A particle describes a circular path of diameter 20m every 2s, the average angular speed of the particle during 4s is :
Correct answer: D. π rad s
- A. 20/π rad s
- B. 10/π rad s
- C. 5/π rad s
- D. π rad s
Explanation
The particle completes one full revolution (360 degrees or 2π radians) every 2 seconds, resulting in an angular speed of π radians per second. The average angular speed over the 2-second interval is calculated by dividing the total angular displacement (2π radians) by the total time (2 seconds), resulting in an average angular speed of π radians per second. ω = angle described / time taken = 2π / 2 = π rad/sTherefore, option D is correct. Options A, B, and C are incorrect as they provide angular speed values that do not match the calculated average angular speed based on the given data.
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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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