4. A object is rotating. Use the notation in which the angular coordinate is the

Question

4. A object is rotating. Use the notation in which the angular coordinate is the angular velocity (speed actually) is w, and the angular acceleration is a. At t-0, = radians, and at t 2.0 s, 4 radians. With just this information, what statement can you make? (a) the instantaneous angular speed rad/sec (b) the average angular speed rad/sec (c) the average angular speed w = 0 rad/sec (d) the angular acceleration 0 (e) the average angular acceleration-= T rad/sec2 5. Let's keep talking about the rotating object in the previous problem. You get some additional data. The angular displacement of the rotator is measured to be = 7.5 radians at t 4.0 s, and = 14.5 radians at t 8.0 s. What statement or statements can you make now? (a) the instantaneous angular speed rad/sec (b) the average angular speed rad/sec (c) the average angular speed 0 rad/sec (d) the angular acceleration 0 (e) the average angular acceleration rad/sec2

Explanation / Answer

4)

average angular speed is w = (change in angular displacement ) / time taken = [(4*pi)-(pi/2)]/2 = 7*pi/4

so correct statement is b)

5) average angular speed is w = (change in angular displacement ) / time taken = [(14.5*pi)-(7.5*pi)]/(8-4) = 7*pi/4

so correct answer is b)

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