(a) A length of brass piping is 30 m long at a temperature of 18°C. When hot water flows through it the temperature of the pipe rises to 70°C. Determine the length of the hot pipe if the coefficient of linear expansion for brass is 18 x 10-6 K-¹.

Το TL K₁, A, L₁ K2, A, L₂ K₁, A. L₁ x=0 Та L ть Solve the following differential equation, given that for the intermediate section, the temperatures of its surfaces are T and T. Obtain an expression for the temperature profile in the longitudinal direction from the following equation and analyze its relationship with the constant K: dᎢ dr² = 0

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The diagram shows a schematic for a thermometer based on the expansion of some fluid. There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a vertical section, with a circular cross section, radius r. a. assuming r << R, show that the change in fluid level in the tube is given by: 4 BR³ AT AL = 3 p² Where AT is the change in temperature and is the volumetric expansion coefficient of the fluid b. what properties should the system have to be most sensitive?

Part A: Determine the stress-concentration factor K due to the 20 mm diameter circular cutout in the member. Answer: K=2.27 Part B: Determine the stress-concentration factor K due to the 10 mm radius shoulder fillets in the member. Answer: K=1.6 Part C: Sing the information obtained about the stress-concentration factors in the member, determine the maximum applicable axial force PP that can be applied to the member. Answer : 2.19*10^5 N I couldn't find the solution of part C. Can you solve the part C, please? Thanks!! (Other informations are in the attachment)

Consider the flow of a fluid with viscosity m through a circular pipe. The velocity profile in the pipe is given as u(r) = umax(1 - rn/Rn), where umax is the maximum flow velocity, which occurs at the centerline; r is the radial distance from the centerline; and u(r) is the flow velocity at any position r. Develop a relation for the drag force exerted on the pipe wall by the fluid in the flow direction per unit length of the pipe.

3- Derive the rule-of-mixtures equation (a₂ = a{V₁ + amVm) for the coefficient of thermal expansion α₂

An airplane has a half-wingspan of 40 m. Determine the change in length of the aluminum alloy [a = 22.0 × 10-6/°C] wing spar if the plane leaves the ground at a temperature of 20°C and climbs to an altitude where the temperature is -47°C. Answer: 5 - i mm

A thermometer is being designed for a process in which the temperature varies from 0 to 180 °C; from experience it is known that the process temperature, when it gets out of control, reaches up to 240 ° C. Considering that only the bulb is in contact with the part inside the equipment, what should be the volume of the safety vial? It is known that the bulb has a length of 1.2 cm and a diameter of 0.5 cm; the capillary has a length of 20 cm and the scale of the thermometer is -10 to 190 ° C. Consider that the coefficient of volumetric expansion for mercury is 1.82×10−4 ° C− 1