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Write the primary dimensions of the universal ideal gas constant
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Fluid Mechanics: Fundamentals and Applications
- Ql: The viscosity in industrial measurement continue to use the CGS system of Lunits, since centimeters and grams vield convenient numbers for many fluids. The absolute viscosity () unit is the poise, I poise = 1 gtem. s). The kinematic viscosity (v) unit is the stohes, I stokes = 1 em /s. Water at 20C has u = 001 poise and also V= 0.01 stokes. Express these resalts in (a) SI and (h) BG tanits.arrow_forwardRequired information Determine the dimension {MLT} of the following quantities: ?u pu əxarrow_forward3. Consider the following equation. All three of the terms in parentheses are dimensionless groups. Because kc is difficult to determine directly, the other variables are measured and kc is calculated from the given equation. 26 THERMODYNAMICS 1 MODULE 1 FUNDAMENTAL CONCEPTS ]3 [ _d>vp_jo8 p DAB kc D = 0.023 [H DAB What is the estimated value of kc? What are the units of kc? Show your work. The following values were measured: D = 8.0 mm, DAB = 0.475 cm²/s, µ = 1.12 x 103 N-s/m², p = 1.00 x 10-³ g/cm³, v = 15.0 m/s.arrow_forward
- physical quantities m, r, u, a, and t with dimensions [m] = M, [r]= L, [v] = LT, [a] = LT-2, and [t] = T. Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L, T, and exponents. Assume that each of the following equations is dimensionally consistent. F = ma [F] =arrow_forwardTime left 1:5 An ideal gas has its pressure (1.8) times and mass density (2.2) times increased. If the initial temperature is 265.4 °C, what is the final temperature in °C, and use one number after the decimal (xxx.x)? Answer: NEXT PAGE pe here to search DELLarrow_forwardCheck the following equation for dimensional homogeneity: mv = = 1.5² (Fcose) dt where m is mass, v is velocity, F is force, is an angle, and t is time. Check that each term in the equation has the following dimensions: [MªLbTC] where you are to choose the coefficients a, b, c. Answers: a = i b = i C=arrow_forward
- Check the following equation for dimensional homogeneity: mu = (Fcos) at where m is mass, v is velocity, F is force, is an angle, and it is time. Check that each term in the equation has the following dimensions: [MOLT] where you are to choose the coefficients a, b, c. Answers: b= C= i iarrow_forwardWrite the primary dimensions of the universal ideal gas constant Ru. (Hint: Use the ideal gas law, PV = nRuT where P is pressure, V is volume, T is absolute temperature, and n is the number of moles of the gas.)arrow_forwardfx | А В 1 Variable Value Units Length 30 inch Width 18 inch 4 Area m^2 4 The image above shows a section of a Google sheet. What formula should be written in cell B4 to calculate the area in m^2 of a rectangle with a length value in B2 and width in B3? a) =length * width / (2.54)^2 b) =(B2*2.54e-2) * (B3*2.54e-2) с) %3[В2/2.54e-2) * (В3/2.54e-2) d) =(B2/2.54) * (B3/2.54) e) =length * width f) =(B2*2.54) * (B3*2.54) Page 2. 5arrow_forward
- The air resistance to the motion of a vehicle is something important that engineers investigate. As you may also know, the drag force acting on a car is determined experimentally by placing the car in a wind tunnel. For a given car, the experimental data is generally represented by a single coefficient that is called the drag coefficient. It is given by the relationship: Cd = Fd/(1/2)pV2A. What is the appropriate unit for Cd if the preceding equation is to be homogeneous in units?arrow_forwardAssignment 3 On Viscosity Calculation - Word TOUT REFERENCES MAILINGS REVIEW VIEW Hyperlink P Bookmark tArt Chart Screenshot Apps for Office Online Video Cross-reference Comment Header Footer Page Number Text Quick WordA Box Parts - ns Apps Media Links Comments Header & Footer (2) Referring to the following figure, the distance between plates is Ay = 0.5 cm, Av: = 10 cm/s, and the fluid is ethanol at 273 K having a viscosity of 1.77cp (0.0177 g/cm s). (a) Calculate the shear stress ty and the velocity (b) gradient of shear rate -/dy using cgs units. (c) Repeat using SI units. A Torce Fdshear berween teoparailel platesarrow_forwardRequired information Determine the dimension {MLTO} of the following quantities: ²T рСр Әхдуarrow_forward
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