the body which is

Ω is equal to change
in angular displacement ∆θ divided by change in time ∆t

Now we know that the
change in angular displacement ∆θ so the θ = 50 rad/sec

While the body moves
from Point A to the Point B and time is t = 5sec hence,

Ω = ∆θ/∆t so Ω = 50/5
=10 rad/sec

Thus, the body is
moving 10 radiance in per second

Remember that the SI
unit of Angular Velocity is rad/sec or RPM degree/sec

Properties of Angular
Velocity

• Traditionally
Angular Velocity is the velocity in a particular direction

• To know the
direction of angular velocity we should know that the Angle of Velocity depends
on angular displacement which is determined by the Right-hand rule

• To make it easier,
let us say if a body or a mass is moving in a counter-clockwise rotation it
indicates positive Angular Velocity, and if it’s rotating in
counter-anticlockwise it indicates negative Angular Velocity.

• The Angular
Velocity is denoted by Ω or ω.

Formula of Angular Velocity

**Top 3 reasons why to
use calculators?**

We know that students
must develop their calculation skills independently but these days in the
technological era calculators have increasingly become an essential tool in our
daily life, just make sure it’s used in an appropriate way.

For more complex
operations we must try calculators

Calculators save
precious time especially when you are writing in exams

Neutral to failure as
far as you do the right exercise

It gives you the
power to instantly detect the possible errors

Top 3 online
Centripetal Force Calculators

Centripetal Force Calculators by Meracalculator

It’s one of the top
online calculators totally free of cost, no need to subscribe or register, very
simple user interface just goes to the meracalculator it would show you down
few blanks, So Let me show you few steps

How to use it? It
will ask you

1) What do you want
to calculate?

a. Velocity

b. Radius

c. Mass

d. Centripetal Force

2) Type in the Mass
(m) in kgs

3) Radius(r) in
meters

4) Velocity(V) in
meters/sec

5) There you go with
the answer Centripetal Force

Guess what this is
just a tip of the ice in this calculator we can access a number of other
operations related to Health, Finance, Chemistry, Physics, Graphics, Math,
Relationship, Currency, Weather, etc.

Another great example
of online calculators

It has got four
parameters specifying for any two of them determines the value of the other two
as well such as:

• Radius from the
center of rotation

• Angular velocity or
the spin rate

• Tangential velocity
or the rim speed

• Centripetal
acceleration or the gravity level

The best part is it
also shows you the Colored LED in front of each parameter which indicates its
value compares to the comfort zone for artificial gravity.

The user interface is
pretty simple as far as you are looking for only this operation.

This calculator
follows the formula which relates to four parameters

It consists of four
parameters

• What are you
finding for?

• Mass

• Radius

• Speed/angular speed

Finally, it would
show you the Force

By using these
calculators you would get the accurate answers instantly.

Amazing features you got.

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