A rotating door is made from four rectangular glass panes, as shown in the drawi

Question

A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 88 kg. A person pushes on the outer edge of one pane with a force of size 61 N and directed perpendicular to the pane.

a.) Find the rotational inertia of the door.
_____ kg m2

b.) Find the magnitude of the door's angular acceleration.
______ rad/s2

c.) Find the time it would take to rotate the door a half-circle, if it started from rest.
_______ s

A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 88 kg. A person pushes on the outer edge of one pane with a force of size 61 N and directed perpendicular to the pane. a.) Find the rotational inertia of the door. _____ kg m2 b.) Find the magnitude of the door's angular acceleration. ______ rad/s2 c.) Find the time it would take to rotate the door a half-circle, if it started from rest. _______ s

Explanation / Answer

a) 4*(1/3)*88*1.2*1.2 = 168.96

b) 61*1.2 = 168.96*alpha

alpha = 0.433 rad/sec^2

c)

pie = 0.5*0.433*t*t
t = 3.8 sec

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