Question 34
Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?
Solution
Speed of cyclist = 16.5 km/hr , => In 60 minutes he covers = 16.5 km
=> In 45 minutes he covers = $$\frac{16.5}{60}\times45=12.375$$ km = $$1237500$$ cm
Radius of cycle = $$\frac{21}{2}$$ cm
Distance covered in 1 revolution = $$2\pi r$$
= $$2\times\frac{22}{7}\times\frac{21}{2}=66$$ cm
$$\therefore$$ Number of revolutions made by the wheel in the journey = $$\frac{1237500}{66}=18750$$
=> Ans - (B)
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