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# MECH 103 CH. 4 Notes MECH 103

CSU
Introduction to Mechanical Engineering
John S Petro

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Here are the notes from chapter 4 - dimensionless numbers!
COURSE
Introduction to Mechanical Engineering
PROF.
John S Petro
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
Dimensionless number, mechanical engineering, chapter 4
KARMA
25 ?

## Popular in Mechanical Engineering

This 1 page Class Notes was uploaded by bellad66@gmail.com Notetaker on Sunday October 4, 2015. The Class Notes belongs to MECH 103 at Colorado State University taught by John S Petro in Fall 2015. Since its upload, it has received 73 views. For similar materials see Introduction to Mechanical Engineering in Mechanical Engineering at Colorado State University.

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Date Created: 10/04/15
o A dimension is a measureable physical idea it usually consists only of a word description with no numbers 0 A unit allow us to quantify a dimension to state a number describing how much of that dimension exists in a specific situation 0 Common dimensionless numbers 0 O O 0 Pi 0 Defined as the ratio of the circumference of a circle to its diameter 0 PiCDL1L1L0 Specific Gravity SG mvmv ML3 ML3 M L Mach number Ma 0 The ratio of the speed of the object compared with the speed of sound in the air 0 Ma speed of the objectspeed of sound in the air LTLT LOT0 Radian rad 0 Defined as the angle at the center of a circle formed by an arc S equal in length to the radius r of that circle 0 1 radianSr LL Lo Sin x o X x33 x55 x77 0 Law of arguments any function that can be computed using a series must show a dimensionless argument 0 Dimensional analysis 0 Dimensionless quantities are generated as a result of a process called dimensional analysis 0 Raleigh39s Method 0 A method of dimensional analysis 0 O O 0 Step 1 write each variable and raise each to an unknown exponent Step 2 substitute dimensions of the variables into step 1 Step 3 group by dimension Step 4 form a set of equations by setting the exponent groups from step 3 for each dimension equal to zero Step 5 solve the simultaneous equations 0 Numbers of unknowns number of equations number of groups you will have Step 6 substitute results of step 5 back into step 1 exponents Step 7 group variables by exponent 0 These resulting groups are your dimensionless numbers Step 8 be sure to check if all the ratios are dimensionless

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