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CBSE Class 9 Answered

Definition of angular velocity with example and with diagram
Asked by md775016 | 04 Mar, 2018, 05:09: PM
answered-by-expert Expert Answer
As shown in figure, let a particle moves in a circular motion. Let at time t1 the angular position be φ1 and later at tme t2 the angular position is φ2. The angular displacement Δφ = φ2 - φ1 during the time interval t- t1.
We define the average angular velocity ωav of paticle in this time interval as

begin mathsize 12px style omega subscript a v end subscript equals space fraction numerator phi subscript 2 minus phi subscript 1 over denominator t subscript 2 minus t subscript 1 end fraction space equals space fraction numerator capital delta phi over denominator capital delta t end fraction end style
The instantaneous angular velocity ω is the limit approached by this ratio as Δt approaches zero :
 
begin mathsize 12px style omega space equals space limit as capital delta t rightwards arrow 0 of space fraction numerator capital delta phi over denominator capital delta t end fraction space equals space fraction numerator d phi over denominator d t end fraction end style
Answered by Thiyagarajan K | 05 Mar, 2018, 04:54: PM
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