Question strength and material pls show how you solve it in detail Question 4 (5 marks) A thin-walled cylindrical pressure vessel made from an aluminium alloy has an internal diameter d and a wall thickness t. Determine the ratio of diameter to wall thickness of the vessel for a safe working pressure of 9.25 MPa and a factor of safety of 2.5 using the Tresca criterion. Take the uniaxial tensile strength of aluminium alloy as 190 MPa. State your answer to 1 decimal place. Answer: 16.4

A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1600 kPa. The working fluid is air, which enters the compressor at 40°C at a rate of 700 m3/min and leaves the turbine at 650°C. Assume a compressor isentropic efficiency of 85 percent and a turbine isentropic efficiency of 88 percent. Use constant specific heats with Cv=0.821 kJ/kg-K, Cp = 1.108 kJ/kg-K, and k=1.35. Combustion chamber 1.6 MPa Compressor Turbine 650°C + 100 kPa 40°C Determine the back work ratio. (You must provide an answer before moving on to the next part.) The back work ratio is

find the surface Let f(x)=√x over the interval [1, 4]. Find the surface area of the surface generated by revolving the graph of f (x) about the x-axis. Round your answer to two decimals. YA 4- 3+ f(x)=√x 3+ f(x) = √x 2+ 2+ 1 1 6 X 이 -1 6 x -2 + -3+ -4 -2 O -1- -2+ -3+ 1 2 3 сл+ 4 5 -2 -1 1 1 1 1 2 3 4 5 삼

Determine the x-and y-coordinates of the centroid of the shaded area. Assume c = 6, a = 1.10, b = 1.90. = y 1 1 1 x 3 y=1+ © с ob- --X a b Answer: (1,5) = ( Locate the centroid of the shaded area. Set b= 0.40 a. y | *=a(1-1 y2 62 b * a Answer: (Ă, y) = ( Determine the x-and y-coordinates of the centroid of the shaded area. у | a | y = k2v x 1.20 a y = k123 Answers: (1. y) =(

Crich Corporation uses direct labor-hours in its predetermined overhead rate. At the beginning of the year, the estimated direct labor-hours were 21,940 hours and the total estimated manufacturing overhead was $530,948. At the end of the year, actual direct labor-hours for the year were 21,850 hours and the actual manufacturing overhead for the year was $530,948. Overhead at the end of the year was: (Round your Intermediate calculations to 2 decimal places.) Multiple Choice $2,228 underapplied $2,178 underapplied $2,178 overapplied $2,228 overapplied

For the following exercises, find the surface area of the volume generated when the following curves revolve around the y-axis. If you cannot evaluate the integral exactly, use your calculator to approximate it. 199. y = x2 from x = 0 to x = 2

For the following exercises, find the lengths of the functions of y over the given interval. If you cannot evaluate the integral exactly, use technology to approximate it. 181. y = 5 - 3x from y = 0 to y = 4 – 4