The angular speed in radian/hour for daily rotation of the Earth is:
Correct answer: D. π/12
- A. 2π
- B. 4π
- C. π/6
- D. π/12
Explanation
The following is the solution:To calculate the angular speed of the Earth's daily rotation in radians per hour, we need to know the time it takes for the Earth to complete one full rotation.The Earth completes one full rotation in approximately 24 hours. We can use this information to calculate the angular speed:Angular speed (ω) = (Angular displacement) / (Time)The angular displacement for one full rotation is 2π radians (corresponding to 360 degrees).Time = 24 hoursAngular speed:ω = (2π radians) / (24 hours) = π/12
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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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