The air pressure in the top of the 2-liter pop bottle shown in Video V2.6 and Fig. P2.118 is 40 psi, and the pop depth is \(10 \mathrm{in}\). The bottom of the bottle has an irregular shape with a diameter of \(4.3 \mathrm{in}\).

(a) If the bottle cap has a diameter of 1 in. what is the magnitude of the axial force required to hold the cap in place?

(b) Determine the force needed to secure the bottom 2 in. of the bottle to its cylindrical sides. For this calculation assume the effect of the weight of the pop is negligible.

(c) By how much does the weight of the pop increase the pressure 2 in. above the bottom? Assume the pop has the same specific weight as that of water.

Figure P2.118

Transcribed Image Text:

12 in. 10 in. -1-in. diameter Pair = 40 psi 1 -4.3-in. diameter