Question

1. It’s a hot summer day, and your wood bedroom door won’t close. It is 77° F in your bedroom, and the door is 0.40 mm too wide for the width of the door frame. The coefficient of linear expansion of oak is 38 x 10^-6 °C^-1. Assume that the coefficient of volume expansion of oak is three times the coefficient of linear expansion.
   1. What is the temperature of your bedroom in degrees Celsius? Please show your work while doing the conversion.
   2. What is the temperature your room (and the wood door) will have to cool down to in order for the door to just fit inside the door frame, which has a width of 0.90 m? Express your answer in both degrees Celsius and degrees Fahrenheit.
   3. If the door is 2.0 m tall and 0.024 m thick when its width just fits inside the door frame, what is the door’s volume when it is 77° F in your bedroom? Since the door expands in all three dimensions, you will need to use the equation for volume expansion to solve this problem.

Answer 1

for any discrepancy in answer please ask in comment box , thank you.