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The relation between linear velocity and angular velocity of a body moving in a circle is |
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Answer» SOLUTION :Consider an object moving along a circle of radius r. In a TIME `DELTA t`, the object travels an arc distance `Delta s`as shown in the figure .The corresponding angle subtended is `Delta theta` . In terms of`Delta theta, Delta s`can written as `Delta s = r Delta theta` In a time t , `(Delta s)/(Delta t) = r""(Delta theta)/(Delta t)` In the LIMIT ` Delta t to 0` , the above equation becomes `(ds)/(dt) = ROMEGA"" . . . (1)` Here `(ds)/(dt)`is linear speed (v)that is tangential to the circle and `omega`is angular speed. So equation (1) becomes ` v = r omega` 
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