What is the length of an aluminum rod at 65 degrees celcius if its length at 15 degrees celcius is 1.2 meters? My choices are A.0.001386 meters, B.0.00180 meters, C.1.201386 meters, or D. 1.214855 meters. I already sent this question to you about a month ago, but the equation given didn't work, so could someone else help me. Thank You.
The coefficent of linear expansion for aluminum is 23.0 x 10-6/°C.
New length= old length (1+coefficent*(65-15))
New Length= 1.2 (1+ 23.0 x 10-6/°C*50)
One of the answers is correct.
the answers is C.
To find the length of the aluminum rod at 65 degrees Celsius, we can use the formula for linear expansion. The formula is:
New length = old length * (1 + coefficient * (new temperature - initial temperature))
In this case, the initial temperature is 15 degrees Celsius, so the new temperature is 65 - 15 = 50 degrees Celsius.
The coefficient of linear expansion for aluminum is given as 23.0 x 10^(-6) per degree Celsius.
Plugging in the values into the formula, we get:
New length = 1.2 * (1 + (23.0 x 10^(-6) /°C) * 50)
Calculating this expression:
New length = 1.2 * (1 + (23.0 x 10^(-6) /°C) * 50)
= 1.2 * (1 + 0.00000115)
= 1.2 * 1.00000115
= 1.20000138 meters
Therefore, the correct answer is C. 1.201386 meters.