Two measuring tapes, one made from aluminum and the other from steel, both record the same correct measurement of a one-meter-long object at a temperature of 20°C. To what temperature must you raise their environment for them to disagree on the length of this object by 3.0 mm? Assume the length of the object being measured does not change appreciably, and take the coefficients of linear expansion of aluminum and steel to be 23 x 10-6 1/°C and 11 x 10-6 1/°C respectively.

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Answer is 272 degrees celsius please show work how thank you. 

Two measuring tapes, one made from
aluminum and the other from steel, both record the same correct measurement of a
one-meter-long object at a temperature of 20°C. To what temperature must you raise
their environment for them to disagree on the length of this object by 3.0 mm?
Assume the length of the object being measured does not change appreciably, and take
the coefficients of linear expansion of aluminum and steel to be 23 x 10-6 1/°C and
11 x 10-6 1/°C respectively.
Transcribed Image Text:Two measuring tapes, one made from aluminum and the other from steel, both record the same correct measurement of a one-meter-long object at a temperature of 20°C. To what temperature must you raise their environment for them to disagree on the length of this object by 3.0 mm? Assume the length of the object being measured does not change appreciably, and take the coefficients of linear expansion of aluminum and steel to be 23 x 10-6 1/°C and 11 x 10-6 1/°C respectively.
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