A child is pushing a merry-go-round. The angle through which the merry-go-round

Question

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to (t)=t+t3, where = 0.444 rad/s and = 1.50×102rad/s3.

A. Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables , , and t.

B. What is the initial value of the angular velocity?

C. Calculate the instantaneous value of the angular velocity z at t= 5.45 s .

D. Calculate the average angular velocity avz for the time interval t=0 to t= 5.45 s .

Explanation / Answer

A. angular velocity(w)= d (t) / dt = + 3t2

B. at t=0; w0= = 0.444 rads-1

C. at t=5.45; wz= *(5.45)2 + *(5.45)3 =15.616 rads-1

D.avz = (wz-w0) /t = 2.784

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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