Problem Set A 0.30 – kg object is being whirled vertically using a 1.0 – m rope. Illustration a) What is the linear velocity of the object if the tension on the rope when the object is at the highest point of the circular path is 300 N? c) How many revolutions does it make in 20 s? (with reference to the linear velocity at letter a) b) What is the tension on the rope when the object is at the lowest point of the circular path? (with reference to the linear velocity at letter a) d) How long will it take the object to make 100 revs? (with reference to the linear velocity at letter a) e) What is the minimum velocity that is required so the object will be able to travel in vertical circular path?

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.