A steel section of the Alaska pipeline was installed with a length of
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- How much stress is cleated in a steel beam if its temperature changes from 15 to 40 but it cannot expand? For steel, the Young's modulus Y=210109N/m2 from Stress, Strain, and Elastic Modulus (http://cnx.org/content/m58342/latest/#fs-id1163713086230). (Ignore the change in area resulting from the expansion.)arrow_forwardTwo concrete spans that form a bridge of length L are placed end to end so that no room is allowed for expansion (Fig. P16.63a). If a temperature increase of T occurs, what is the height y to which the spans rise when they buckle (Fig. P16.63b)?arrow_forwardThe mass of a hot-air balloon and its cargo (not including the air inside) is 200 kg. The air outside is at 10.0C and 101 kPa. The volume of the balloon is 400 m3. To what temperature must the air in the balloon be warmed before the balloon will lift off? (Air density at 10.0C is 1.244 kg/m3.)arrow_forward
- A popular brand of cola contains 6.50 g of carbon dioxide dissolved in 1.00 L of soft drink. If the evaporating carbon dioxide is trapped in a cylinder at 1.00 atm and 20.0C, what volume does the gas occupy?arrow_forwardThe rectangular plate shown in Figure P16.60 has an area Ai equal to w. If the temperature increases by T, each dimension increases according to Equation 16.4, where is the average coefficient of linear expansion. (a) Show that the increase in area is A = 2Ai T. (b) What approximation does this expression assume?arrow_forwardStars A and B have the same temperature, but star A has twice the radius of star B. (a) What is the ratio of star As power output to star Bs output due to electromagnetic radiation? The emissivity of both stars can be assumed to be 1. (b) Repeat the question if the stars have the same radius, but star A has twice the absolute temperature of star B. (c) Whats the ratio if star A has both twice the radius and twice the absolute temperature of star B?arrow_forward
- A mercury thermometer is constructed as shown in Figure P16.53. The Pyrex glass capillary tube has a diameter of 0.004 00 cm, and the bulb has a diameter of 0.250 cm. Find the change in height of the mercury column that occurs with a temperature change of 30.0C.arrow_forwardAt what temperature is the average speed of carbon dioxide molecules ( M=44.0 g/mol) 510 m/s?arrow_forwardIf the gas in Exercise 23 is initially at room temperature (20C) and is heated in an isobaric (constant-pressure) process, then what will be the temperature of the gas in degrees Celsius when it has expanded to a volume of 0.700 m3?arrow_forward
- The height of the Washington Monument is measured to be 170.00 m on a day when the temperature is 35.0 . What will its height be on a day when the temperature falls to -10.0 ? Although the monument is made of limestone, assume that its coefficient of thermal expansion is the same as that of marble. Give your answer to five significant figures.arrow_forwardAn aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)arrow_forwardThe distance between telephone poles is 30.50 m in a neighborhood where the temperature ranges from 35C to 40C. If you hang a copper cable between two adjacent poles on a day when the temperature is 22.30C, what is the minimum length of the copper cable you must use for the cable to remain connected to the poles all year? Assume the cable is straight, and ignore the effect of gravity on the cable. Consider to have four significant figures and report your answer to four significant figures.arrow_forward
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