A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod of a different metal and of the same length expands by 0.045 cm for the same rise in temperature. A third rod, also 30 cm long, is made up of pieces of each of the above metals joined end to end, and expands 0.065 cm when its temperature is raised also from 0°C to 100°C. Find the original length of each portion of the composite rod. Hint: Use the expansion formula, one equation for each type of rod and another equation for the composite rod.
A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod of a different metal and of the same length expands by 0.045 cm for the same rise in temperature. A third rod, also 30 cm long, is made up of pieces of each of the above metals joined end to end, and expands 0.065 cm when its temperature is raised also from 0°C to 100°C. Find the original length of each portion of the composite rod. Hint: Use the expansion formula, one equation for each type of rod and another equation for the composite rod.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
Problem 19PQ
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A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod of a different metal and of the same length expands by 0.045 cm for the same rise in temperature. A third rod, also 30 cm long, is made up of pieces of each of the above metals joined end to end, and expands 0.065 cm when its temperature is raised also from 0°C to 100°C. Find the original length of each portion of the composite rod.
Hint: Use the expansion formula, one equation for each type of rod and another equation for the composite rod.
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