In: Physics
The underside of all US space shuttle orbiters were covered in lightweight, ceramic
insulating tiles. These tiles varied in size and shape, but were basically 15 cm squares spaced
1.5 mm apart (at room temperature). They were designed to withstand reentry temperatures
of up to +1260 °C. What is the approximate coefficient of thermal expansion of these tiles?
Coefficient of thermal expansion,
=
L/(L *
T)
Where
L is the change in length for the tile, L is the original length of
the tile and
T is the change in temperature.
Assuming that the temperature inside the shuttle is around
60o,(astronauts are wearing protective suits which
maintain a low temperature compared with the shuttle)
T = 1260 - 60 = 1200oC = 1200 K (change in temperature
in degrees is same as in Kelvins)
L = 1.5 mm = 1.5 * 10-3 m
L = 15 cm = 0.15 m
-------------------------------------
Substituting values,
= (1.5 * 10-3) / (0.15 * 1200)
= 8 * 10-6 K-1