50. How much taller does the Eiffel Tower become at the end of a day when the temperature has increased by 15 °C? Its original height is 321 m and you can assume it is made of steel. 51. What is the change in length of a 3.00-cm-long column of mercury if its temperature changes from 37.0 °C to 40.0 °C, assuming the mercury is constrained to a cylinder but unconstrained in length? Your answer will show why thermometers contain bulbs at the bottom instead of simple columns of liquid. 52. How large an expansion gap should be left between steel railroad rails if they may reach a maximum temperature 35.0 °C greater than when they were laid? Their original length is 10.0 m.

50. How much taller does the Eiffel Tower become at the end of a day when the temperature has increased by 15 °C? Its original height is 321 m and you can assume it is made of steel. 51. What is the change in length of a 3.00-cm-long column of mercury if its temperature changes from 37.0 °C to 40.0 °C, assuming the mercury is constrained to a cylinder but unconstrained in length? Your answer will show why thermometers contain bulbs at the bottom instead of simple columns of liquid. 52. How large an expansion gap should be left between steel railroad rails if they may reach a maximum temperature 35.0 °C greater than when they were laid? Their original length is 10.0 m.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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1. You are looking to purchase a small piece of land in Hong Kong. The price is "only" $ 62000 per square meter! The land title says the dimensions are 21 m x 30 m. By how much would the total price change if you measured the parcel with a steel tape measure on a day when the temperature was 20 °C above normal? The coefficient of linear exapansion of steel is a = 1.2x10-5/°C. The price by $ increases decreases
8. Consider a cubical building with sides of length 7 m. The walls are made of concrete with a thickness of 0.25 m and thermal conductivity of 0.8 W/m · °C. The temperature outside is Tout = -5 °C, while the temperature inside is Tin = 20 °C. How much energy (in joules) must the heating system provide in 12 hours to maintain the inside temperature constant? Assume heat cannot escape through the floor. In other words, assume that heat escapes through only five sides of the cube. Show your work.
14. A commonly used method of fastening one part to another part is called "shrink fitting." A steel rod has a diameter of 2.0026 cm, and a flat plate contains a hole whose diameter is 2.0000 cm. The rod is cooled so that it just fits into the hole. When the rod warms up, the enormous thermal stress exerted by the plate holds the rod securely to the plate. By how many Celsius degrees should the rod be cooled?
1. Railroad rails made of steel, each 20 meters long are laid end to end at 30°C. If the daytime temperature reaches 40°C, what gap must be maintained between successive rails to prevent bending? 2. Two thin rods of the same diameter and made of brass and of steel are to support a frame horizontally. The brass rod is 0.6 m. How long should the steel rod be so that they will have the same length when the temperature changes from 25°C to 36°C?
3. A barrel of diameter 134.132cm at 25°C is to be enclosed by an iron band. The circular band has an inside diameter of 134.100cm at 25°C. It is 7.4cm 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 25°C?
9. A square plate has an area of 29.00 cm² at 20.0°C. It will be used in a low temperature experiment at T = 10.0K where it must have an area of 28.00 cm². What area must be removed from the plate at 20.0°C for it to have the correct area at 10.0 K? (The coefficient of linear expansion is 10 x 10-6 (°C)¯1.) A) 0.841 cm² B) 0.0793 cm² C) 0.159 cm? D) 0.238 cm² E) 0.921 cm²
4. A shower is 11.0 m from the hot water heater. The copper pipe has a radius of 1.11 cm and a thickness of 2.3 mm. A) If the hot water is at a temperature of 50°C and the room temperature is 18°C, what is the rate of heat loss through the pipe? B) How much energy is lost for a 10 minute shower?
3. A spherical brass shell has an interior volume of 1.70 × 10¬³ m³. Within this interior volume is a solid steel ball that has a volume of 5.00 x 10-4 m3. The space between the steel ball and the inner surface of the brass shell is filled -3 completely with mercury. A small hole is drilled through the brass, and the temperature of the arrangement is increased by 11 °C. What is the volume of the mercury that spills out of the hole? m3 f60s of60 ssi
4. A circular copper ring at 20.0°C has a hole with an area of 9.980 cm². (a) What minimum temperature must it have so that it can be slipped onto a steel rod having a cross-sectional area of 10.000 cm²? (b) Suppose the ring and the rod are heated simultaneously. What minimum change in tem- perature of both will allow the ring to be slipped onto the end of the rod? Copper coefficient of linear expansion: 17×10-(°C)-1 Steel coefficient of linear expansion: 11x10-°(°C)-i 5. Your 300 mL cup of coffee is too hot to drink when served at 90 °C. What is the mass of an ice cube, taken from -20 °C freezer that will cool your coffee to a pleasant 60 °C? Specific heat capacity of ice = 2090 J/kgK. Latent heat for fusion = 330000 J/kq
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1. A steel beam used in the construction of a bridge is 9.2 m long at 20 °C. On a hot summer day, the temperature increases to 40 °C. What is the change in length due to línear expansion? The coefficient of linear expansion for steel is 11 x 10-6/°C.
3. A 3.2 m length of copper pipe extends directly from a hot-water heater in a basement to a faucet on the first floor of a house. If the faucet isn't fixed in place, how much will it rise when the pipe is heated from 20.0° C to 85.9° C. The coefficient of linear expansion for copper is 1.6*10-5 K−1.