06:39Physics - Thermodynamics: Temperature (4 of 4) Thermal Linear Expansion: Example 3Michel van Biezen291views1rank
05:18Physics - Thermodynamics: Temperature (1 of 4) Thermal Linear Expansion: DefinitionMichel van Biezen251views
03:51Physics - Thermodynamics: Temperature (2 of 4) Thermal Linear Expansion: Example 1Michel van Biezen309views
Multiple ChoiceOn a very cold day at a temperature of –12°C, a power line made of aluminum between two support towers measures exactly 150.56m. You go out on a hot day and measure the power line to be exactly 150.71m. What is the temperature (in °C) outside? The linear expansion coefficient of aluminum is 2.4×10-5.548views12rank
Multiple ChoiceAn aluminum rod is exactly 80.00cm long on a day when the temperature was 24.00°C. How long is the rod on a day when it is only 2.000°C? Use 2.3×10−5°C−1 for the coefficient of linear expansion for aluminum.290views
Textbook QuestionSteel train rails are laid in 12.0-m-long segments placed end to end. The rails are laid on a winter day when their temperature is -9.0°C. (a) How much space must be left between adjacent rails if they are just to touch on a summer day when their temperature is 33.0°C?626views
Textbook QuestionAs a new mechanical engineer for Engines Inc., you have been assigned to design brass pistons to slide inside steel cylinders. The engines in which these pistons will be used will operate between 20.0°C and 150.0°C. Assume that the coefficients of expansion are constant over this temperature range. (a) If the piston just fits inside the chamber at 20.0°C, will the engines be able to run at higher temperatures? Explain470views
Textbook QuestionOne of the tallest buildings in the world is the Taipei 101 in Taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the temperature was 15.5°C. You could use the building as a sort of giant thermometer on a hot summer day by carefully measuring its height. Suppose you do this and discover that the Taipei 101 is 0.471 foot taller than its official height. What is the temperature, assuming that the building is in thermal equilibrium with the air and that its entire frame is made of steel?1060views
Textbook QuestionThe 828-m-tall Burj Khalifa in Dubai is the world's tallest building. It's essentially a steel building wrapped in exterior paneling and glass. During construction, when the beams were exposed to the elements, the building was 36 cm taller on the hottest afternoon of the year than on the coldest morning. By how much did the temperature vary throughout the year?732views
Textbook QuestionAt room temperature (20°C), a 5.0-cm-long brass rod is 20 μm too long to fit into a slot. To what temperature should you cool the rod so that it just barely fits?618views
Textbook QuestionA surveyor has a steel measuring tape that is calibrated to be 100.000 m long (i.e., accurate to ±1 mm) at 20°C. If she measures the distance between two stakes to be 65.175 m on a 3°C day, does she need to add or subtract a correction factor to get the true distance? How large, in mm, is the correction factor?368views
Textbook Question(I) A concrete highway is built of slabs 14 m long at 15°C. How wide should the expansion cracks between the slabs be (at 15°C) to prevent buckling if the range of temperature is - 30° C to + 50° C?145views
Textbook Question(II) To what temperature would you have to heat a brass rod for it to be 1.5% longer than it is at 22°C?118views
Textbook Question(II) A brass plug is to be placed in a ring made of iron. At 15°C, the diameter of the plug is 8.756 cm and that of the inside of the ring is 8.742 cm. They must both be brought to what common temperature in order to fit?133views
Textbook Question(a) A horizontal steel I-beam of a cross-sectional area of 0.041 m² is rigidly connected to two fixed vertical supports. If the beam was installed when the temperature was 25°C(b) Is the ultimate strength of the steel exceeded?106views
Textbook Question(I) The Eiffel Tower (Fig. 17–20) is built of wrought iron approximately 300 m tall. Estimate how much its height changes between January (average temperature of 2°C) and July (average temperature of 25°C). Ignore the angles of the iron beams and treat the tower as a vertical beam.<IMAGE>111views
Textbook QuestionIf a steel band were to fit snugly around the Earth’s equator at 25°C but then was heated to 55°C, how high above the Earth would the band be (assume equal everywhere)?101views
Textbook Question"(II) An aluminum bar has the desired length when at 12°C. How much stress is required to keep it at this length if the temperature increases to 38°C? [See Table 12–1.]<IMAGE>"116views
Textbook QuestionA precise steel tape measure has been calibrated at 14°C. At 37°C, (b) what will be the percentage error?116views
Textbook QuestionA copper wire sags 54.0 cm between two utility poles 30.0 m apart when the temperature is -15° C . Estimate the amount of sag when the temperature is + 35° C . [Hint: An estimate can be made by assuming the shape of the wire is approximately an arc of a circle; hard equations can sometimes be solved by guessing values.]85views
Textbook QuestionThe first real length standard, adopted more than 200 years ago, was a platinum bar with two very fine marks separated by what was defined to be exactly one meter. If this standard bar was to be accurate to within ± 1.0 μm , how carefully would the trustees have needed to control the temperature? The coefficient of linear expansion is 9 x 10⁻⁶/ C° .14views
Textbook Question(III) A barrel of diameter 134.122 cm at 20°C is to be enclosed by an iron band. The circular band has an inside diameter of 134.110 cm at 20°C. It is 9.4 cm wide and 0.65 cm thick. (a) To what temperature must the band be heated so that it will fit over the barrel? (b) What will be the tension in the band when it cools to 20°C ?114views
Textbook QuestionAn iron cube floats in a bowl of liquid mercury at 0°C. (b) By what percent will the fraction of volume submerged change? [Hint: See Chapter 13.]103views
Textbook Question(c) What stress is developed if the concrete beam has a cross-sectional area of 0.15m²? Will it fracture?34views
Textbook QuestionA brass lid screws tightly onto a glass jar at 15°C. To help open the jar, it can be placed into a bath of hot water. After this treatment, the temperatures of the lid and the jar are both 55°C. The inside diameter of the lid is 7.0 cm. Find the size of the gap (difference in radius) that develops by this procedure.96views
Textbook Question(II) If a fluid is contained in a long narrow vessel so it can expand in essentially one direction only, show that the effective coefficient of linear expansion α is approximately equal to the coefficient of volume expansion β.105views
Textbook Question(II) To make a secure fit, rivets that are larger than the rivet hole are often used and the rivet is cooled (usually in dry ice) before it is placed in the hole. A steel rivet 1.872 cm in diameter is to be placed in a hole 1.870 cm in diameter in a metal at 24°C. To what temperature must the rivet be cooled if it is to fit in the hole?102views
Textbook QuestionA brass rod is 185 cm long and 1.60 cm in diameter. What force must be applied to each end of the rod to prevent it from contracting when it is cooled from 120.0°C to 10.0°C?742views
Textbook Question(III) (a) Determine a formula for the change in surface area of a uniform solid sphere of radius r if its coefficient of linear expansion is α (assumed constant) and its temperature is changed by ∆T .
Textbook Question(III) The pendulum in a grandfather clock is made of brass and keeps perfect time at 17°C. How much time is gained or lost in a year if the clock is kept at 26°C? (Assume the frequency dependence on length for a simple pendulum applies; see Chapter 14.)82views
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