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The Motion of Free Fall
Instructor Notes

 

  • Computers are needed for lab this week
  • The acceleration of a mass is measured using a paper tape timer
  • This is their first lab journal, so you might wish to be particularly picky about the format when grading
    • Fall 2022: I have officially changed the word 'report' to 'journal' in all lab instructions. I have not yet made this change in any of the Instructor Notes other than this one
  • We now have 8 timers. Woo-hoo!
  • Jeff will usually replace or adjust the carbon paper on each timer before the first lab section, so they should be good for the rest of the week
  • At the current height of the timers, students will label 18 even-numbered dots (so, they will have 9 data points). I previously had '20' listed in the instructions because it's a nice 'round' number, but their inability to adapt confused the shit out of them. I finally relented and have changed it to '18' in the instructions. *sigh*
  • The procedure for preparing the paper tape, loading and starting the timer is as follows:
    • Tear off a piece of paper tape that is a little shorter than the height of the timer above the ground; this will hopefully minimize the problem with the last data point being recorded after the mass hits the floor
    • Make a loop at the 'bottom' end of the paper tape (secure with masking tape)
    • Feed the 'top' of the paper tape through the timer (between the carbon disc and metal striker plate)
    • Attach the hook of the 200-g mass to the paper tape
    • Hold the paper tape near its top so that the tape is vertical when looking from the front and side of the timer (this is checked by the partner)
      • Two step stools are in the lab for those that are vertically challenged
    • Hold the paper tape motionless, have lab partner turn on timer (move switch to the left)
    • Drop the tape. Take care not to let the paper tape drag along your hand; watch students while they do a drop to make sure they're not doing this either
    • Turn off timer by pushing switch to its center position
    • Examine each groups' tape; make sure they can identify the first clear dot as 'zero' point
    • Have students repeat drop if it doesn't look good (they might be able to use the back side of tape)
  • Students want to fit an exponential function to their data, but Excel won't let them (and rightly so!). A teachable moment!
  • Here's the procedure for adding new data points to an Excel graph, created with three data points:
    • Click on the graph to select it; the three data points will be highlighted
    • Move the cursor over the handle in the lower-right corner of the selected data (Figure 1); the cursor will change from a fat '+' to a small, angled, double-arrowed line
    • Click on the handle and drag straight down a bunch of rows, beyond the last data point (Figure 2)
    • Voilà! Newly entered data will automatically appear on the graph

    Figure 1

    Figure 2
  • Student results of acceleration are placed on the board; they generally should measure ao < g, since the paper tape drags through the timer. When the weather cooperates, the accelerations are usually within about 5% of g. If the weather is particularly humid, the accelerations will be much lower than expected, as seen in this data from previous years:
    • Year Day ao (cm/s2) %diff Comments
      2022 Monday 958.1 -2 Very Humid
          943.7 -4  
          933.1 -5  
          938.2 -4  
          793.6 -21  
          825.7 -17  
        Tuesday 956.5 -2 Dry
          968.6 -1  
        Wednesday 981.8 +0.2 Dryer!
          974.1 -0.6  
          967.0 -1  
          978.9 -0.1  
          972.5 -0.8  

      2015 Monday 963.8 -2 Humid
          949.8 -3  
          934.4 -5  
          986.9 +0.5  
          964.2 -1.6  
               
        Wednesday 879.7 -11 Very humid & pouring rain
          812.0 -19  
          962.9 -1  
          970.9 -1  
          926.7 -6  
          859.0 -13  
          904.6 -8  
          953.9 -3  

 

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Revised: 04 Jun 2024 Canton, NY 13617