mine the angular position, angular speed, and angu- lar acceleration of the door (a) at t = 0 and (b) at t = 3.00 s. Section 10.1 Angular Position, Velocity, and Acceleration 3. During a certain time interval, the angular position W of a swinging door is described by 0 = 5.00 + 10.0t + 2.00t2, where 0 is in radians and t is in seconds. Deter-

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A: Let time elapsed before that interval is t   Now, angular speed after t sec  W = 0 + 2.9×t

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A: Complete explanation and final answers is in next step.

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A: Since, angular speed is constant. It would be same in both cases.

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Q: one end of a cord is fixed and a small 0.5 kg object is attached to the other end , where it swings…

A: Solution:   Given Values,   Mass (m)=0.5 Kg Radius (r)=2 m  Speed (v)=8 m/sAngle (θ)=200

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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.