Derive relation between linear velocity and angular velocity
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θ = x / r
ω = dθ/dt
ω = d(x / r)dt
ω = (1/r) * dx/dt ……[∵ r is constant throughout motion]
ω = v / r ……[∵ dx/dt = v]
Finally, v = r ω
ω = dθ/dt
ω = d(x / r)dt
ω = (1/r) * dx/dt ……[∵ r is constant throughout motion]
ω = v / r ……[∵ dx/dt = v]
Finally, v = r ω
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