A farmer making grape juice fills a glass bottle to the brim and caps it tightly. After capping, the juice and bottle warm up and expand. The juice’s thermal expansion is greater than the glass’s thermal expansion. The juice’s volume increases more than the bottle’s volume increases. Take the bulk modulus of the juice to be N/m2 and calculate the force exerted per square centimeter by the juice on the bottle.
A brass rod that is at a temperature of has a length of 1.12 m and a diameter of 0.6700 cm. The rod is fixed at both of its ends and then its temperature is increased, creating a compressive force along the length of the rod. Determine the temperature at which the rod will be subject to a force of 28.0 kN. Use a value of Pa for the Young’s modulus of brass and use a value of for the linear thermal expansion coefficient of brass. Assume that any change in the radius of the rod due to thermal expansion is negligible.
A physicist makes cm3 of instant coffee, which he pours into a cup that has a radius of 10.00 cm. As the coffee cools from a temperature of to , the physicist notices that the vertical height of the column of coffee decreases by 4.50 mm. Determine what percent of the decrease of the height of the column of coffee is due to the thermal contraction of the coffee. Use a value of for the coefficient of volumetric expansion of the coffee.