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- (b) Demonstrate that the following equation is dimensionally homogenous. [10 %] Ixc Yp = ye+ Ayc fluid mechanicsA rigid bar is supported by two copper ro ds and the gap (A) between the aluminu m rod and the bar is 1.50 mm. If the temp erature for all materials is increased by 4 0 degrees Celsius, will the aluminum rod touch the rigid bar or not? Prove your ans wer by stating computed data. Disregard the weight of the rigid bar. For each copper bar, A = 500 mm^2, E = 120 GPa, and a = 1 6.8 μm/(m. C). For the aluminum bar, A = 400 mm^2, E = 70 GPa, and a = 23. 1 μm/(m. C).(* Copper Aluminum Copper 750 mm1.7 The density of copper is 8.96 g/em'. You have three different solid samples of copper. One is rectangular with dimensions 2.3 cm x 3.1 cm x 8.0 cm. The second is a cube with edges of 3.8 cm. The third is a cylinder with a radius of 1.5 cm and a height of 8.4 ém. Calculate the mass of each sample. 1.8 A 50.00-g sample of metal at 78.0°C is dropped into cold water. If the metal sample cools to 17.0°C and the specific heat of metal is 0.108 cal/g °C, how much heat is released?
- A solid rectangular silver metal with a height of 0.42 m and a total mass of 58.02 kg has the following characteristics: silver has a specific gravity of 10.49. What is the total area ( mm? Jof the silver?Find the particular solution for (2y3 – x³) dx + 3xy? dy = 0 when x = 1, y = 1*:Which statement is true .1 Molecular spacing of solids and fluids are comparable compared to each other O Molecular spacing of solids are always larger than those of fluids Molecular spacing in solids and fluids are sometimes close to each other O Molecular spacing in solids are always smaller than those of fluids
- 211 In engineering applications there is a wide range of pipe wall roughness due to the different materials and methods of manufacture used to produce commercial pipes. Generally, flowing acids in a rough pipe is quite dangerous since the internal molecules collide each other by friction and then it could explode. You are supposed to determine whether the pipe is rough or smooth for a liquid of specific gravity 0.60 and absolute viscosity 5.5 x 10-4 NS/m2 flowing through a pipe of diameter 0.2 m at the rate of 50 litres per second. If the loss of head in 100 m length of pipe is 5.56 m.Compute the kinematic viscosity of a R ft long model of ship when the prototype ship length is 500 ft and is travelling with a speed of 20mile per hour in an ocean whose viscosity is 1.2 cP and specific weight is 64 lb/ft3 . Keeping in mind to satisfy the condition that both the Reynolds number and the Froude number should be same. (R is 39)The Young's modulus of elasticity of a material is 2.5 times modulus of rigidity. The Poisson's ratio for the material will be O 0.25 Ob-0.75 OC050 od 0.37
- Please solve for Ray, Rax, Rdy, Rdx, and AB. Please show the steps don't skip any step as That is really what i need to understand this problem. Thank you PROVIDE HANDWRITTEN ANSWERQuestion- Metal body floats at the interface of water and oil of SG=0.85 such that 35% of its volume is submerged in water and 65% in the oil. What will be the density of the metal approx.An aluminum cylinder (s.g=2.7) 15 cm high and with diameter d=8.1 cm slides down inside a tube with inner diameter D=8.2 cm, as shown in the figure. The cylinder is concentric with the axis of a tube and between them there is a thin film of oil of s.g. =0.8 with a kinematic viscosity of 0.075St. a) What is the (constant) rate of fall of the cylinder inside the tube? b) determine the torque needed to keep the inner cylinder rotating at an angular speed w=200rpm D
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