i. average of 0.1707, 0.1713, 0.1720, 0.1704, and 0.1715 2. In a certain application, the acceleration a and the position coordinate x of a particle are related by M where g is the gravitational acceleration, k is a constant, and W is the weight of the particle. 1) What is the dimension of k? 2) Based on the dimensional analysis, what is the physical meaning of k? 3) What are the corresponding units in the SI and US Customary systems? 3. When fluid flows over a surface, the Reynolds number will output whether the flow is laminar (smooth), transitional, or turbulent. The Reynolds number is expressed as where p is the density of the fluid, v is the free stream fluid velocity, D is the characteristic length of the surface, and u is the fluid viscosity (refer to Question #6 of Homework #1). Verify that the Reynolds number is dimensionless using the SI system of units. McNeese State University ENGR 110 Introduction To Engineering 1n Course: 21F 66549 - CHEM X Smartwork5 for Chemistry X Smartwork5 Ellucian Experience smart he Dimension X | x pluginfile.php/2422002/mod_resource/content/1/ENGR110_HW2_DimensionalAnalysis_SignificantDigits.pdf CD Page view A Read aloud Draw v E Highlight 4. Determine which one of the following equations is dimensionally consistent, where F is force, m is mass, x is distance, V is velocity, and t is time. You need to show all work in order to get credit for this question. your F = -mAx FAV = =mAx² FAx = mAV? FAt = AV FAV= 2mAť = -MAV² FAt = AV FAV = 2mA 5. The frequency of a guitar string is related to three factors: a. Tension in the string. If you adjust the machine head, you adjust the tension in the string. Note: tension is force. b. Mass of the string. Obviously, the heavier the string, the lower the tone. c. Length of the string. When you play different frets, you essentially change the length of the string. The shorter the string, the higher the pitch. Answer the following questions. (1) What is the dimension of frequency? Note: frequency is number of cycles per second. Here we used terms such as tone and pitch – they all refer to frequency. (2) Conduct dimensional analysis to relate frequency of a string to these three parameters. 74°F Rain to stop