When you push down on the handle of a bicycle pump, a piston in the pump cylinde

Question

When you push down on the handle of a bicycle pump, a piston in the pump cylinder compresses the air inside the cylinder. When the pressure in the cylinder is greater than the pressure inside the inner tube to which the pump is attached, air begins to flow from the pump to the inner tube. As a biker slowly begins to push down the handle of a bicycle pump, the pressure inside the cylinder is 9.30x10^4 Pa, and the piston in the pump is 0.52 m above the bottom of the cylinder. The pressure inside the inner tube is 2.30x10^5 Pa. How far down must the biker push the handle before air begins to flow from the pump to the inner tube? Ignore the air in the hose connecting the pump to the inner tube, and assume that the temperature of the air in the pump cylinder does not change.
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Explanation / Answer

V1P1 = V2P2. So now we have, (1.0 x 105)A(0.55) = (2.4 x 105)Ah2 Now solve for h2.

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