Question

A wheel of radius 2 m turns through an angel of 57.3°.It lays out a tangential distance.

a) 2m
b) 4m
c) 57.3m
d) 114.6m

Answer 1

If a wheel with a radius of 2 m turns through an angle of 57.3 degrees, then what will be the tangential distance?

Answer

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1 ANSWER



Michael Lovin, B.S. Physics, East Carolina University (1996)

Answered Feb 13, 2018

2m.

The angle of 57.3° is 1 radian. The equation for arc length of a circle subtended by some angle is s = r x Θ where:



Note that Θ MUST be in radians.

Answer 2

Option a) is correct. 2 m

Explanation:

Given the radius of the wheel, r = 2 m.

The angle, $\theta=57.3^0$.

The formula for the arc length which is equal to the tangential distance is given by

$l=r\times\theta$.

Here l is the arc length or tangential distance.

$\theta$ should be in radian.

$=53.3^0\times\frac{\pi}{180}$

= 1 rad.

substitute the given values, we get

$l=2m\times1 rad$

l = 2 m.

Thus, the tangential distance is 2 m.

#Learn More: arc length.

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