Exercise 9.8 Part A A wheel is rotating about an axis that is in the z-direction

Question

Exercise 9.8 Part A A wheel is rotating about an axis that is in the z-direction. The angular velocity a, is-6.00 rad/s at t = 0. increases linearly with time, and is +4.00 rad/s at Is the angular acceleration during this time interval positive or negative? t = 12.0 s . We have taken counterclockwise rotation to be positive. positive negative Submit My Answers Give Up Part B How long is the time interval during which the speed of the wheel is increasing? Express your answer with the appropriate units. t-Value Units Submit My Answers Give Up

Explanation / Answer

Here ,

part A)

during this time , the angular acceleration is positive

part b)

angular acceleration ,a = (4 - (-6))/12

a = 0.833 rad/s^2

Now, for time for which angular speed is increaseing

t1 = 4/0.833 s

t1 = 4.8 s

the time taken is 4.8 s

part C)

t2 = 6/0.833

t2 = 7.202 s

the time duration is 7.202 s

part D)

angular displacement = -6 * 12 + 0.5 * 0.833 * 12^2

angular displacement = -12 radian

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