Derive common expressions for the radiative heat transfer rate between two surfaces below. Aσ (T-T) a) Infinite parallel plates: A1, T1 E1 912 = 1 1 + ε1 E2 1 A2, T2, E2 b) Infinitely long concentric cylinders: 912 c) Concentric spheres: 912 182 A₁σ (T-T) 1-82 (11) = 1 + ε1 E2 = A₁σ (T-T) 1 1-82 રંતુ + E2 2

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1) The assembly is made of the slender rods that have a mass per unit length of 3 kg/m. Determine the mass moment of inertia of the assembly about an axis perpendicular to the page and passing through point O. 0.4 m 0.8 m 0.4 m

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A radio controlled aircraft is instrumented with an airspeed sensor and a power module, which measures the airspeed V [m/s] with an uncertainty of ± 0.8 [m/s], the battery voltage E [V] with an uncertainty of ± 0.8 [V] and the current draw i with an uncertainty of ± 0.8 [A]. These sensors are used to estimate the coefficient of drag CD of the aircraft. For this purpose, the aircraft was flown under cruise condition at a constant speed, maintaining a constant altitude and the airspeed was recorded as V=10 [m/s]. A battery voltage of E=11.1 [V] and current draw i= 1[A] was also recorded. Prior to take off the weight of the aircraft was recorded using a scale as 0.8 [N] ± 0.03 [N], and the planform area S of the aircraft was found using a CAD model as 0.35 [m^2]. The air density p relevant to flight conditions was found to be p =1.225 [kg/m^3] and the propulsion efficiency was found to be 0.4. The coefficient of drag CD for cruise flight is governed by the following equation. Provide the…

The structure of a house is such that it loses heat at a rate of 4500 kJ/h per °C difference between the indoors and outdoors. A heat pump that requires a power input of 5.50 kW is used to maintain this house at 24°C. Determine the lowest outdoor temperature for which the heat pump can meet the heating requirements of this house. (Include a minus sign if necessary.) The lowest outdoor temperature for which the heat pump can meet the heating requirements of this house is ________  °C.

Annealing is an important step in many manufacturing processes, especially for metals. A particular manufacturing process requires annealing of a thin metallic sheet at 700°C. To accomplish this task, the sheet is placed in a large furnace, the walls of which are at approximately 730°C. An inert gas circulates through the oven to prevent oxidation of the metal. a) The metallic sheet can be approximated as diffuse, and the spectral emissivity of the sheet is shown in the figure. Determine the emissive power (W/m²) from the sheet when it is at a uniform T = 700°C. b) Determine the net rate of radiative flux (W/m²) to the metal sheet. (Note that the irradiance depends on the oven wall temperature, not the sheet temperature). 1 0.8 0.3 2.5 λ (μη) . c) The circulating inert gas comes from a reservoir and must be preheated before it flows into the furnace so that it doesn't cool the sheet too much. The anticipated convection coefficient between the sheet and the gas is h = 150 W/m² K. What…

5. For a gauge pressure at A in the figure shown which is equal to -1.58 psi and the specific gravity of liquid B = 1.00, find the pressure at pt. B. 10.50 ft Air 11.25 ft 9.00 10.00 ft Liquid B =1.60

Thermocouples are popular devices used to measure temperature, owing to their relatively inexpensive cost and overall accuracy. Simply taking the output of a thermocouple at face value can, however, result in significant errors. Consider measuring the temperature of hot process gas flowing through a large duct with a small thermocouple. The thermocouple surface is diffuse and gray with emissivity ε. The duct walls are known to be 400°C with total emissivity &w = 0.8. The error between the measured temperature (Ttc) and the process gas (T) is defined as AT = Ttc - To. If the true process gas temperature is T∞ = 125°C, plot the error for 5 values of the thermocouple emissivity, & = {0.1,0.3.0.5,0.7,0.9), as a function of the convection coefficient, {h | 15 5 W≤h≤ 103 W}. Comment on and explain your results. m²-K Note: When a "small" object is surrounded by "large" surroundings, the surroundings effectively behave as a black body. See sections 12.4 and 12.7 for further discussion.