The angular speed in radian/hour for the daily rotation of our earth is?
Correct answer: A. π/12 radian/hour
- A. π/12 radian/hour
- B. 12π radian/hour
- C. 24π radian/hour
- D. π/24 radian/hour
Explanation
The correct answer is π/12 radian/hour. To find the angular speed in radians, we recognize that one full rotation (2π radians) occurs in 24 hours. Thus, the angular speed can be calculated as:Angular speed = Total radians per rotation / Time in hours = 2π / 24 = π/12 radian/hour.
This question appeared on the KMU MDCAT 2023 paper, which you can sit online with every answer explained.
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About Angular Velocity
Angular velocity describes how quickly angular displacement changes with time, with ω = Δθ/Δt and units of radians per second. Questions relate angular and linear motion through v = rω, use the direction given by the right hand rule, and distinguish angular velocity from angular acceleration and ordinary frequency.
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