The angular speed for the daily rotation of Earth in rad s-1 is?
Correct answer: D. 7.3X 10 -5rad s-1
- A. 2 pie
- B. pie
- C. 4 pie
- D. 7.3X 10 -5rad s-1
Explanation
The angular speed of the daily rotation of the Earth can be calculated by dividing the angle covered in one day by the time taken to cover that angle.The Earth completes one full rotation (360 degrees or 2π radians) in approximately 24 hours (86,400 seconds).Angular speed = Angle covered / Time takenAngle covered = 2π radians Time taken = 24 hours = 24 * 60 * 60 seconds = 86,400 secondsAngular speed = 2π radians / 86,400 seconds ≈ 7.27 x 10^(-5) radians per second (rounded to five decimal places)Therefore, the angular speed of the daily rotation of the Earth is approximately 7.27 x 10^(-5) radians per second.As this is a numerical thus only one option is correct.
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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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