A wheel starts from rest and accelerates at a constant rate for 17.5 s. After 1.7s the wheel has turned through 3revolutions. (a) What is the angular speed of the wheel after 1.7s? (b) What is the diameter of the wheel if a piece of mud stuck on the outside edge of the wheel has a tangential speed of 0.6m/s when t=1.7 s? (c) What is the magnitude of the total acceleration of the piece of mud when t=1.7 s?
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.
A wheel starts from rest and accelerates at a constant rate for 17.5 s. After 1.7s the wheel has turned through 3revolutions.
(a) What is the angular speed of the wheel after 1.7s?
(b) What is the diameter of the wheel if a piece of mud stuck on the outside edge of the wheel has a tangential speed of 0.6m/s when t=1.7 s?
(c) What is the magnitude of the total acceleration of the piece of mud when t=1.7 s?
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