Question

A cyclist completes 3 revolution of a circular path in 9 minutes with the speed of 10 m/s, then what is the radius of circular path?​

Answer 1

Answer:

3 revolution in 9 minutes

there fore 1 revolution in 9/3. = 3 minutes

speed is 10m/s

distance is= 10 × 180 m

= 1800 m

let r be the radii

ATQ

2 ×22/7 ×r = 1800

or r = 1800× 1/2 ×7/22

therefore r = 286.4 m

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Answer 2

The radius of the circular path is 286.36 m.

Given,

Complete 3 revolutions in 9 minutes (9x60s = 540s) with a speed of 10 m/s.

To Find,

The radius of the circular path.

Solution,

The total distance in a revolution = 2$\pi$r

The total distance in 3 revolutions = 3 x 2$\pi$r

Using the formula, Speed = Distance/Time

⇒ 10 m/s = (3 x 2$\pi$r) /540

⇒ 10 = (3 x 2 x 22/7 x r)/540

⇒ (10 x 540 x 7)/(3 x 2 x 22) = r

⇒ 3150/11 = r

⇒ 286.36 = r

⇒ r = 286.36 m

Hence, the radius of the circular path is 286.36 m.

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