Figure 14.1a-120.0 cm-33.4 cm85.6 cmbrassaluminumA brass rod is 33.4 cm long and an aluminum rod is 85.6 cm long when both rods are at an initialtemperature of 0° C. The rods are placed in line with a gap of 1.0 cm between them. The distancebetween the far ends of the rods is maintained at 120.0 cm throughout. The temperature is raiseduntil the two rods are barely in contact. The coefficients of linear expansion of brass and aluminumare 2.0 x 10-5 Kand 2.4 x 10- K-, respectively. In Figure 14.1a, the temperature at whichcontact of the rods barely occurs, in °C, is closest to:A) 331B) 349C) 386D) 404E) 367

The expression for the temperature from linear expansion is,

Answered: Figure 14.1a -120.0 cm- 33.4 cm 85.6 cm…

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter18: Temperature

Section: Chapter Questions

Problem 13P

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Similar questions

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.
Two 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)?
A bar of gold (Au) is in thermal contact with a bar of silver (Ag) of the same length and area (Fig. P20.55). One end of the compound bar is maintained at 80.0C, and the opposite end is at 30.0C. When the energy transfer reaches steady state, what is the temperature at the junction?
The 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?
An 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 3(H) K. (a) If one-halt 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 YV/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
Inside the wall of a house, an L-shaped section of hot-water pipe consists of three parts: a straight horizontal piece h = 28.0 cm long, an elbow, and a straight, vertical piece = 134 cm long (Fig. P10.51). A stud and a second- story floorboard hold the ends of this section of copper pipe stationary. Find the magnitude and direction of the displacement of the pipe elbow when the water flow is turned on, raising the temperature of the pipe from 18.0C to 46.5C. Figure P10.51
Consider an object with any one of the shapes displayed in Table 10.2. What is the percentage increase in the moment of inertia of the object when it is warmed from 0C to 100C if it is composed of (a) copper or (b) aluminum? Assume the average linear expansion coefficients shown in Table 16.1 do not vary between 0C and 100C. (c) Why are the answers for parts (a) and (b) the same for all the shapes?
At 18.75 °C a brass sleeve has an inside diameter of 2.21988 cmand a steel shaft has a diameter of 2.22258 cm. It is desired toshrink-fit the sleeve over the steel shaft. (a) To what temperaturemust the sleeve be heated in order for it to slip over the shaft?(b) Alternatively, to what temperature must the shaft be cooledbefore it is able to slip through the sleeve?
Suppose due to a bad break of your femur, you require the insertion of a titanium rod to help the fracture heal. The coefficient of linear expansion for titanium is α = 8.60 × 10−6 K−1, and the length of the rod when it is in equilibrium with the leg bone and muscle at 37.0°C is 3.80 cm. How much shorter was the rod at room temperature (20.0°C)?
A bubble having a diameter of 92 cm is released from a depth of 4.5 m from the bottomof a swimming pool. The temperature of thewater at the surface is 22◦C, whereas it is 16◦Cat the point of release.What will the diameter of the bubble bewhen it reaches the surface? The accelerationof gravity is 9.8 m/s2and the density of wateris 1000 kg/m3.Answer in units of cm.
Train tracks are composed of 10 m segments of steel rails. If the temperature outside is 30°C on average, and the temperature in the factory that produces the rails is 20°C, what length must the steel rails be produced at so that the fit perfectly end-to-end when laid outside? The linear expansion coefficient of steel is 1.2 x 10-5 K-1.
An aluminum wing on a passenger jet is 35 m long when its temperature is 24°C. At what temperature would the wing be 4 cm (0.04 m) shorter?

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