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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?
- a)12325
- b)18750
- c)21000
- d)24350
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to...
Perimeter of tyre can be given as = πD = (22/7) × 21
⇒ Perimeter of tyre = 66 cm = .00066 km
Distance covered by cyclist in 45 minutes or 45/60 hrs can be given as
⇒ 16.5 × (45/60)
⇒ 16.5 × 3/4
Revolution can be given as total distance covered by cycle/perimeter of tyre
⇒ 16.5 × 3/(4 × .00066) = 18750
∴ The total revolutions are 18750
Most Upvoted Answer
Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to...
Calculation of Wheel Revolutions
- First, we need to convert the speed of the cyclist from km/hr to cm/min as the diameter of the wheel is given in cm.
- Speed of the cyclist = 16.5 km/hr = 16.5 x 1000 m / 60 min = 275 m/min
- Circumference of the wheel = π x diameter = π x 21 cm ≈ 65.9736 cm
- Number of revolutions in 1 minute = Distance covered in 1 minute / Circumference of the wheel
- Number of revolutions in 1 minute = 275 cm / 65.9736 cm ≈ 4.167
- Number of revolutions in 45 minutes = 4.167 x 45 ≈ 187.5
Answer
- Therefore, the wheel will make approximately 187.5 revolutions during the journey.
- Hence, the correct answer is option B) 18750.
- First, we need to convert the speed of the cyclist from km/hr to cm/min as the diameter of the wheel is given in cm.
- Speed of the cyclist = 16.5 km/hr = 16.5 x 1000 m / 60 min = 275 m/min
- Circumference of the wheel = π x diameter = π x 21 cm ≈ 65.9736 cm
- Number of revolutions in 1 minute = Distance covered in 1 minute / Circumference of the wheel
- Number of revolutions in 1 minute = 275 cm / 65.9736 cm ≈ 4.167
- Number of revolutions in 45 minutes = 4.167 x 45 ≈ 187.5
Answer
- Therefore, the wheel will make approximately 187.5 revolutions during the journey.
- Hence, the correct answer is option B) 18750.
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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?a)12325b)18750c)21000d)24350Correct answer is option 'B'. Can you explain this answer?
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