Question
Download Solution PDFA wheel turns 420 times around its axle to cover 4.2 km. The diameter of the wheel (in m) will be (correct to two decimal places):
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number of rounds = 420
Total distance = 4.2 km
Formula used:
Circumfrence of circle = 2πr
Total distance = Numbers of rounds × Distance covered in 1 round
Diameter = 2 × Radius
Calculation:
1 km = 1000 m
⇒ 4.2 km = 4.2 × 1000 = 4200 m
According to question
⇒ 4200 = 420 × 2πr
⇒ 2r × 22/7 = 10
⇒ 2r = 3.18 m
∴ Correct answer diameter is 3.18 m
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