A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?

41/5 radians

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70/8 radians

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80/7 radians

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40/3 radians

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Solution

The correct option is C
80/7 radians

The distance traveled in 1 hour= 14.4 km/hr = 1440000 cm/hr =1440000/3600 cm /sec

= 400 cm in 1 sec

the formula for the length of the arc, when the angle in radians and radius are given is

I = rθ
using this formula and the given values

θ = 400/35 = 80/7 radians

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