A rotating platform turns with a constant angular acceleration 2.00 [rad/s²] A. How much time does it take to reach an angular velocity of 34.0 [rad/s] starting from rest? B. How many revolutions does the platform turn in the time interval answered in A? C. What are the tangential speed and tangential acceleration of a small bug sitting on the platform 20.0 [cm] from the axis of rotation during the end of this interval? D. What is the moment of inertia of the bug if its mass is 15.0 [g]? Hint: Treat the bug as a point particle. E. What is the rotational kinetic energy of the bug?

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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.