The tyres on a bicycle have a diameter of 24 inches. If the tyres are turning at a rate of 50 revolutions per minute, determine the bicycle's speed in miles per hour (mph).
Correct answer: D. 3.6
- A. 3.1
- B. 6.3
- C. 3.9
- D. 3.6
Explanation
Given that, diameter 24 inches. Hence the radius 24/2 = 12 inches. 1 revolution = 2πr = 2(π)(12) = 24π. If one revolution covers 24 inches then 50 revolutions cover 1250π inches. 1-24π. 50-x. x = 50x24π. x = 1250π. x = 3927. 50 revolution/minute = 3926.9 inches/minute. 1 Mile has 63,360 inches. 1 inch will have 1/63360miles. 1 hour has 60 minutes. 1 minute has 1/60 hour. Converting 3926.9 in/min into miles/hour will give 3.6 miles/hour. The bicycle is travelling at "3.6 mi/h".
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