In Figure P7.4 the piston of area A is connected to the
Chapter , Problem 7.4(choose chapter or problem)
In Figure P7.4 the piston of area A is connected to the axle of the cylinder of radius R, mass m, and inertia I about its center. Given \(p_{1}-p_{2}=3 \times 10^{5} \mathrm{~Pa}\), \(A=0.005 \mathrm{~m}^{2}\), R = 0.4 m, m = 100 kg, and \(I=7 \mathrm{~kg} \cdot \mathrm{m}^{2}\), determine the angular velocity \(\omega(t)\) of the cylinder assuming that it starts from rest.
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