The rotating blade of a blender turns with constant angular acceleration of 1.43 rad/s?. How much time does it take to reach an angular velocity of 35.4 rad/s, starting from rest? For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Rotation with constant angular acceleretion. Express your answer in seconds. t = 24.8 s Submit Previous Answers v Correct IDENTIFY: Apply the constant angular acceleration equations to the motion. The target variables are t and e – 6n- SET UP: a; = 1.43 rad/s; wo: =0 (starts from rest); wz = 35.4 rad/s; t =? Wz = woz +azt 35.4 rad/s 0 EXECUTE: t = = 24.8 s 1.43 rad/s Part B Through how many revolutions does the blade turn in this time interval? Express your answer in revolutions.

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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.