For questions (1) – (8) use the following information. You have measured the length of a table to be 205.0 cm, 205.8 cm, 205.4 cm, 204.6 cm, and 204.9 cm five independent times. You measured the width of the same table to be 60.1 cm, 60.4 cm, 60.2 cm, 60.0 cm, and 60.5 cm five independent times. 1) Calculate the mean length L of the table. 2) Calculate the standard deviation of the mean length σ of the table. 3) Calculate the mean width W of the table. 4) Calculate the standard deviation of the mean width ow of the table. 5) Calculate the area A = L x W of the table. 6) Using the correct equation for propagation of error, calculate the uncertainty of the area OA of the table. 7) Calculate the perimeter P = 2L + 2W of the table. 8) Using the correct equation for propagation of error, calculate the uncertainty of the perimeter op of the table. 9) Report the mean length, mean width, area, and perimeter including their uncertainties in the correct format discussed above.

University Physics Volume 1
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Chapter1: Units And Measurement
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For questions (1) – (8) use the following information. You have measured the length
of a table to be 205.0 cm, 205.8 cm, 205.4 cm, 204.6 cm, and 204.9 cm five
independent times. You measured the width of the same table to be 60.1 cm, 60.4 cm,
60.2 cm, 60.0 cm, and
60.5 cm five independent times.
1) Calculate the mean length L of the table.
2) Calculate the standard deviation of the mean length σ of the table.
3) Calculate the mean width W of the table.
4) Calculate the standard deviation of the mean width ow of the table.
5) Calculate the area A = L x W of the table.
6) Using the correct equation for propagation of error, calculate the uncertainty of the area
OA of the table.
Transcribed Image Text:For questions (1) – (8) use the following information. You have measured the length of a table to be 205.0 cm, 205.8 cm, 205.4 cm, 204.6 cm, and 204.9 cm five independent times. You measured the width of the same table to be 60.1 cm, 60.4 cm, 60.2 cm, 60.0 cm, and 60.5 cm five independent times. 1) Calculate the mean length L of the table. 2) Calculate the standard deviation of the mean length σ of the table. 3) Calculate the mean width W of the table. 4) Calculate the standard deviation of the mean width ow of the table. 5) Calculate the area A = L x W of the table. 6) Using the correct equation for propagation of error, calculate the uncertainty of the area OA of the table.
7) Calculate the perimeter P = 2L + 2W of the table.
8) Using the correct equation for propagation of error, calculate the uncertainty of the
perimeter op of the table.
9) Report the mean length, mean width, area, and perimeter including their
uncertainties in the correct format discussed above.
Transcribed Image Text:7) Calculate the perimeter P = 2L + 2W of the table. 8) Using the correct equation for propagation of error, calculate the uncertainty of the perimeter op of the table. 9) Report the mean length, mean width, area, and perimeter including their uncertainties in the correct format discussed above.
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