FIGURE 17-2
-A bolt hole 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°.)

Question

FIGURE 17-2 FIGURE 17-2 -A bolt hole 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<sup>-</sup><sup>6</sup> /C°.) A) 1.205 cm B) 1.125 cm C) 1.195 cm D) 1.200 cm E) 1.210 cm

FIGURE 17-2 -A bolt hole 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<sup>-</sup><sup>6</sup> /C°.) A) 1.205 cm B) 1.125 cm C) 1.195 cm D) 1.200 cm E) 1.210 cm

-A bolt hole 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°.)

Quizplus · Accepted Answer

The diameter of the hole will increase as the plate is heated. The change in diameter can be calculated using the formula:Δd = d * α * ΔTwhere:Δd is the change in diameterd is the original diameterα is the coefficient of linear thermal expansionΔT is the change in temperaturePlugging in the given values, we get:Δd = 1.200 cm * 19 × 10^-6 /C° * (220°C - 20°C)Δd = 0.00576 cmTherefore, the new diameter of the hole will be:d + Δd = 1.200 cm + 0.00576 cmd = 1.20576 cmThe closest answer choice is A) 1.205 cm.

FIGURE 17-2 -A Bolt Hole in a Brass Plate Has a Diameter