Q2-Indicate the balances you would write and the order in which you would write them to solve for the unknown stream variables in the following process: m(g/s) 400 g/s 0.3 g A/g 0.2 g B/g 0.5 g C/g x(g A/g) 0.1 g B/g (0.9-xg C/g)
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- An airplane builder wants to build a scaled-down model of a real airplane in a 12:1 ratio in order to be able to perform tests in a wind tunnel. The real plane flies at 126 km/h, while the air speed in the tunnel where the model is located is given by V. The performances of the two will be equivalent for a value of V, in m/s, equal to Data: air viscosity η = 1.8 × 10-5 kg/(m.s) air density ρ = 1.3 kg/m3Dimensional Analysis and Hydraulic Similitude (fluid mechanics) 1. Water at 60F at 12 ft/s in a 6-in. pipe. (a) For dynamic similarity, determine the velocity of medium fuel oil at 90F flowing in a 12-in. pipe. (b) Determine the diameter of the pipe that should be used if a medium lubricating oil at 70oF if flowing at a velocity of 50 ft/s. find the: a. velocity : ____________________ fps b. diameter : ____________________ in.I just need help simplifying these equations (1 and 2). Qo,Kic, and CL are all their own variables (not 2 multiplied ie. Q*o, k*i*c and not C*L)
- The data below is from a passenger hot air balloon. The balloon is designed to lift 10-people (80 kg each person). The balloon consists of a basket, a burner- propane tank system. It will lift up when the cold air trapped inside warms up by the burner. Density of air inside the balloon is 99°C: 0.9486 kg/m³, density of air outside balloon is 20°C (ambient): 1.2041 kg/m³, Assume the balloon is a sphere shape, volume =(4/3)pi R3 Mass (kg) Balloon Basket Burner Propane tank 113.4 kg 63.5 kg 22.7 kg 183.7 kg a) Determine the minimum diameter of the balloon that would have a total lifting force to balance the weight of balloon, basket, burner, propane tank and 10 people? b) If the balloon is converted to survey the weather, it will be filled with hydrogen gas (H2). Assume the weight of the people (800kg) is now replaced by onboard equipment, what is minimum diameter needed to keep it afloat at 18km above the surface of the earth?When using the method of repeated variables in a problem, it is determined that one of the independent Πs is given by the product between the independent variable lift force FL [N], and the repeated variables density ρ [kg/m3], velocity V [m/s], and area A [m2]. Remembering that Πs are given by the product of the primary dimensions raised to the zero power, of the type m0L0t0 T0, determine this independent Π. (the form is in the side picture)Don't skip steps. Show the complete solution for this problem. A golden breast plate weighing 18.63 kg Is dropped in a tub that Initially contains water. After the breast plate was totally submerged. the water level rises by 61.87 cm. The tub has a diameter of 6 centimeters and the breast plate was said to be made only from gold and silver Compute for the percentage of each component of the breast plate if the density of gold Is 19.3 g/cubic centimeter and silver has a density of 10.49 g/cubic centimeter.
- A fluid flows through a pipe and exits into a container that sits on some scales. At the beginning of the pipe the velocity is 6m/s After 156s, the scale shows 7733N. The pipe outlet diameter is 0.1m, and is four times greater than the inlet. Determine the density of a fluidThe variables in a Saybolt viscometer are the time (t) required to empty a certain volume of oil of density (ρ) and viscosity (μ), a length (L) representing the dimensions of the viscometer, and the gravitational acceleration (g). Using the Buckingham Pi-theorem, show thatHydrostatic pressure at any given depth of a liquid depends on the_____ of the container.a)Volumeb)ShapeC)Depthd)All of the above .As the temperature of oil increases, the viscosity of oil willa) increaseb) decreaseC)not change Which of the following units would NOT be used for volume flow rate?a) gal/minb) Ib/sc)m⅗d)ft^3/s 2.Dynamic viscosity is defined as,a) weight per unit volume of a fluidb) volume per unit weight of a fluidc) the velocity gradient divided by the shearing stress of a fluidd)the shearing stress divided by the velocity gradient of a fluid
- The density of liquid water at 25 degrees celsius equals 62.2lbs/cube ft. Suppose the KD DF stud at the top of the page weighs 13.35lbs. And suppose the KD DF stud is thrown into a swimming pool, Twater=25 degrees celsius. Based on data would the stud: sink completely, partually. or float completelyA 45 grams (0.045 kg) golf ball of diameter equal to 43 mm fell into a 2m deep lake. Neglect inertia at the moment of impact. Assume viscosity of 1.12x10-3 Ns/m2 , water density of 1,000 kg/m3 and Cd=0.5. Sphere volume equals 4π r³ /3. 1. How long will it take from the moment it hits the surface until it gets to the bottom? 2. If one estimates the Cd with Cd=24/Re formula, the settling velocity would be unrealistically large. Why?The speed of sound traveling through the sea is a function of temperature, salinity, and pressure. It is modeled by the function C = 1449.2 + 4.67T -0.055T² +0.00029T³ + (1.34-0.01T) (S-35) + 0.016D where C is the speed of sound (in meters per second), T is the temperature (in degrees Celsius), S is the salinity (the concentration of salts in parts per thousand, which means grams of dissolved solids per 1000 grams of water), and D is the depth below the sea surface, in meters. Calculate the following (Check attached image d3) when T = 10 °C, S = 35 parts per thousand, and D = 100 m. Explain the physical meaning of these derivatives.