A mass of 6kg is whirled round a circle of radius 50cm. If the body was found to have a linear speed of 3m/s, calculate(a) The Angular Velocity (b) The number of Revolutions it makes in 20 seconds.

the period for one revolution is 100π cm / 300 cm/s = 1/3 s

so the frequency is 3 Hz
(a) ω = 2πf
(b) 20s * 3rev/s = 60 rev

Did you know?

Did you know that in physics, angular velocity refers to the rate at which an object rotates or revolves around a central point? In this particular scenario, if a mass of 6kg is whirled around a circle with a radius of 50cm, and the body has a linear speed of 3m/s, we can determine its angular velocity. To calculate it, we take the linear speed and divide it by the radius of the circle. After performing this calculation, we find that the angular velocity is 0.06 rad/s. Additionally, we can also determine the number of revolutions the body makes in a given time. In this case, if we're given a duration of 20 seconds, we can find the number of revolutions by dividing the time by the period of one revolution. With a little further calculation, we can determine that the body makes approximately 19 revolutions in 20 seconds. Understanding concepts like angular velocity and revolutions can help us analyze and comprehend the motion of objects in circular paths.