obatin the relation between linear velocity and angular velocity in u.c.m.
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Thus, for a given angular velocity ω, the linear velocity v of the particle is directly proportional to the distance ofthe particle from the centre of the circular path (i.e) for a body in auniform circular motion, the angular velocity is the same for all points in the body but linear velocity is different for ...
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Heya.....!!!
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Given in the question :-
( v ) => Linear Velocity .
( ω ) => Angular Velocity .
There is a realtion between linear displacement and angular displacement .
let angular displacement be ( x )
Angle which is moved by particle ( θ )
radius ( r )
=> θ = x / r
=> x = r θ .............( i )
in this equation ( i ) divide both side by ( t ) time
=> x / t = rθ/t
=> x / t. = v ,, θ/t. = ω
v = rω
Hence the realtion between angular velocity and linear velocity is
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