Question

The friction velocity F of water flowing through a pipe is given by F = √(gdh/4l), where g is the acceleration due to gravity, d is the diameter of the pipe, l is the length of the pipe, and h is the head loss. Estimate F, and find the uncertainty in the estimate, assuming that g = 9.80 m/s² exactly, and that a. d = 0.15 m and l = 30.0 m, both with negligible uncertainty, and h = 5.33 ± 0.02 m. b. h = 5.33 m and l = 30.0 m, both with negligible uncertainty, and d = 0.15 ± 0.03 m. c. d = 0.15 m and h = 5.33 m, both with negligible uncertainty, and l = 30.00 ± 0.04 m.

          The friction velocity F of water flowing through a pipe is given by F = √(gdh/4l), where g is the acceleration due to gravity, d is the diameter of the pipe, l is the length of the pipe, and h is the head loss. Estimate F, and find the uncertainty in the estimate, assuming that
g = 9.80 m/s² exactly, and that
a. d = 0.15 m and l = 30.0 m, both with negligible uncertainty, and h = 5.33 ± 0.02 m.
b. h = 5.33 m and l = 30.0 m, both with negligible uncertainty, and d = 0.15 ± 0.03 m.
c. d = 0.15 m and h = 5.33 m, both with negligible uncertainty, and l = 30.00 ± 0.04 m.

Added by Fernando T.

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