A wheel of radius 3 meters on a fixed axis can rotate freely and has a rope wrapped several times around it. The rope is pulled with a velocity v so that the wheel rotates. At a particular instant, v = 4 m/s and is increasing at a rate of 5 m/s2. The angular velocity of this wheel is _________ rad/s. (Round to the nearest hundredth) The angular acceleration is _________ rad/s2(Round to the nearest hundredth)
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 of radius 3 meters on a fixed axis can rotate freely and has a rope wrapped several times around it. The rope is pulled with a velocity v so that the wheel rotates. At a particular instant, v = 4 m/s and is increasing at a rate of 5 m/s2.
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