The height of the Washington Monument is measured to be 170.00 m on a day when the temperature is .
What will its height be on a day when the temperature falls to ? Assume that the monument’s coefficient of thermal expansion is .
You are looking to buy a small piece of land in Hong Kong. The price is “only” per square meter. The land title says the dimensions are 20 m by 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 above the temperature that the tape measure was designed for? The dimensions of the land do not change. The coefficient of thermal expansion of steel is .
A volume of mercury is contained in a tall, thin, cylinder. The mercury fills the cylinder to a height of 3.0 cm and is at a temperature of . If the mercury is heated to a temperature of , how much does the height of the column of mercury increase? Use a value of for the linear coefficient of expansion of mercury.
Most cars have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot. A radiator is made of copper and is filled to its 16.0-L capacity when at . What volume of radiator fluid will overflow when the radiator and fluid reach a temperature of given that the fluid’s volume coefficient of expansion is and copper’s volume coefficient of expansion is ?
Find the stress exerted on a steel beam along its length if the beam has no lengthwise space to expand into and its temperature increases from to . Use a value of for the Young’s modulus of steel and use a value of for the coefficient of thermal expansion of steel. Ignore any change in the cross-sectional area of the beam due to heating.