Question

A wheel makes 12 revolutions per min. The angle in radian described by a spoke of the wheel in

1 s is:
(A) 5π/2 (B) 2π/5
(C) 3π/5 (D) 4π/5

Answer 1

Answer:

(A) 5π/2 is the answer

Please mark as brainlest

Answer 2

Concept:

The wheel travels a distance of 2πr when it completes its one revolution.

Given:

The wheel makes 12 revolutions in a minute.

To Find:

The angle described by the spoke of the wheel in 1 second

Solution:

Ф=$\frac{l}{r}$

Where Ф is the angle subtended by the arc in radian, l is the arc length, and r is the circle's radius.

Distance traveled by the wheel after 12 revolutions in one minute: 12×2πr=24πr

Distance traveled in one sec:$\frac{24r}{60}$π

Using the formula, Ф=$\frac{l}{r}$ where length is the distance traveled,

Ф=$\frac{\frac{24r}{60} }{r}$π

On solving,

Ф=$\frac{2}{5}$π

Hence, the correct option is (b) 2π/5.

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