Asked by angela
The height of the Washington Monument is measured to be 170 m on a day when its temperature is 35.0°C. What will the change in its height be on a day when its temperature falls to -12.0°C? Although the monument is made of limestone, take the thermal coefficient of expansion to be that of marble.
(answer to be in cm)
(answer to be in cm)
Answers
Answered by
Henry
To = 9C/5 + 32 = 9*35/5 + 32 = 95oF.
T = 9*(-12)/5 + 32 = 10.4oF.
a max = 7.9*10^-6/oF.
Change = a*(T-To)ho
7.9*10^-6*(10.4-95)*170 = -11.36 cm.
Change = 11.36 cm decrease
T = 9*(-12)/5 + 32 = 10.4oF.
a max = 7.9*10^-6/oF.
Change = a*(T-To)ho
7.9*10^-6*(10.4-95)*170 = -11.36 cm.
Change = 11.36 cm decrease
Answered by
Dana
Change = coefficient*Length*Difference in Temp
(2.5*10^-6)*170*(-12-35) = -.019975 meters
-.0199m = -1.99cm
(2.5*10^-6)*170*(-12-35) = -.019975 meters
-.0199m = -1.99cm
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