The dimensions of angular velocity are:
Correct answer: D. [T-1]
- A. [LT-1]
- B. [LT]
- C. [LT-2]
- D. [T-1]
Explanation
Angular velocity is defined as the rate of change of angular displacement with respect to time. It represents how fast an object is rotating or revolving. Angular displacement is measured in radians, and time is measured in seconds. Therefore, the dimensions of angular velocity are [T^-1], indicating inverse time.
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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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