When the temperature of a coin is raised by 80.2 C°, the coin's diameter increases by 2.17 x 10-5 m. If the original diameter is 1.87 x 10-2 m, find the coefficient of linear expansion. Number Units the tolerance is +/-2%
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- A 175.0 km long electric power line made out of copper is installed during the Spring months at an average temperature of 10.9 °C. What is the change in the length of the power line on a hot Summer day, when the temperature is 41.9 °C? The coefficient of linear expansion for copper is 1.62×10-5 1/C°. Use positive sign for an increase in length and negative for a decrease. What is the change in the length of the cable on a -26.9 °C cold Winter day?Consider a wire with a cross-section A and a length L. The Young's modulus is given by: Y = LOF A ƏL T Where F = F(T, L) is the tension in the wire. The linear expansion coefficient is given by: απ 1/ǝL LOT F Give in expression for the change in tension in the wire with temperature in terms of the Young's modulus and the linear expansion coefficient if the wire is kept at a fixed length.A wire lengthens 4% due to thermal expansion when heated from T. to T. If the wire were bent into the shape of a square, what percent increase in length would you expect along one edge of the square? If the wire were bent into the shape of a circle, what percent increase in diameter would you expect? Explain, using sentences and diagrams.
- = A steel rod with a length of I 1.55 m and a cross section of A = 3.04 cm² is held fixed at the end points of the rod. What is the size of the force developing inside the steel rod when its temperature is raised by AT = 25.0 K? The coefficient of linear expansion for steel is a = 1.17x10-5 1/K, and the Young modulus of steel is E = 200.0 GPa. Submit Answer Tries 0/12An aluminum wire is wrapped in rubber insulation. Both are subject to thermal expansion, with the following coefficients of linear expansion: alphaa=24· 10−6 1/C and alphar=8· 10−5 1/C . If the wire and insulation are the same length of 1.85m at a temperature of20.00°C, what is the difference in length (in MILLIMETERS) between the copper wire and the rubber insulation when heated up to a temperature of 189.00°C? Express a magnitude only (no negatives!). ______mm (MILLIMETERS!)We know from Newton's Law of Cooling that the rate at which an object warms up is proportional to the difference between the ambient temperature of the room and the temperature of the object. The differential equation corresponding to this situation is given by y' = k(M – y) where k is a positive constant. The solution to this equation is given by y = M + (yo – M)e-kt , where yo is the initial temperature of the object. Suppose your Thanksgiving turkey is kept at a temperature of 40 degrees Fahrenheit until it is put into a 350 degree Fahrenheit oven. It takes 2 hours for the turkey to warm up to a safe eating temperature of 165 degrees Fahrenheit. Find the values of yo, M, and k, for this situation, rounding your answers to 3 decimal places. Yo= M = k= Regardless of your answers above, suppose the k value in this situation is k = 0.3. Find the initial rate of increase of the turkey's temperature as soon as it is placed in the oven. Round to 3 decimal places. degrees per hour.
- Bob built a scale model of the bridge that is 2.637m long at the lowest temperature (T=-45 degrees Celsius) using an unknown material. When the temperature reaches the highest value (T=43 degrees Celsius), he measures again the length of the bridge finding that it has expanded L=5.56mm. Calculate the coefficient of linear expansion and find the material Bob used to make his model.When the temperature of a coin is raised by 82 °F, the coin's diameter increases by 2.20 x 10-5 m. If the original diameter is 2.15 x 10-2 m, find the coefficient of linear expansion.A steel rod and a bronze rod are heated. At zero degree Celsius, the steel rod has a Ls and the bronze rod has a length of Lb. When the rods are heated or cooled, the difference between their length stays constant at 5.00 cm. Determine the values of Ls and Lb.