Thermal expansion ( 4 points ) Learning Objectives: Apply the formula for linear thermal expansion. The pendulum shaft of a clock is made out of brass. What is the relative change in length of the shaft, when it is heated up from 18.0 .C to 30.0 .C and what is the corresponding change in oscillation period of the clock? [ use coefficient of linear expansion of brass 2.00 . 10-5 1/K ]Heat conduction ( 4 points ) Learning Objectives: Applying formula for heat conduction. a) Calculate the energy loss in watts per square meter through a glass window 4.0 mm thick (thermal conductivity of glass of 0.80 W/(m K) ) if the outside temperature is - 5.0 .C and the inside temperature 21 .C. b) Currently the average inside temperature in public buildings is reduced to 19 .C. What is in this case the energy loss in percent compared to the result in (a)? c) Another window consists of two glass plates with the same specifications as in (a) and an air gap of 1.5 cm between two glass plates (conductivity of air of 0.026 W/(m K)). What is now the rate of energy loss if conduction is the only important energy loss mechanism?Thermal expansion and rotation ( 4 points ) Learning Objectives: Connecting concepts of thermal expansion and rotational motion A solid brass sphere rotates freely around an axis going through its center. When its temperature changes by 300 C - what is the ratio of its rotational frequencies at low and high temperature? [ use coefficient of linear expansion of brass of 2.00 . 10-5 1/K, look up moment of inertia if needed ]Specific Heat ( 4 points ) Learning Objectives: Apply the concept of specific heat to calculate temperature changes. A 90.0 g copper sphere is heated by a flame so that it reaches the temperature of the flame. After that the sphere is put in a container filled with 210 g water at a temperature of 10.0 .C. The sphere cools down and heats the water to 35.0 .C. What temperature had the flame? Neglect the heat capacity of the container. [ use heat capacity of Cu: 0.383 kJ/(kg K), heat capacity water: 4.19 kJ/(kg K)