Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Answer:
[tex]P = -\frac{17978}{1609344}(h)+101.325[/tex]
Explanation:
Given
[tex]h = height[/tex]
[tex]P = Pressure[/tex]
[tex](h_1,P_1) = (0,101.325)[/tex]
[tex](h_2,P_2) = (1609.344 ,83.437 )[/tex]
Required
Determine the linear equation for P in terms of h
First, we calculate the slope/rate (m);
The following formula is used:
[tex]m = \frac{P_2 - P_1}{h_2 - h_1}[/tex]
Substitute values for P's and h's
[tex]m = \frac{83.347 - 101.325}{1609.344- 0}[/tex]
[tex]m = \frac{-17.978}{1609.344}[/tex]
[tex]m = -\frac{17.978}{1609.344}[/tex]
Multiply by 1000/1000
[tex]m = -\frac{17.978 * 1000}{1609.344*1000}[/tex]
[tex]m = -\frac{17978}{1609344}[/tex]
The equation is then calculated using:
[tex]P - P_1 = m(h - h_1)[/tex]
Substitute values for m, h1 and P1
[tex]P - P_1 = m(h - h_1)[/tex]
[tex]P - 101.325 = -\frac{17978}{1609344}(h - 0)[/tex]
[tex]P - 101.325 = -\frac{17978}{1609344}(h)[/tex]
Make P the subject
[tex]P = -\frac{17978}{1609344}(h)+101.325[/tex]
The above is the required linear equation
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.