Thermal expansion: The hole for a bolt in a brass plate has a diameter of 1.200 cm at 20°C. What is the diameter of the hole when the plate is heated to 220°C? The coefficient of linear thermal expansion for brass is 19 × 10^-6/°C. (Express your answer to 4 significant figures.)

Question

Quizplus · Accepted Answer

The diameter of the hole increases due to thermal expansion, calculated using the formula ΔL = L0αΔT, where ΔL is the change in length (diameter in this case), L0 is the original length (1.200 cm), α is the coefficient of thermal expansion (19 × 10^-6 /°C), and ΔT is the change in temperature (220°C - 20°C = 200°C). Solving gives a new diameter of approximately 1.205 cm.

Thermal Expansion: the Hole for a Bolt in a Brass