ENES100_PS1_solutions_S09

# ENES100_PS1_solutions_S09 - ENES 100 Introduction to...

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ENES 100 Introduction to Engineering Design Problem Set 1: Fluid Mechanics of Levitation Spring 2009 Problems: 1. A piston having a mass of 1 lb slides freely within a cylinder as illustrated in Figure 1. a. What is the pressure in the cylinder if the piston is round and has a diameter of 3 inches? Please provide your answer in gage pressure (the pressure relative to local atmospheric pressure) both lb/in 2 and Pa. b. What is the pressure in the cylinder if the piston is square with a linear dimension of 3 inches? Please provide your answer in gage pressure (the pressure relative to local atmospheric pressure) both lb/in 2 and Pa. Solution a) ( ) 1 1 2 2 2 0 0 4 4(1 lb) 0.141 lb/in 3 inch y atm piston piston piston atm F p A p A M g M g M g p p p A D p π = = = Δ = = Δ = = 2 2 lb 4.45 N in 0.141 in lb 0.0254 m 973 Pa p p   Δ =     Δ = Solution b) ( ) 1 1 2 2 0 0 (1 lb) 0.111 lb/in 3 inch y atm piston piston piston atm F p A p A M g M g M g p p p A WL p = = = Δ = = Δ = = 2 2 lb 4.45 N in 0.111 in lb 0.0254 m 766 Pa p p   Δ =     Δ

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## This note was uploaded on 02/27/2010 for the course ENME 271 taught by Professor Marks during the Spring '08 term at Maryland.

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ENES100_PS1_solutions_S09 - ENES 100 Introduction to...

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