# Thermal Expansion Problem #### Storyboard Text

• It sure is hot out here today.﻿
• Yes it is. Did you know that gaps are put on the bridge so that it has room to expand when it gets hot?
• ﻿Really? How does that work?
• Well , suppose the bridge has a gap of 1.3 cm when the temperature is 22 degrees celsius, and the gap narrows to 0.9 cm when the temperature warms to 30 degrees celsius.﻿
• If it's 35 degrees celsius out here now, how wide is the gap in the bridge﻿?
• ﻿The gap would be 0.65 centimeters wide. If it was -10 degrees celsius, the gap would be 2.9 cm wide.
• ﻿Well, I know that the gap width decreases by 0.05 centimeters for each degree celsius when it starts at 2.4 cm.
• How did you figure that out?
• So, that means﻿ that -0.05 represents the change in the gap width over the change in temerapture.
• Yes that's correct!﻿
• So, the gap is closed when it's﻿ 48 degrees celsius, and the gap is 2.4 cm wide when the temperature is 0 degrees celsius.
• The information can also be used to find out what the temperature is when the gap width is 0 cm, and what the gap width is when the temperature is 0 degrees cesius. ﻿
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