AL = β ΔΤ = aAT L Schmedrick takes his dune buggy to the gas station and fills it up to the very brim. His tank is a steel cylinder of radius 23 cm and height 45 cm (big enough to hold about 20 gallons). He burns a liter of gas getting to the beach, where both the tank and the gas heat up by 20 °C. Both the tank and the gas expand. For steel a= 1.1· 10/°C. For gasoline ß= 9.6· 104/°C. Does the tank overflow? 1. Use the linear expansion formula to calculate the increase in radius Activity 2 %3D Hints. %3D of the tank: 5.06 ·10 cm 2. Use the linear expansion formula to calculate the increase in height of the tank: 9.9 10 cm ст 3. For a cylinder, V = ar?h. Calculate the increase in volume of the %3D tank: 49.3694 cm³
AL = β ΔΤ = aAT L Schmedrick takes his dune buggy to the gas station and fills it up to the very brim. His tank is a steel cylinder of radius 23 cm and height 45 cm (big enough to hold about 20 gallons). He burns a liter of gas getting to the beach, where both the tank and the gas heat up by 20 °C. Both the tank and the gas expand. For steel a= 1.1· 10/°C. For gasoline ß= 9.6· 104/°C. Does the tank overflow? 1. Use the linear expansion formula to calculate the increase in radius Activity 2 %3D Hints. %3D of the tank: 5.06 ·10 cm 2. Use the linear expansion formula to calculate the increase in height of the tank: 9.9 10 cm ст 3. For a cylinder, V = ar?h. Calculate the increase in volume of the %3D tank: 49.3694 cm³
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Transcribed Image Text:AL
= a AT
Activity 2
= BAT
%3D
Schmedrick takes his dune buggy to the gas station and fills it
the very brim. His tank is a steel cylinder of radius 23 cm and height
45 cm (big enough to hold about 20 gallons). He burns a liter of gas
getting to the beach, where both the tank and the gas heat up by 20 °C.
Both the tank and the gas expand. For steel a = 1.1· 10$/°C. For
gasoline B = 9.6- 104/°C. Does the tank overflow?
1. Use the linear expansion formula to calculate the increase in radius
of the tank:
up
to
Hints.
5.06 · 103 cm
2. Use the linear expansion formula to calculate the increase in height
of the tank:
9.9 ·103 cm
3. For a cylinder, V = ar?h. Calculate the increase in volume of the
tank:
4. Calculate the volume of gasoline at the beach before expansion.
(1 cm³ = 1 mL): 73 785.613 cm³
5. Use the volume expansion formula to calculate the increase in
volume of the gasoline: 1416.684 cm³
6. Conclusion: Schmed will be kicked out for spilling gas at the beach!
%3D
49.3694 cm³
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