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Grade 11Mechanics

suppose on a rotating plate two objects placed at different distance from the centre .They are said to have same linear velocity but different angular velocity.why ??????

Profile image of ranu
9 Years agoGrade 11
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1 Answer

Profile image of Shaswata Biswas
9 Years ago
You said just the opposite. On a rotating plate, if two objects are kept at different distances from the centre then they'll have same angular velocity but different linear velocity. This is because the angular velocity is the rate of change in angular displacement, which is same for both the objects.
But for linear velocity we have, v = \omega \times r 
Or simply, v = \omega r
So, the linear velocity of an object is directly proportional to the distance from centre.
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