An electric motor rotating a workshop grinding wheel at 1.13 x 102 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 1.93 rad/s². (a) How long does it take the grinding wheel to stop? (b) Through how many radians has the wheel turned during the time interval found in part (a)? Part 1 of 5 - Conceptualize We estimate several seconds for the time it takes the wheel to stop. We estimate many radians for the angular displacement. Part 2 of 5 - Categorize We use the rigid body under constant angular acceleration model. We will use one of the four equations about motion with constant angular acceleration to solve for time and angular displacement. Part 3 of 5 - Analyze We are given the angular acceleration a = 1.93 of rev/min to rad/s2. The conversion is as follows. rev min @₁ = Your response differs from the correct answer by more than 100%. = 113 6.1295 rad/s². The final angular speed is given by @= 0. In order to find the initial angular speed ₁, we need to convert from units X rad rev 1 min 60.0 s. 6.12 x Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s

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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.