A fly wheel rotates at constant speed of 600rpm. The angle described by the shaft in radians in one second is:
Correct answer: B. 20π
- A. 100
- B. 20π
- C. 0
- D. 20
Explanation
To determine the angle described by the shaft in radians in one second, we first need to convert the rotational speed from revolutions per minute (rpm) to radians per second. Since one revolution equals 2π radians, we can calculate:600 rpm = 600 revolutions/minute * (1 minute/60 seconds) * (2π radians/revolution) = 600 * (2π/60) = 20π radians/second.This calculation shows that the correct answer is 20π radians. Option A (100π) suggests an incorrect larger angle, while Option C (0) states no movement, which contradicts the rotating nature of the flywheel. Option D (20) misses the necessary π factor, making it incorrect as well.
This question appeared on the KMU MDCAT 2023 paper, which you can sit online with every answer explained.
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About Angular Displacement
Angular displacement measures the change in a body’s angular position and is expressed in radians or degrees, with anticlockwise and clockwise directions assigned signs. It connects to arc length, angular velocity and angular acceleration, and must be distinguished from ordinary linear displacement in rotational motion.
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