While taking a shower, you notice that the shower head is madeup of 36 small round openings, each with a radius of 1.4 mm. Youalso determine that it takes 7.0 s for the shower to completelyfill a 1- liter container you hold in the water stream. The waterin your house is pumped by a pump in the basement, 6.2 m below thelevel of the shower head. The pump maintains an absolute pressureof 1.6 atmospheres. Neglect viscosity. Use g = 9.8 m/s/s, and 1atmosphere = 101,300 Pa.
[1 point] (a) What is the total area of the openings in theshower head?
[2 points] (b) At what speed is the water emerging from theholes?
cconnected to the pump (assume it has a constant cross-sectionalarea)?
[2 points] (c) At what speed is the water flowing through thepipe
[2 points] (d) What is the radius of the pipe?
[1 point] (e) If you covered up six of the holes in the showerhead with your thumb, with what speed would you expect the water toemerge from the remaining holes?
