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LAB #8

LAB #8. Centripetal Forces: Circular Motion. F NET = ma. F c = ma c. a c = v 2 /r. F C = mv 2 /r. GOALS. 1 TO TEST THE FACTORS WHICH DETERMINE CENTRIPETAL FORCES REQUIRED FOR CIRCULAR MOTION Fc vs SPEED ( V ) Fc vs MASS ( m ) Fc vs RADIUS ( r ). CIRCULAR MOTION: Part 1. Ty.

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LAB #8

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  1. LAB #8 Centripetal Forces: Circular Motion

  2. FNET = ma Fc = mac ac = v2/r FC = mv2/r

  3. GOALS 1 TO TEST THE FACTORS WHICH DETERMINE CENTRIPETAL FORCES REQUIRED FOR CIRCULAR MOTION Fc vs SPEED (V) Fc vs MASS (m) Fc vs RADIUS (r)

  4. CIRCULAR MOTION: Part 1 Ty T R Tx mg ay = 0 Ty = mg Tx is Fc Fnet = Tx Spring Scale

  5. PROCEDURE: Part 1: Fc vs V • MEASURE CONSTANTS: • MASS (m) OF STOPPER • RADIUS ( r ) OF MOTION • SPIN STOPPER WITH UNIFORM CIRCULAR MOTION. • TIME ATLEAST 10 REVOLUTIONS • MEASURE Fc WITH SPRING SCALE • REPEAT WITH ANOTHER UNIFORM SPEED, BUT FASTER. • MINIMUM OF 5 TRIALS

  6. CIRCULAR MOTIONDetermine Speed of Mass Speed = distance = Circumference time Period Period (T) = time / revolution = 2pr V = C T T

  7. I.P. CIRCULAR MOTION

  8. PROCEDURE: Part 2: Fc vs m • CREATE AN IP SIMULATION OF AN OVERHEAD VIEW OF A MASS ON A FRICTIONLESS SURFACE • TURN OFF GRAVITY • CREATE MASS • ATTACH A ROPE TO MASS OF A GIVEN LENGTH WHICH WILL DETERMINE RADIUS • GIVE MASS A TANGENTIAL VELOCITY • RECORD CONSTANTS: • RADIUS • SPEED • RUN SIMULATION, RECORD TENSION • MEASURE TENSION IN ROPE • CHANGE MASS AND REPEAT FOR 8 TRIALS

  9. PROCEDURE: Part 3: Fc vs r • USE THE SAME IP SIMULATION OF AN OVERHEAD VIEW OF A MASS ON A FRICTIONLESS SURFACE • SELECT AND RECORD CONSTANTS: • MASS • SPEED • RUN SIMULATION, RECORD TENSION • SHORTEN THE ROPE TO A NEW RADIUS • RUN SIMULATION AND RECORD TENSION • REPEAT FOR 8 TRIALS

  10. DATA TABLE PART 1: Fc vs V

  11. DATA TABLE PART 2: Fc vs M • MAKE YOUR OWN TABLE • 8-10 TRIALS • INCLUDE CONSTANTS • INDEPENDENT VARIABLE (WITH UNITS) • DEPENDENT VARIABLE (WITH UNITS)

  12. DATA TABLE PART 2: Fc vs r • MAKE YOUR OWN TABLE • 8-10 TRIALS • INCLUDE CONSTANTS • INDEPENDENT VARIABLE (WITH UNITS) • DEPENDENT VARIABLE (WITH UNITS)

  13. GRAPH #1: Fc vs V Fc (N) SPEED (m/s)

  14. GRAPH #2: Fc vs V Fc (N) SPEED2 (m2/s2)

  15. GRAPH #3: Fc vs MASS Fc (N) MASS (kg)

  16. GRAPH #4: Fc vs RADIUS Fc (N) RADIUS (m)

  17. GRAPH #5: Fc vs 1/RADIUS Fc (N) 1/RADIUS (1/m)

  18. WRITE-UP • ABSTRACT: • BACKGROUND • METHOD • SKETCH: ENHANCED I.P. SCREEN DUMP • DATA TABLES • GRAPHS • TRENDLINES • GRAPH ANALYSIS • TEXT BOX TO TELL STORY OF EACH GRAPH • INCLUDE THE SIGNIFICANCE OF SLOPE OF LINEAR TRENDLINES • CONCLUSION

  19. LAB #8 DATA ANALYSIS

  20. Graph Analysis Table

  21. GRAPH #1: Fc vs Vo Y a Xn Fc a V2 Relationship: Trendline: Polynomial: 2nd order Y = A x2 + B x1 + C x0 Fc (N) Fc = (m) V2 +(0)V1 + (0)V0 r Speed (m/s)

  22. Fc = m V2 r GRAPH #2: Fc vs. V2 Fc a V2 Relationship: Trendline: Linear Fc (N) y = m x + b ( ) + 0 VELOCITY ^2 (m2/s2)

  23. Fc = V2m r GRAPH #3: Fc vs Mass Fc aMass Fc (N) y = m x + b ( ) + 0 Mass

  24. GRAPH #4: Fc vs Radius Fc a 1/rn n = 1,2,? Fc (N) Radius (m)

  25. Fc = mv21 r GRAPH #4: Fc vs 1/r Fc a 1/r Fc (N) y = m x + b ( ) + 0 INVERSE RADIUS

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