If a wheel 1.2 m in diameter rotates at one revolation per second, calculate the velocity of the wheel.

Assessment: JAMB UTME - Physics - 2008 Subject: Physics

Question 1 Report

If a wheel 1.2 m in diameter rotates at one revolation per second, calculate the velocity of the wheel.
Answer Details
To calculate the velocity of the wheel, we need to know the distance it covers in one revolution and the time taken to complete one revolution. Since the diameter of the wheel is given as 1.2 m, its radius is 0.6 m (half of the diameter). The distance covered in one revolution (circumference) = 2 x π x radius = 2 x π x 0.6 m = 1.2 x π m. The time taken to complete one revolution is given as one second. Hence, the velocity of the wheel = distance/time = (1.2 x π m) / (1 s) ≈ 3.77 ms^-1. Therefore, the answer is 3.77 ms^-1.

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