Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, y (x) is the velocity of the fluid (in cm/sec) and x represents the distance (in cm) from the center of the pipe toward the edge. x 0 1 2 3 4 5 6 7 8 9 v (x) 195.9 195.2 194.2 192.7 190.8 188.4 185.6 182.3 178.6 174.5 Part: 0/4 Part 1 of 4 (a) The pipe is 10 m long (1000 cm). Determine how long it will take fluid to run the length of the pipe through the center of the pipe. Round to 1 decimal place. It will take fluid approximately 5.104 sec to run the length of the pipe through the center of the pipe. Part: 1/4 Part 2 of 4 (b) Determine how long it will take fluid at a point 9 cm from the center of the pipe to run the length of the pipe. Round to 1 decimal place. It will take fluid approximately sec to run the length of the pipe at a point 9 cm from the center of the pipe.
Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, y (x) is the velocity of the fluid (in cm/sec) and x represents the distance (in cm) from the center of the pipe toward the edge. x 0 1 2 3 4 5 6 7 8 9 v (x) 195.9 195.2 194.2 192.7 190.8 188.4 185.6 182.3 178.6 174.5 Part: 0/4 Part 1 of 4 (a) The pipe is 10 m long (1000 cm). Determine how long it will take fluid to run the length of the pipe through the center of the pipe. Round to 1 decimal place. It will take fluid approximately 5.104 sec to run the length of the pipe through the center of the pipe. Part: 1/4 Part 2 of 4 (b) Determine how long it will take fluid at a point 9 cm from the center of the pipe to run the length of the pipe. Round to 1 decimal place. It will take fluid approximately sec to run the length of the pipe at a point 9 cm from the center of the pipe.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Part 3 of 4
(c) Use regression to find a quadratic function to model the data. Use all of the given data points and round each coefficient
to 4 decimal places.
The function is v (x) =
Part: 3/ 4
Part 4 of 4
(d) Use the function v (x) = -0.2205x-0.3917x-195.8655 to predict the velocity of the fluid at a distance 5.5 cm from
the center of the pipe. Round to 1 decimal place.
The velocity of the fluid will be approximately
cm/sec at a distance of 5.5 cm from the
center of the pipe.
Transcribed Image Text:Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity of the fluid gradually
decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v (x)
is the velocity of the fluid (in cm/sec) and X represents the distance (in cm) from the center of the pipe toward the edge.
1
5
8 9
2
3
4
6
7
v (x) 195.9 195.2 194.2 192.7 190.8 188.4 185.6
182.3 178.6 174.5
Part: 0/ 4
Part 1 of 4
(a) The pipe is 10 m long (1000 cm). Determine how long it will take fluid to run the length of the pipe through the center
of the pipe. Round to 1 decimal place.
It will take fluid approximately 5.104 sec to run the length of the pipe through the center
of the pipe.
Part: 1/4
Part 2 of 4
(b) Determine how long it will take fluid at a point 9 cm from the center of the pipe to run the length of the pipe. Round to 1
decimal place.
It will take fluid approximately
sec to run the length of the pipe at a point 9 cm from
the center of the pipe.
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