1 / 23

Graphing in Physics

Graphing in Physics. AP Physics B. GREAT GRAPHS CONTAIN!!!. Identify the independent & dependent variables. 2. Choose your scale carefully (fill 2/3 of the graph). Plot the independent variable on the horizontal ( x ) axis and the dependent variable on the vertical ( y ) axis.

dabbs
Télécharger la présentation

Graphing in Physics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Graphing in Physics AP Physics B

  2. GREAT GRAPHS CONTAIN!!! • Identify the independent & dependent variables. 2. Choose your scale carefully (fill 2/3 of the graph) • Plot the independent variable on the horizontal (x) axis and the dependent variable on the vertical (y) axis. 4. Label each axis with the name of the variable and the unit. 5. Title your graph. 6. If the data points appear to lie roughly in a straight line, draw the best straight line you can with a ruler and a sharp pencil.

  3. GRAPHS We use graphs to examine experimental data for relationships. DATA: An example: Hypothesis: As weight (a force) is added to a spring it will stretch. LET’S GRAPH !

  4. Identify the independent and dependent variables. • Force = independent Elongation = dependent 2.Choose your scale carefully: 5 cm = 1 unit • Plot the independent variable on the horizontal (x) axis and the dependent variable on the vertical (y) axis.

  5. 4. If the data points appear to lie roughly in a straight line, draw the best straight line you can with a ruler and a sharp pencil. 5. Title your graph. 6. Label each axis with the name of the variable and the unit.

  6. What kind of relationship does this graph represent?

  7. INTERPRETING GRAPHS There are three relationships that occur frequently in Physics. Graph A: If the dependent variable varies directly with the independent variable, the graph will be a straight line.

  8. Graph B:If y varies inversely with x, the graph will be a hyperbola. Graph C: If y varies directly with the square of x, the graph will be a parabola.

  9. Reading from the graph between data points is called interpolation. Reading from the graph beyond the limits of your experimentally determined data points is called extrapolation.

  10. 1.Suppose you recorded the following data during a study of the relationship of force and acceleration. Prepare a graph showing these data.

  11. a. Describe the relationship between force and acceleration as shown by the graph. Acceleration is directly proportional to force b.What is the slope of the graph? = 0.63 kg-1 c. What physical quantity does the slope represent? The slope is the inverse of the mass.

  12. d. Write an equation for the line. y = mx + b a = kF + 0 e. What is the value of the force for an acceleration of 15 m/s2? a = kF + 0 = 24 N f. What is the acceleration when the force is 50.0 N? a = kF + 0 = 0.63(50) = 32 m/s2

  13. Which Math Model is this? • What relationship does it look like? Justify your answer • Write the proportionality you predict. • Graph the data

  14. Which Math Model is this? • What relationship does it look like? Justify your answer • Write the proportionality you predict. V  t • Graph the data

  15. Which Math Model is this? • What relationship does it look like? Justify your answer • Write the proportionality you predict. • Graph the data • Linearize the data to verify.

  16. Which Math Model is this? • What relationship does it look like? Justify your answer • Write the proportionality you predict. P  t2 • Graph the data • Linearize the data to verify.

  17. Which Math Model is this? Create a t2 column • Linearize the data to verify. P  t2 y = mx + b Plot P on the y-axis Plot t2on the x-axis

  18. Notice how the parabolic graph is transformed into a linear graph.We have confirmed that our prediction of P  t2 is correct.

  19. Which Math Model is this? • What relationship does it look like? Justify your answer • Write the proportionality you predict. • Graph the data

  20. Which Math Model is this? • What relationship does it look like? Justify your answer • Write the proportionality you predict. V  1/P • Graph the data

  21. Which Math Model is this? Create a 1/P column • Linearize the data to verify. V  1/P y = m x + b Plot V on the y-axis Plot 1/P on the x-axis

  22. Notice how the inverse graph is transformed into a linear graph.We have confirmed that our prediction of V  1/Pis correct.

More Related