Solution Found!
Su ersonic Erosion In waterjet cutting, a stream of
Chapter 15, Problem 83GP(choose chapter or problem)
Problem 83GP
Su ersonic Erosion In waterjet cutting, a stream of supersonic water is used to slice through materials ranging from sheets of paper to solid steel plates. The water is held in a reservoir at 59,5OÜ psi and allowed to exit through a small orifice at high speed. Find the exit speed of the water, and compare with the speed of sound.
Questions & Answers
QUESTION:
Problem 83GP
Su ersonic Erosion In waterjet cutting, a stream of supersonic water is used to slice through materials ranging from sheets of paper to solid steel plates. The water is held in a reservoir at 59,5OÜ psi and allowed to exit through a small orifice at high speed. Find the exit speed of the water, and compare with the speed of sound.
ANSWER:
Solution 83GP
Step 1 of 3
In the given case, we need to calculate the exit speed of water through a small orifice and we need to compare that with the speed of sound. The pressure of water inside the reservoir is given to be with the density of water
. The atmospheric pressure is taken as
.
Here we need to use Bernoulli’s equation which can be used as energy conservation per volume for the fluid. The change in speed of the fluid from to
and its relevant pressure can be written as,