Science, asked by vijayprakash350539, 9 months ago

what is the relation between linear velocity and angular velocity in a uniform circular motion.​

Answers

Answered by rivakhajuria
2

Thus, for a given angular velocity, the linear velocity v of the particle is directly proportional to the distance of the particle from the centre of the circular path (i.e) for a body in a uniform circular motion, the angular velocity is the same for all points in the body but linear velocity is different for different points of the body.

hope it helps...

Answered by ak126ak
0

Answer:

Explanation:

Consider a particle moving with uniform circular motion in anticlock wise direction with centre O and radius r the particle cover an arc of length △s in time △t moving from A to B.

Hence the angular displacement is

△θ=  

r

△s

​  

 

Dividing both side by △t

△t

△θ

​  

=  

r

1

​  

 

△t

△s

​  

 

In the time interval △t be infinitesimally small (△t→0), then

△t→θ

lim

​  

 

△t

△θ

​  

=  

r

1

​  

[  

△t→θ

lim

​  

 

△t

△s

​  

]

But  

△t→θ

lim

​  

 

△t

△θ

​  

=ω and  

△t→θ

lim

​  

 

△t

△s

​  

=V

∴ω=  

r

V

​  

 

V=rω

In vector form,  

V

=  

ω

×  

r

 

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