Physics

Physics

Problem

A horizontal cylindrical pipe consists of two coaxial sections, the section to the left has radius r1r_1 and that to the right has radius r2r_2. Inside the pipe, there is a piston in each section trapping an incompressible fluid of density ρ\rho filled in the complete space between them. Constant pressures p1p_1 and p2p_2 (p1>p2p_1 > p_2) are maintained outside the pistons in the sections to the left and to the right respectively. When both the pistons acquire constant speeds towards the right, find their speeds.

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