A toy rocket is constructed using a 2-L bottle, which is attached to a swinging hitch by a solid rod. A bicycle pump is used to pump up the emptied bottle with air to a pressure Po. The empty weight of the bottle is Mo, the length of the connecting rod is R, and the diameter of the bottle top is D = 2 cm. If the bottle top is suddenly opened at time t = 0, derive an equation for the angular speed, ω, of the bottle rocket about the hinge.
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