1-32 The gravitational constant g is
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Fluid Mechanics: Fundamentals and Applications
- Density is defined as mass per unit volume (Fig. 1-25). Density: (kg/m) (1-4) The reciprocal of density is the specific volume v, which is defined as vol- ume per unit mass. That is, (1-5) For a differential volume element of mass ôm and volume &V, density can be expressed as P The density of a substance, in general, depends on temperature and pres- sure. The density of most gases is proportional to pressure and inversely proportional to temperature. Liquids and solids, on the other hand, are essentially incompressible substances, and the variation of their density with pressure is usually negligible. At 20°C, for example, the density of water changes from 998 kg/m' at I atm to 1003 kg/m' at 100 atm, a change of just 0.5 percent. The density of liquids and solids depends more strongly on temperature than it does on pressure. At I atm, for example, the density of water changes from 998 kg/m at 20°C to 975 kg/m at 75 C, a change of 2.3 percent, which can still be neglected in many…arrow_forwardCalculate the density, weight density, specific volume of 2 liters of a fluid of 5 kg mass (ENTER ONLY THE VALUES IN THE BOXES BY REFERRING THE UNIT GIVEN IN BRACKETS) density of fluid (unit in kg/m³) = One possible correct answer is: 2500 weight density of fluid is (Unit in N/m³) =- One possible correct answer is: 24525 specific volume (unit in mm3/kg) : %3D One possible correct answer is: 400000 specific gravity One possible correct answer is: 2.5arrow_forwardWater in a swimming pool has a temperature of 18°C. Express this temperature in K, °F, and °R. Twater(K) = Twater (ⓇR) = Twater (°F) = H i MI K °R °Farrow_forward
- Seatwork Complete the table below with the correct values in two decimal places, but "v" must be in five decimal places. A. Assume g = 9.81 m/s² and V = 3m³. v (m³/kg) p (kg/m³) a b с d e f 0.01200 1600 y (kN/m³) 15 m (kg) 115 W (kN) 14 p (lbm/ft³) 95arrow_forwardA tank is 6 m long, 4 m wide, 5 m high, and contains kerosene with density 820 kg/m³ to a depth of 4.5 m. (Use 9.8 m/s² for the acceleration due to gravity.) (a) Find the hydrostatic pressure (in Pa) on the bottom of the tank. 36162 Pa (b) Find the hydrostatic force (in N) on the bottom of the tank. 867888 N (c) Find the hydrostatic force (in N) on one end of the tank. Narrow_forwarda) An aircraft's instruments measure an air temperature of -10° C and an air pressure of 90 kPa. What is the air density for these conditions? b) What are the pressure and density altitudes of the aircraft? Use the following portion of the standard atmosphere tables. Altitude (m) 75 150 250 300 450 600 750 900 1000 1200 Pressure (KPa) 101.3 100.4 99.5 98.5 97.7 95.9 94.1 92.4 90.8 89.1 87.5 Density (kg/m³) 1.2250 1.2162 1.2075|| 1.1959| 1.1901| 1.1730| 1.1560|| 1.1392 1.1226| 1.1116| 1.0900arrow_forward
- 1.22 m 1. To avoid overheating, natural convection analysis is to be considered. If the minimum allowable heat transfer due to natural convection is 30 W, find the maximum angle at which the TV can hang off the wall (0 < 0 < 60). Some temperatures were collected; Back panel surface: 45 °C, ambient: 32 °C. A typical 55-inch TV screen measures (122 cm x 69 cm). Note: A typical screen uses a portion of the incoming energy to light up the LED panel, while the rest is dissipated as natural heat convection. 0.69 marrow_forwardthe question from thermodynamics Oxygen (molar mass 32 kg/kmol ) expands reversibly in a cylinder behind a piston at a constant pressure of 3 bar. The volume initially is 0.01 m3 and finally is 0.03 m3; the initial temperature is 18.97 0C. Calculate the mass of oxygen with the correct unit to four decimal places. Assume oxygen to be a perfect gas and take the specific heat at constant pressure as = 0 . 9 1 7 k J / k g K and molar gas constant as = 8,314 J / kmol Karrow_forwardIn Eigure 1), F900 lb, F400 lb, and F₁-900 lb. Figure 1 of 1 Y Part A Determine the magnitude of the resultant force acting on the corbel Express your answer in pounds to three significant figures. View Available Hint(s) FR- VAE Ivec Submit Previous Answers X Incorrect: Try Again; 4 attempts remaining Part B A ? Determine the direction of the resultant force acting on the corbel measured counterclockwise from the axis Express your answer in degrees to three significant figures. View Available Hint(s) AVA lbarrow_forward
- Q1. The following data is obtained during geothermal drilling operation. Rock density = 1550 kg/m ³, heat capacity of the rock = 0.00163 J/kg K, temperature difference = 80 K. How much will be the thermal heat content of the rock at the geothermal site? Discuss about geothermal gradients their importance in energy exploration. Do you think utilization of geothermal energy worldwide is increasing yearly? Justify your answer. Do you think the geothermal energy available in this site can be used for a metal melting industry?arrow_forwardIf the specific volume of a certain gas is 0.7848 m^3/kg, what is its specific gravity?arrow_forwardLiquid is held into two components Separated by a membrane.the total volume is 775ft3 and the volume of compartment Y is 300ft3 and it’s specific volume is 9.55ft3/lb.the membrane breaks and the resulting specific volume is 12.5 ft3/lb. a) determine the original specific volume in compartment X b)after breaking the membrane,the temperature of the liquid is 3 degree centigrade.if the absolute temperature of this reading is doubled and decreased by 239 degrees,what would be the final temperature of the maximum degree Celsius and degree Rankinearrow_forward
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