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Mensuration: Areas and Volumes · Question 26 of 68

Question 26

HardOriginal question

A car's wheel has a diameter of 70 cm. How many revolutions does each wheel make per minute when the car moves at 66 km/h? Take π=227\pi = \frac{22}{7}.

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. One revolution = circumference = 227×70=220\frac{22}{7} \times 70 = 220 cm.

  2. 66 km/h=66,00,000h = 66{,}00{,}000 cm per hour = 1,10,000 cm per minute.

  3. Revolutions per minute = 1,10,000÷220=5001{,}10{,}000 \div 220 = 500.

Worth noting

1,000 uses πr=110\pi r = 110 cm per turn, 250 takes 70 cm as the radius (440 cm per turn), and 30,000 is revolutions per HOUR.

Concept
Revolutions = distance ÷ circumference, with unit conversion
Typical time
115 s
Your time
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The rule this testsCircles, rings and sectors
Practise this chapter →

Ten questions from Mensuration: Areas and Volumes, at your own pace.

Practise this chapter →

Ten questions from Mensuration: Areas and Volumes, at your own pace.