The friction velocity F of water flowing through a pipe is given by
, where g is the acceleration due to gravity, d is the diameter of the pipe, l is the length of the pipe, and his the head loss. Estimate F, and find the uncertainty in the estimate, assuming that
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.
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