Question

5ko is moving in a circle of radius 1m with an angular velocity of 2 radls. What
10. A body of mass 5kg is moving in a circle of radi
will be the centripetal force:
(b) 20N
(a) 10N
(d) 40N
(C) 30N
​

Answer 1

Answer:

Given:

Mass of body = 5 kg

Radius = 2 m

Angular Velocity = 2 rad/s

To find:

Centripetal force experienced by the body

Concept:

Centripetal force is a radially inward directed force experienced during circular (or circular like) motion.

It is also the resultant of all the forces acting on a body.

The word is derived from 2 components

• Centrum = Centre
• Petere = To seek

Calculation:

Mathematically , it can be found as :

$\sf{ \orange{F = \dfrac{m {v}^{2} }{r}}}$

Now converting v (linear Velocity ) into ω ( Angular Velocity)

$\sf{ \implies \: F = \dfrac{m {( \omega r)}^{2} }{r}}$

$\sf{ \implies \: F = m {( \omega )}^{2} }{r}$

$\sf{ \implies \: F = 5 {(2)}^{2} }{1}$

$\sf{ \implies \: F = 20 \:N}$

So final answer is :

$\boxed{ \large{\sf{ \blue{ \: F = 20 \:N}}}}$

Answer 2

Given

• Mass(m)=5kg
• radius (r)=2m
• Angular velocity =2 rad./sec

Formula used:-

Centripetal force =mv²/r

To find out:centripetal force

Solution:

• V=rw

Centripetal force =mv²/r

putting the value

Now,

F=m×(rw)²×r

F =5×(2)

F=5×4

F=20

F=20N

Knowledge enhancer

• Centripetal force: The force which is excreted by a body to keep revolving body in circular path is called centripetal force.