Two concrete spans of a 160 m long bridge are placed end to end so that no room is allowed for expansion. T 160 m- T+20°C Y If the temperature increases by 20°C, what is the height to which the spans rise when they buckle? Assume the thermal coefficient of expansion is 1.2 x 10-5 (°C)-¹. Answer in units of m.
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- A 1.0-m-long steel beam, initially at a temperature of 250 C, increases in temperature to 1000 C by inserting it into an insulating jacket for several minutes while the inside of the jacket is subsequently flooded with steam. By how much does the length of the steel beam expand? (The thermal coefficient of linear expansion for steel is 12 x 10-6 (C0)-1) a. 0.90 mm b. 1.0 mm c. 0.70 mm d. 0.80 mm e. 0.60 mmY NOTES ASK YOUR TEACHER A container made of steel, which has a coefficient of linear expansion 11 x 10−6 (°C)−¹, has a volume of 57.5 gallons. The container is filled to the top with carbon tetrachloride, which has a coefficient of volume expansion of 5.8 x 10-4 (°C) -¹, when the temperature is 10.0°C. If the temperature rises to 25.5°C, how much carbon tetrachloride (in gal) will spill over the edge of the container? X Note that both the liquid and the steel container will expand with higher temperature. What is the new total volume of the carbon tetrachloride? What is the new volume of the steel container? What is the difference in these volumes? How is the coefficient of volume expansion of a material related to its coefficient of linear expansion? gal Need Help? Submit Answer Read ItA brass ring has an inner diameter exactly 4.000 cm and outer diameter exactly 4.050 cm at 20⁰C. It is to be fitted over an Aluminum rod of diameter exactly 4.004 cm. To what temperature must the aluminum rod be cooled down to, so that the ring just fits over it? Thermal expansion coefficients: Aluminum = 24.0 x 10-6 /ºC: Brass = 19.0 x 10-6 /ºC. details explanation, please
- Metal rod A is 30.0 cm long and expands by 0.0650 cm when its temperature is raised from 0.00°C to100.0°C. Metal rod B of the same length expands by 0.0350 cm for the same rise in temperature. What are their linear coefficient of thermal expansions?Problem 4: The height of the Washington Monument is measured to be 170 m on a day when the temperature is 35.0°C. Assume its thermal coefficient of linear expansion is 2.5 x 10-6/°C. What will its height be, in meters, on a day when the temperature falls to –10.0°C? h =A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 27°C. (a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (Give your answer to at least four significant figures.) mm (b) If a pendulum's period is given by T = 2√/L/g, where L is its length, does the change in length of the rod cause the clock to run fast or slow? O fast O slow Oneither
- An aluminum cup of 93 cm³ capacity is completely filled with glycerin at 19°C. How much glycerin will spill out of the cup if the temperature of both the cup and glycerin is increased to 39°C? (The linear expansion coefficient of aluminum is 23 × 10-6 1/C°. The coefficient of volume expansion of glycerin is 5.1 × 10-41/Cº.) Number Mi UnitsAn aluminium ring with a hole having area 4.02 cm² is to be shrink fitted on a steel rod with cross sectional area of 4.04 cm2. Both rod and ring were initially measure at a temperature of 35.0 °C. At what common temperature will the aluminium ring be exactly the same size as the steel rod? The measured coefficient of thermal expansion of steel is 11.0x10-6 K1 and the measured coefficient of thermal expansion of aluminium is 24.0x10-6 x-1.A metal rod had a coefficient of linear expansion α = 1.5 x 10-5 1/K. It has a starting length of 210 cm. When the temperature changes from 25 °C to 55 °C, by how much does the length of the rod change, in cm?
- A. find the increase in length of 12 m of copper wire wh it's temperature increases from 4°C to 34°C the linear coefficient of expansion for copper is 1.7x10^-5 /°CYou pour 998.00 cm3 of liquid mercury into a 1000.00 cm3-flask when both the mercury and the glass are at 4.0 ◦C. Determine the maximum temperature you can heat the system to (to the thousandth of a degree Celsius) before the mercury overflows. The mercury has a coefficient of volume expansion of 18.0 × 10−5◦C^−1 and the glass of the flask has a coefficient of volume expansion of 1.8 × 10−5◦C^ −1.Thank u! A steel sphere with radius 1.0010 cm at 34.0°C must slip through a brass ring that has an internal radius of 1.0000 cm at the same temperature. To what temperature must the brass ring be heated so that the sphere, still at 34.0°C, can just slip through? Coefficient of linear expansion a for brass is 19.0 x 10^-6 K^-1