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.) A)1.205 cm B)1.125 cm C)1.195 cm D)1.200 cm E)1.210 cm

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Quizplus · Accepted Answer

The diameter of the hole at the new temperature can be calculated using the formula for linear expansion: ΔL = L0 * α * ΔT, where ΔL is the change in length (diameter in this case), L0 is the original length (1.200 cm), α is the coefficient of linear expansion (19 × 10^-6 /°C), and ΔT is the change in temperature (220°C - 20°C = 200°C). Calculating ΔL gives us ΔL = 1.200 * 19 * 10^-6 * 200 = 0.00456 cm. Adding this change to the original diameter gives 1.200 cm + 0.00456 cm = 1.20456 cm, which rounds to 1.205 cm.

The Hole for a Bolt in a Brass Plate Has