Q 1 surface area and (b) the increase in volume when it is heated to 75.0°C. Q 2 In some cases, the coefficient of linear expansion varies with temperature, show that in that situation L = |1+ fr, a(T)dT|. A brass cube has an edge length of 33.2 cm at 20.0°C. Find (a) the increase in

A thin glaze is applied on the surface of a thick ceramic block by heating it above 650◦C, which allows it to flow over the surface. On cooling, the glaze becomes sufficiently stiff at 500◦C to act as a solid (Fig. 3). Calculate the stresses in the glaze layer by assuming it to be in a state of plane stress in the X1 − X2 plane when it has cooled to 20◦C. The thermal expansion coefficients of the glaze (g) and ceramic (c) are respectively, αg = 4.0 × 10−6/◦C and αc = 5.5×10−6/◦C. Take E = 300GPa and ν = 0.15 for the glaze and the block. Assume the stresses in the block to be negligible.

(a) What is the rate of energy loss in watts per square meter through a glass window 3.5 mm thick if the outside temperature is -17°F and the inside temperature is +73°F? (b) A storm window having the same thickness of glass is installed parallel to the first window, with an air gap of 5.5 cm between the two windows. What now is the rate of energy loss if conduction is the only important energy-loss mechanism? (The thermal conductivity of window glass is 1.0 W/m-K, and of air is 0.026 W/m-K.) (a) Number (b) Number Units Units

(a) What is the rate of energy loss in watts per square meter through a glass window 3.0 mm thick if the outside temperature is -20 F and the inside temperature is +72 F? (b) A storm window having the same thickness of glass is installed parallel to the first window, with an air gap of 7.5 cm between the two windows.What now is the rate of energy loss if conduction is the only important energy-loss mechanism?

(a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 150 m? and their inside surface is at 20.0°C, while their outside surface is at 5.00°C. 1560 X W (b) How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer to the next whole integer.) 1 kW room heaters (a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 150 m? and their inside surface is at 20.0°C, while their outside surface is at 5.00°C. 1565.21 X W (b) How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer to the next whole integer.) 12 1 kW room heaters now from O…

A length of steel is 31 m long and is clamped rigidly at each end when at 0 degrees C. If the temperature is raised to 27.1 degrees, calculate the tensile stress (F/A) on the steel length due to thermal expansion. Tensile stress is calculated using Young’s Modulus (Ysteel = 20 x1010 N/m2) Take the coefficient of linear expansion to be 11x10-6 degrees C-1

A spherical steel ball bearing has a diameter of 2.540 cm at 27.00°C. (Assume the coefficient of linear expansion for steel is 11 x 10-6 (°C) ¹.) (a) What is its diameter when its temperature is raised to 116.0°C? (Give your answer to at least four significant figures.) cm (b) What temperature change is required to increase its volume by 1.200%? °℃

A circular steel casting (coefficient of linear expansion 1.24 x 10-5 per degree Celsius) has a gap of 1.600 cm at 30.0 degrees Celsius. How much larger is the gap (in cm) when the casting is at 190 degrees Celsius?

The average coefficient of linear expansion of copper is 17 x 10-6 (°C)-1 . The Statue of Liberty is 93 in tall on a summer morning when the temperature is 25°C. Assume the copper plates covering the statue are mounted edge to edge without expansion joints and do not buckle or bind on the framework supporting them as the day grows hot. What is the order of magnitude of the statue's increase in height? (a) 0.1 mm (b) 1 mm (c) 1 cm (d) 10 cm (e) 1 ml