EMCH 360 “Introduction to Fluid Mechanics”
University of South Carolina, Prof. Shyuan ‘Jeffrey’ Cheng
Homework Assignment 1
NOTE: Use this first assignment to develop your clear, self-contained, and insightful
presentation of homework solutions. Use the framework of outlining sections for
“Given”, “Find”, “Solution”, and “Comments” for standard problems, so that your
answers are fully contained and clearly describe your logic to the reader.
You are welcome to use generative AI tools for homework, but you must clearly identify
any writing, text, or media generated by AI by highlighting them in yellow.
Reading Assignment before class: Ch 1 (quick overview), 4.1, 4.2, 4.4
Problem 1. Fluid Properties. (60 points)
For a compressed air tank has a volume of 0.03 m³ under STP. Determine the density of
the air and the weight of air in the tank, when the tank is filled with air at a gage pressure
of 350 kPa.
Problem 2. Big Picture. (40 points)
a) What 4 key forces have we discussed with fluids?
b) Choose an entry at the FYFD blog related to a Themed Series in the section of
"Fluid Dynamics of Plants" https://fyfluiddynamics.com/series. Identify your
selected post, draw a relevant free body diagram, and identify which of the 4 fluid
forces (identified in part (a)) are involved in the free body diagram. And be sure
to add Comments on the selected post.
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