The average angular acceleration?

Question

If a Ferris wheel starts from rest and accelerates up to an angular velocity of 1 revolution every 10 seconds, what is the average angular acceleration if this acceleration takes 1 minute? How many revolutions does the Ferris wheel undergo in this time?

Answer 1

wf=wi+alpha*t

wf=final angular speed=1*2*pi/10 rad/s
wi=initial ang. speed =0
alpha=average angular acceleration
t=time=1*60 s

Substituting values and solving for alpha, alpha=0.01 rad/s^2

theta=wi*t +0.5*alpha*t^2

Therefore, theta=3*2*pi radians
Number of revolutions=theta/(2*pi)= 3

Answer 2

uncomplicated angular speed ? = 17 rad/s Angular displacement in the time of battling time ? = 5.9 rad battling time is t = 2?/ ? = 2*(5.9 rad)/(17 rad/s) = 0.69412 s Angular acceleration (deceleration) is ? = ?/t = (17 rad/s)/( 0.69412 s) = 24.40 9 rad/s² -