Question
A fairly large garden hose has an internal radius of 0.600 cm and a length of 23.0 m. The nozzleless horizontal hose is attached to a faucet, and it delivers 50.0 L/s. (a) What water pressure is supplied by the faucet? (b) What is unreasonable about this pressure? (c) What is unreasonable about the premise? (d) What is the Reynold's number for the given flow? (Take the viscosity of water as $1.005 \times 10^{-3} \textrm{ Pa}\cdot\textrm{s}$.)
1. $2.37 \times 10^6 \textrm{ Pa}$
2. The pressure is 23.5 atm. This is much too high for a garden hose. For comparison, a stove top pressure cooker has a pressure of about 15 atm.
3. The volume flow rate is too high.
4. $N_R = 5.28 \times 10^6 >> 3000$. The flow is turbulent.
Solution Video