If an athlete takes t seconds to go once around a circular path of radius r, the velocity v is given by:
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Question- If an athlete takes t seconds to go once around a circular path of radius r, the velocity v is given by a) 2πr b) π/t c) 2πr/t d) None of these.
The velocity is 2πr/t. (Option c)
Given:
Radius=r
Time=t
To find:
The velocity
Solution:
We can obtain the required velocity by dividing the distance covered by the athlete by the time taken by him.
The distance covered=The circumference of the circular path
=2×π×radius
=2πr
Now, the required velocity=Distance covered/ time taken
Using values,
v=2πr/t
Therefore, the required velocity is 2πr/t.
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