If two objects move in a circular path of radii in ratio of 1:3 and takes same time to complete the circle. What is the ratio of their speed??
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two objects move in a circular path of radii in the ratio of 1:3 and take same time to complete the circle , what is the ratio of their speed ? Ask for details; Follow ... Therefore,the ratio of the speeds is 1:3. 4.5. 22 votes. 22 votes.
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Let the radius of circular path be r and 3r respectively.
Let the speed of first and second object be v1 and v2 respectively.
The length of the first track = 2πr
Time taken by the first object t = 2πr/v1
The length of the second track = 2π(3r)
= 6πr
Time taken by the second object t = 6πr/v2
Time taken by both object are same
2πr/v1 = 6πr/v2
v1 : v2 = 1 : 3
Hope it helps
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