A construction worker uses a steep tape to measure the length of an aluminum support column. If the measured length is 18.700 m when the temperature is 21.2 degrees celcius, what is the measured length when the temperature rises to 29.4 degrees celcius.
I found the increased lengths of the tape and the column, but I'm not sure how to relate them to find the reading on the tape measurer.
never mind. i got it.
how did you get it
To find the measured length on the tape measure when the temperature rises, you need to consider the expansion of both the tape and the column. The tape and the column will expand with an increase in temperature.
To start, you have the initial measured length at 18.700 m when the temperature is 21.2 degrees Celsius.
First, you need to find the change in length of the tape. The change in length of the tape can be calculated using the coefficient of linear expansion. The coefficient of linear expansion for the material of the tape will need to be provided.
Once you have the change in length of the tape, you can add it to the initial measured length to get the final length of the tape.
Next, you need to find the change in length of the column. The change in length of the column can also be calculated using the coefficient of linear expansion. The coefficient of linear expansion for the aluminum will need to be provided.
Once you have the change in length of the column, you can add it to the initial measured length of the column to get the final length of the column.
Finally, you need to consider the final temperature of 29.4 degrees Celsius. Using this temperature and the coefficients of linear expansion, calculate the change in length of both the tape and the column at this new temperature.
Now you can add the change in length of the tape and the change in length of the column to the initial measured length to get the final measured length when the temperature rises to 29.4 degrees Celsius.
Keep in mind that this calculation assumes linear expansion and neglects any other factors such as bending or stretching of the tape measure.