The angular speed for daily rotation of the earth in rad S-1 is______________?
Correct answer: D. 7.3 x 10^-5 radians/second
- A. 7.3 x 10 radians/second
- B. 7.3 x 5 radians/second
- C. 3.7 x 10 7.3 x 5 radians/second
- D. 7.3 x 10^-5 radians/second
Explanation
Earth completes one rotation, 2π radians, in 24 hours = 86400 s. Thus angular speed = 2π/86400 rad/s = 7.27 x 10^-5 rad/s, approximately 7.3 x 10^-5 rad/s. The likely trap is ignoring the conversion of 24 hours into seconds, which produces an incorrect power of ten.
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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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