Comment on the graphs produced by the wheel sensors. In particular, highlight a part of the...

   

 

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Comment on the graphs produced by the wheel sensors. In particular, highlight a part of the graphs where the position looks like a sin() function. Do v and a also look sinusoidal? Are the frequencies (or periods) of the three plots the same? 2. Do the maxima of the x, v, and a curves align, or is there a phase offset between them? Explain. 3. In this lab, we used two different procedures to calculate the value of k. a. In a few sentences, briefly summarize both methods. Should both methods give the same value of k? b. Were the values of k you measured with both methods consistent? (Hint: "Consistent" in experimental science means something very specific. You must reference your k uncertainties here. Please ask a TA for clarification if you do not understand what is meant by "consistent".) 4. Think about the sources of uncertainty for both methods and describe each of them briefly, as well as what you could do to reduce them. 5. Would you expect k to change if m were increased? Briefly (a few sentences) explain a protocol you could use to test this experimentally. Wheel Position (100 Hz) (w) A 0.05 0.00 -0.05 -0.10 a, (m/s²) Wheel - Velocity (100 Hz) w 0.5 0.0 05 Mmmmm 4 Rezero sensor 6420749 5 m Wheel Acceleration (100 Hz) 5 6 5 8 8 www 9 10 Time (s) 10 Time (8) 10 Time (s) Wheel - Position vs Force (100 Hz) 1 n 1 22 8 9 -6 -8 -0.01 0.00 0.01 0.02 0.04 0.03 Wheel-Position (m) 10 0.05 0.06 14 0.07 0.08 Figure 1: Top: Example of graphs produced by the wheel sensors. Bottom: Example of a parametric plot between force and wheel position. Comment on the graphs produced by the wheel sensors. In particular, highlight a part of the graphs where the position looks like a sin() function. Do v and a also look sinusoidal? Are the frequencies (or periods) of the three plots the same? 2. Do the maxima of the x, v, and a curves align, or is there a phase offset between them? Explain. 3. In this lab, we used two different procedures to calculate the value of k. a. In a few sentences, briefly summarize both methods. Should both methods give the same value of k? b. Were the values of k you measured with both methods consistent? (Hint: "Consistent" in experimental science means something very specific. You must reference your k uncertainties here. Please ask a TA for clarification if you do not understand what is meant by "consistent".) 4. Think about the sources of uncertainty for both methods and describe each of them briefly, as well as what you could do to reduce them. 5. Would you expect k to change if m were increased? Briefly (a few sentences) explain a protocol you could use to test this experimentally. Wheel Position (100 Hz) (w) A 0.05 0.00 -0.05 -0.10 a, (m/s²) Wheel - Velocity (100 Hz) w 0.5 0.0 05 Mmmmm 4 Rezero sensor 6420749 5 m Wheel Acceleration (100 Hz) 5 6 5 8 8 www 9 10 Time (s) 10 Time (8) 10 Time (s) Wheel - Position vs Force (100 Hz) 1 n 1 22 8 9 -6 -8 -0.01 0.00 0.01 0.02 0.04 0.03 Wheel-Position (m) 10 0.05 0.06 14 0.07 0.08 Figure 1: Top: Example of graphs produced by the wheel sensors. Bottom: Example of a parametric plot between force and wheel position.

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Solutions Step 1 Part 1 Comments on the graphs produced by the wheel sensors Explanation The graph of wheel position versus time exhibits a sinusoidal pattern resembling a sine function within the ini... View the full answer