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If a boy is running along a circular track of radius $7 m$ , and he completes one orbit in $10 seconds$ , what is the speed of the boy?

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4.396 m / s

5 m / s

6 m / s

4.5 m / s

answer is A.

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Detailed Solution

The speed of the boy is

4.396 m / s

.
Given,
Radius of circular track,

r = 7 m

Time,

t = 10 s

Since the track is circular having radius 7 m, the total distance is given by the circumference of the circle, i.e.,

Total distance = 2 πr

On substituting the values, we get the total distance as

\Rightarrow Total distance = 2 (3.14) (7)

\Rightarrow Total distance = (6.28) (7)

\Rightarrow Total distance = 43.96 m

It is known that

Speed = total distance / time

On substituting the values, we get the speed as

\Rightarrow Speed = 43.96 / 10

\Rightarrow Speed = 4.396 m / s

Hence, the speed is

4.396 m / s

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