Problem 4: The friction velocity F of water flowing through a pipe is given by F = ?(g d h / 4 l), 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/s^2 exactly, and that 1) d = 0.20 m and l = 35.0 m, both with negligible uncertainty, and h = 4.51 ± 0.03 m. 2) h = 4.51 m and l = 35.0 m, both with negligible uncertainty, and d = 0.20 ± 0.008 m. 3) d = 0.20 m and h = 4.51 m, both with negligible uncertainty, and l = 35.00 ± 0.4 m.
Added by -Ngel M.
Close
Step 1
80 m/s², d = 0.20 m, l = 35.0 m, and h = 4.51 ± 0.03 m, we can calculate F: F = (9.80 m/s²)(0.20 m)(4.51 m) / (4)(35.0 m) = 0.1286 m/s Now, we need to find the uncertainty in F. Since the uncertainties in d and l are negligible, we only need to consider the Show more…
Show all steps
Your feedback will help us improve your experience
Sheryl Ezze and 72 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Sri K.
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.
Q3) Water flows through a 10-mm diameter pipe at a flow rate of 1.33x10^4 m/s. Find (a) Velocity of water in the pipe (b) Reynolds Number (Re) for the flow (c) Head loss (hL) due to friction for a length of the pipe. [Physical properties of water: Density = 1000 kg/m^3; Dynamic viscosity = 0.0009 N.s/m^2; g = 9.81 m/s^2] [Equations & Data: Head Loss, hL = (friction factor * (length of pipe * velocity^2))/(2 * g * diameter); Reynolds Number, Re = (density * velocity * diameter)/dynamic viscosity]
Sai S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Watch the video solution with this free unlock.
EMAIL
PASSWORD