SOLUTION: A particle is moving around in a circle of radius R = 1.5 m with a constant speed of 2 m/s. What is the centripetal acceleration and angular velocity of the particle?

Centripetal acceleration  a =  =  = 2.666... m/s^2.



Angular velocity =  radians per second,  where "n" is the number of rotations per second,


which is  n = .


In the last formula, the "2" in the numerator is the given speed, and the denominator is the circumference of the circle.


So,  n =  = 0.2123 rotations per second,  and therefore angular velocity of the particle is


     = 2*3.14*0.2123 = 1.333 radians per second.