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Q28 (CISF/2023) Science & Technology › Basic Science (Physics, Chemistry, Biology)

The wheel of a car covers a distance of 44 km in 5000 revolutions. The radius of the wheel is :

Explanation

To find the radius (r), we use the formula: Total Distance = Number of Revolutions × Circumference.

1. Convert distance to centimeters: 44 km = 44,000 m = 4,400,000 cm.
2. Calculate the distance covered in one revolution (Circumference):
Circumference = Total Distance / Number of Revolutions = 4,400,000 / 5,000 = 880 cm.
3. Use the circumference formula (2Ï€r):
2 × (22/7) × r = 880
(44/7) × r = 880
r = (880 × 7) / 44
r = 20 × 7 = 140 cm.

Note: The calculated value is 140 cm. However, in standard versions of this problem (where distance is 4.4 km or revolutions are 50,000), the answer is 14 cm. Given the provided options, Option A is the intended correct choice despite the likely typo in the question's numerical values.

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