Question:

Thermal expansion help?

1.)The underside of all US space shuttle orbiters were covered in lightweight, ceramic insulating tilesThese 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 ℃What is the approximate coefficient of thermal expansion of these tiles?2.)A 64 liter gas tank is filled completely at 15 ℃How much gasoline overflows, if the tank heats up to 35 ℃ while the car is parked in direct sunlight?3.)A steel bridge is built in several segments, each 20 m longThe gap between segments is 4 cm at 18 ℃What is the maximum temperature that the bridge can manage before buckling?4.)How much taller is the Eiffel Tower on the hottest day of the summer (25 ℃) than the coldest day of the winter (2 ℃)? The tower is 324 m tall measured from the top of the flagpoleAssume the tower is built of structural steel.

Answer:

I then awoke from my nonsensical dream and took my tyrannosaur for his morning walkHe only ate two people today, so I gave him a treat.
The equation is Change in size initial size change in temp expansion coefficient Where the size can mean length, area, or volume and the expansion coefficient is given accordingly1.)The underside of all US space shuttle orbiters were covered in lightweight, ceramic insulating tilesThese 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 ℃What is the approximate coefficient of thermal expansion of these tiles? Each tile can expand 1.5 mm before they start deforming or coming offAssuming room temperature means 20 °C 0.15 cm (15 cm) (1240 °C) α The tiles can expand a hundredth (0.15/15) of their length for a change in temperature of 1240 °CSo the fraction for a single degree celsuis is α (1/100) / 1240°C 8.1×10^-6 °C^-1

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