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Matter In Our Surroundings

Question
CBSEENSC9005784

Define the terms angular displacement, angular velocity, time period and frequency in respect of uniform circular motion?

Solution

Angular displacement (θ) is the angle swept by the radius in a given time interval.
Mathematically, it is given by
straight theta left parenthesis rad right parenthesis space equals space Arc over Radius space equals straight s over straight r.

Angular velocity (ω)  is the angle swept out by the radius per unit time is called angular velocity. 
straight omega space equals space fraction numerator Angular space displacement over denominator Time end fraction space equals space straight theta over straight t rad divided by straight s
Time period  is the time taken for one complete revolution is called .
Frequency is the number of revolutions completed per unit time is called frequency (v).
straight omega space equals space fraction numerator 2 straight pi over denominator straight T end fraction space equals space 2 πv