Posted by **tony** on Friday, April 22, 2011 at 6:35am.

A glass window pane is exactly 23 cm by 38 cm at 10oC. By how much has its area increased when it temperature is 49oC, assuming that it can expand freely? Take the coefficient of thermal expansion for the glass to be exactly 9 x 10-6/Co

- physics -
**drwls**, Friday, April 22, 2011 at 6:46am
Area increases by a factor equal to the square of the length increase factor.

Old area = 23 x 38 = 874 cm^2

New area = (Old area)*(1 + 39*9*10^-6)^2

= 874*(1.000351)^2

= 874.61 cm^2

For small fractional increases such as we have here, the Area increase factor is very nearly twice the Length increase factor.

Anew/Aold = (1 + 2*39*9*10^-6)

## Answer This Question

## Related Questions

- physics - A glass window pane is exactly 23 cm by 38 cm at 10oC. By how much has...
- Physics - A glass window pane has an area of 3.50 m2 and a thickness of 0.600 cm...
- physics - A glass window pane has an area of 3.00 m2 and a thickness of 0.600 cm...
- precalc - The cost of manufacturing a semi-circular window is the cost of the ...
- physics - Dispersion in a window pane. In the figure on the left, a beam of ...
- physics - A window has a glass surface of 2686 cm2 and a thickness of 7.4 mm. ...
- physics - A glass window pane has an area of 3.50 m2 and a thickness of 0.600 cm...
- Physics - Use the exact values you enter in previous answer(s) to make later ...
- physics 4**!! - Consider a double-paned window consisting of two panes of glass...
- Math - Mario broke a pane of glass in a window.The opening measured 7 and 1/4 ...

More Related Questions