Question

The water supply pipe for a building is located a distance ?d=3.00m below a faucet in a first-floor bathroom. The radius of the supply pipe is ?R=3.40cm and the radius of the faucet tap is ?r=1.20cm. When the faucet is fully open you can fill a bucket of volume ?V=4.20L in time ?t=30s. The density of water is ??=1.000ρw=1.000g/cm33.

a) Draw a sketch of a single pipe that goes from the supply pipe inlet to the faucet on the first floor and label it with the known quantities.

b) What speed does the water leave the faucet, using only the symbols given? What is the numerical value?

c) What is speed of the water flowing in the supply pipe, assuming that there is only one pipe between the supply inlet and the faucet and no other faucets in the building are open? Symbolic first, then the numerical value.

d) What is the pressure difference between the supply pipe and the faucet given the conditions in c)? Symbolic first, then the numerical value. Numerical answer: -0.29 atm (the pressure at the faucet is less than the pressure at the supply).

Answer 1