We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byConnor Hogan
Modified over 3 years ago
Measuring Fluid Pressure
Sample data: Alcohol Height (m)Pressure (Pa)
Slope of Pressure vs height Slope = rise/run = Pressure/height Pa = N = kg m = kg m m m 2 m m 3 sec 2 m 3 sec 2 kg/m 3 = density = ρ m/sec 2 = acceleration
Best fit equation = slope Alcohol = x Y= mx + b Pressure = h + b ( b can be disregarded. When pressure = 0 then height would = 0)
Pressure vs height Pressure (Pa) Height (m) Glycerin Salt water Fresh water Alcohol
Pressure vs density using the best fit lines LiquidDensity (ρ) Kg/m 3 Best fit equation Equation at 0.4 m Alcohol h2830 Freshwater h3924 Saltwater h4033 Glycerin h5415
Pressure is proportional to height P α h and P α ρ So therefore: P α ρ h × some constant C P = C ρ h
C = P = Pa = N/m 2 * m 3 ρ h kg/m 3 * m kg * m = kg * m * m 3 m 2 * kg * m * sec 2 C = m/ sec 2
Finding C (using data for seawater) P = C ρ h C = P = 1 P ρ h ρ h C = 1 * C = 9.81 m/sec 2 Slope Trend line formula
Analyzing Data using Line Graphs Slope & Equation of a Line.
1 Math Supplement The Proportionality A “is proportional to” B.
x- and y- intercepts x – intercept: y – intercept: (2, 0) (0, -3)
© The Visual Classroom Review of Straight Lines y = mx + b rise run rise run positive slope negative slope.
Slope and similar triangles. X Y a c b d e Write a proportion to compare the rise to the run for each of the similar slope triangles 1 2 rise run Triangle.
Height Differences Using Flat-Plate Boundary Layer Problem 7.24* Pamela Christian BIEN 301 Individual Project February 15, 2007.
Slope intercept form of an equation y = mx + b slope Rate of change y intercept.
Lesson 4-4 Example Determine the slope of the function y = 5x – 2. Step 1Complete a function table for the equation.
Lesson 6-6 Example Example 2 Graph y = 3x + 2 and determine the slope of the line. 1.Complete a function table for the equation.
There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.
2.4 Writing the Equation of a Line. Review of Slope-Intercept Form The slope-intercept form of a linear equation is y = mx + b. m represents the slope.
Writing equations in slope intercept form Y = mX + b Slope or Rate of change Y intercept.
Density. Computing Density Density = mass (g) volume (cm 3 ) DETERMINE VOLUME: DETERMINE MASS: RT = Pg. 1.
Warm-Up. Slope Slope Objectives: Define slope as the ratio of vertical rise to horizontal run. Determine the slope of a line given a graph. Determine.
Introduction To Slope. Slope is a measure of Steepness.
Slope of a Linear Graph. How do you find slope? RISE RUN M = Y X So, on a distance-time graph, slope is m = d t And therefore, speed. REMEMBER:on.
2.4 Write Equations of Lines Date: 9/4 Objective: Use point slope formula to write and equation of a line.
Point-Slope Form and Writing Linear Equations Section 6-5.
PHYS16 – Lecture 31 Ch. 14 Fluid Mechanics. This Week Fluid Statics – Pressure and Pascal’s Principle – Buoyant Force and Archimedes’ Principle Fluid.
Writing Linear Equations Using Slope Intercept Form.
Writing equations given a point and the slope of a line.
LEARNING TARGETS: 1. TO IDENTIFY SLOPE FROM A TABLE OF VALUES. 2. TO IDENTIFY SLOPE FROM A GRAPH. 3. TO IDENTIFY SLOPE FROM 2 POINTS. 4. TO IDENTIFY SLOPE.
Seawater Pure H 2 0 and ……….. Salts Where do the salts in seawater come from?
N * Use linear equations to solve problems and interpret the meaning of slope, m, and the y-intercept, b, in f(x)= mx + b in terms of the context.
WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.
Introduction to Linearization ( No units, no uncertainties, just the core idea ) The purpose of linearization is to get the equation that describes real.
Fluid Statics Why do your ears hurt when you dive deep into a pool, and how can steel float on water?
2.2 Linear Equations. SLOPE RISE RUN SLOPE Slope Formula Given points (X 1,Y 1 ) and (X 2,Y 2 ) Is the same as ?
EXAMPLE 1 Use slope and y-intercept to write an equation Write an equation of the line with a slope of –2 and a y -intercept of 5. y = mx + b Write slope-intercept.
Slopes and Direct Variation December 9, Review Slope Slope – Rise Run (-1, -4) and (2, 2)
Review of the Gas Laws PV = nRT. Boyle’s Law (isothermal & fixed amount) Charles’s Law (isobaric & fixed amount) Avogadro’s Law (isothermal & isobaric)
2-3C Finding an Equation of a Line 2-3C Finding an Equation of a Line Objectives: To write an equation of a line using the slope-intercept equation.
5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.
-when given slope and y intercept -when given slope and a point -when given two ordered pairs - Equation of a line - Slope - Y intercept y = mx + b.
Direct & Inverse Relationships. Direct Relationships In a direct relationship, as “x” increases “y” increases proportionally. On the graph you see a straight.
1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.
Graphs of a falling object And you. Objective 1: Graph a position –vs- time graph for an object falling from a tall building for 10 seconds Calculate.
1 web notes: lect6.ppt.
Identifying a Linear Equation from a Table of Values Slope-Intercept Method.
x y Straight Line Graphs m gives the gradient of the line and.
MOTION. Chapter Four: Motion 4.1 Position, Speed and Velocity 4.2 Graphs of Motion 4.3 Acceleration.
WARM UP Using the following table and y = mx + b; 1) What is the y? 2) What is the b? xy
Finding Slope – Intercept From an Equation STEPS : 1. Equation must be in y = mx + b form 2. The slope is the coefficient of “x” ( m ) 3. The y - intercept.
Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)
Lesson 6.1 a – Writing the Equation of a Line Concept : Writing Equations of Lines EQ : How do we write the equation of a line? ( G. GPE.5) Vocabulary.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Slope of a Line.
WRITING AN EQUATION OF A LINE DETERMINE THE EQUATION OF A LINE AND/OR GRAPH A LINEAR EQUATION.
y = 2x - 3 What’s this? y = 2x - 3 It’s a Linear Equation!
© 2017 SlidePlayer.com Inc. All rights reserved.