Goal:
To test the factors which determine centripetal forces required for circular motio

Whitman, Steve

English

The College at Brockport, State University of New York: Digital Commons @Brockport

The College at Brockport: State University of New York
Digital Commons @Brockport
Lesson Plans CMST Institute
3-2005
Centripetal Forces: Circular Motion
Steve Whitman
The College at Brockport, stevewhitman27@gmail.com
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Repository Citation
Whitman, Steve, "Centripetal Forces: Circular Motion" (2005). Lesson Plans. 313.
http://digitalcommons.brockport.edu/cmst_lessonplans/313
BHS Physics 
 
  
LAB #8 
•Centripetal Forces: 
Circular Motion 
BHS Physics 
 
  
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)   
BHS Physics 
 
  
CIRCULAR MOTION: Part 1 
Spring Scale 
mg 
R 
T 
Tx 
Ty 
ay = 0 Ty = mg 
Fnet = Tx Tx is Fc 
BHS Physics 
 
  
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   
 
 
BHS Physics 
 
  
CIRCULAR MOTION 
Determine Speed of Mass 
Speed = distance 
time 
= Circumference 
Period 
Period (T) = time / revolution 
V =  C 
T 
= 2πr 
T 
BHS Physics 
 
  
I.P. CIRCULAR MOTION 
1=========2.o=oo=m=/sL.....I _---- _j_--- LAB -a:-G~RGJLA.R-MdT~ON -- --------- ---- j_---- _(..__E_ra.--s_e_T_ra_ck____,-!..J ----------
I 1 ( Tracking (Every 32 Frames] 
v 
---- -------r-
1 
1.333 m/s"2 
~:;~!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"'=,!I - ----- J----------- 1- --- ------- ~---------I I I 
v 
- --- --1-----------1 
Tension of Rope 3 I I 
1.333 N 
:v 
I I I 
- - - - - -·- - - - - - - - - - - ...} - - - - - - - - - - - .j - - - - - - - - - - - -- - --------L----------- ~ ---- - - -~------- - ---~------- - ---4-----------
I I I 1 I 1 I I 
I 
A FT 
I I I 1 1 I 
- - - - - -.- - - - - - - - - - - -.- - - - - - - - - - - , - - - - - - - - - - - T - - - - - - - - - - - r- - - - - - - - - - - - r - - --- -- -.-----------~------ --- -
I I I 1 
I 
I I I 1 
- -- ---,---- - --- --- ,-- - - - ------,-- - - - --- -- -r - - -- -- :A --------- ~ ----------- ~ -----------
1 
I I 
----- -,- ---------- -,- ----------
BHS Physics 
 
  
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 
 
BHS Physics 
 
  
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 
 
 
BHS Physics 
 
  
DATA TABLE PART 1: Fc vs V 
' 
I 
I 
I I 
I 
!SAFM1PLE DATA TABLE: PART 1: Fe vs V 
CONSTANTS: r~1ASS (kg) R (1n) 
-
Tlr~1E FOR PERIOD SPEED (1nls SCALE 
- - - - - -
TRIAL 10 REV (S) T (sJrev) C (1n) I v = c~·T l V2 (n12l~) Fe (N) 
1 
-
2 
-
3 
-
4 
-
5 
-
6 
-
1 
-
8 
BHS Physics 
 
  
DATA TABLE PART 2: Fc vs M 
• MAKE YOUR OWN TABLE 
– 8-10 TRIALS 
– INCLUDE CONSTANTS 
– INDEPENDENT VARIABLE (WITH 
UNITS) 
– DEPENDENT VARIABLE (WITH UNITS) 
BHS Physics 
 
  
DATA TABLE PART 2: Fc vs r 
• MAKE YOUR OWN TABLE 
– 8-10 TRIALS 
– INCLUDE CONSTANTS 
– INDEPENDENT VARIABLE (WITH 
UNITS) 
– DEPENDENT VARIABLE (WITH UNITS) 
BHS Physics 
 
  
GRAPH #1: Fc vs V 
SPEED (m/s) 
Fc
 (N
) 
BHS Physics 
 
  
GRAPH #2: Fc vs V 
SPEED2 (m2/s2) 
Fc
 (N
) 
BHS Physics 
 
  
GRAPH #3: Fc vs MASS 
MASS (kg) 
Fc
 (N
) 
BHS Physics 
 
  
GRAPH #4: Fc vs RADIUS 
RADIUS (m) 
Fc
 (N
) 
BHS Physics 
 
  
GRAPH #5: Fc vs 1/RADIUS 
1/RADIUS (1/m) 
Fc
 (N
) 
BHS Physics 
 
  
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  
 
BHS Physics 
 
  
LAB #8 
DATA 
ANALYSIS 
BHS Physics 
 
  
BHS Physics 
 
  
BHS Physics 
 
  
BHS Physics 
 
  
BHS Physics 
 
  
Y = A x2 + B x1 + C x0 
Fc =   (m)   V2 +(0)V1 + (0 ) V0 
GRAPH #1: Fc vs Vo 
Fc
 (N
) 
Relationship: 
Trendline: Polynomial: 2nd order 
Y α Xn Fc α V2 
r 
Speed (m/s) 
BHS Physics 
 
  
GRAPH #2: Fc vs. V2 
VELOCITY ^2 (m2/s2) 
Fc
 (N
) 
y = m x + b 
Trendline: Linear 
Relationship: Fc α V2 
Fc =      m       V2 
r (      ) +   0 
BHS Physics 
 
  
GRAPH #3: Fc vs Mass 
Fc
 (N
) Fc α Mass 
Mass 
y = m x + b 
Fc =       V2      m 
r (      ) +   0 
BHS Physics 
 
  
GRAPH #4: Fc vs Radius 
Radius  (m) 
Fc
 (N
) Fc α 1/r
n 
n = 1,2,? 
BHS Physics 
 
  
GRAPH #4: Fc vs 1/r 
Fc
 (N
) Fc α 1/r
 
INVERSE RADIUS  
y = m x + b 
Fc   =    mv2      1 
r (   ) +   0 


Centripetal Forces: Circular Motion

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Centripetal Forces: Circular Motion

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