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(6) An aluminum tube is 30000m long at 200C. What is its length at (a) 1000C and (b) OoC?

(6) An aluminum tube is 30000m long at 200C. What is its length at (a) 1000C and (b) OoC?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 49E
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Thermal expansion (6) An aluminum tube is 30000m long at 200C. What is its length at (a) 1000C and (b) OoC? (7) What is the change in length of a rod made up of 2000m of copper and 1000m of aluminum placed end to end as it moved from an ice water bath to a steam bath? (8) A structural steel l-beam is 15m long when installed at 200C. How much will its length change over the temperature extremes -30OC to 500C? ANS. 1.32cm (9) A metal rod made of some alloy is to be used as a thermometer. At OoC its length is 40000cm, and at 1000C its length is 40060cm. (a) What is the linear expansion coefficient of the alloy? (b) what is the temperature when its length is 39975cm? (10) A hole with diameter of 2cm is drilled through a stainless steel pate at room temperature (200C). By what fraction (Dr/r) will the hole be larger when the plate is heated to 1500C? (11) Calculate the fractional change in volume (Dv/v) of an aluminum bar that undergoes a change in temperature of 300C.
Transcribed Image Text:Thermal expansion (6) An aluminum tube is 30000m long at 200C. What is its length at (a) 1000C and (b) OoC? (7) What is the change in length of a rod made up of 2000m of copper and 1000m of aluminum placed end to end as it moved from an ice water bath to a steam bath? (8) A structural steel l-beam is 15m long when installed at 200C. How much will its length change over the temperature extremes -30OC to 500C? ANS. 1.32cm (9) A metal rod made of some alloy is to be used as a thermometer. At OoC its length is 40000cm, and at 1000C its length is 40060cm. (a) What is the linear expansion coefficient of the alloy? (b) what is the temperature when its length is 39975cm? (10) A hole with diameter of 2cm is drilled through a stainless steel pate at room temperature (200C). By what fraction (Dr/r) will the hole be larger when the plate is heated to 1500C? (11) Calculate the fractional change in volume (Dv/v) of an aluminum bar that undergoes a change in temperature of 300C.
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