A particle moves by 1cm in 1sec in a path of radius 10 can. It's angular speed would be?
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|The particle moves one centimeter per second. The circle has circumference 2*10*Pi = 20 *Pi centimeters, so the particle covers 1/(20*Pi) of the circumference per second. Since the circumference corresponds to 2*Pi radians, this makes the angular speed of the particle (2*Pi)/(20*Pi), which is equal to 0.1 radians per second. Hope that helps!
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