A motorized wheel is spinning with a rotational velocity of ω0 = 1.41 rad/s. At t = 0 s, the operator switches the wheel to a higher speed setting. The rotational velocity of the wheel at all subsequent times is given by where c = 1.5574 and b = 6.97 s-2.
w(t)=w0*atan(c+b*t^2)
At what time, tamax, is the rotational acceleration a maximum?
What is the maximum tangential acceleration, at, of a point on the wheel a distance R = 1.17 m from its center?
What is the magnitude of the total acceleration of this point?