A wheel is rotating about an axis that is in the z -direction. The angular veloc

Question

A wheel is rotating about an axis that is in the z-direction. The angular velocity ?z is ?6.00rad/s at t=0, increases linearly with time and is +8.00rad/s at t=7.00s. We have taken counterclockwise rotation to be positive.

Part B

Find the duration of the time interval when the speed of the wheel is increasing?

Part C

Find the duration of the time interval when the speed of the wheel is decreasing?

Part A

Is the angular acceleration during this time interval positive or negative?

negative

part D

What is the angular displacement of the wheel at t=7.00s?

Explanation / Answer

Part A

Angular acceleration is positive because alpha = (delta omega)/ delta t = 2 rad/s^s

Part B

0 to 3.7sec

Part C

3.7sec to 8sec

Part D

Plug t=7s into the equation ?(t) = ?_0 + (?_0)t + (1/2)?t^2 and I got 7.00 rad.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.