Derive the relation between linear velocity and angular velocity
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we have Delta r =R×Delta theta
Taking derivative with respect to time
dr/dt=R×d thetta/dt
dr/dt=V
d theta/dt=omega
therefore
V=R × omega
were . v=linear velocity
omega =angular velocity
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Taking derivative with respect to time
dr/dt=R×d thetta/dt
dr/dt=V
d theta/dt=omega
therefore
V=R × omega
were . v=linear velocity
omega =angular velocity
if you find this helpful make it BRAINLIST
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Answer:
Answer:
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
➡ ♦ v = r × ω ♦ .
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