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 thata) 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 thata) 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.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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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.
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