Rotodyne

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Hofstra University *

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011B-A

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Physics

Date

Feb 20, 2024

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docx

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12

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Hofstra University Physics department Student’s Name- Arpanpreet Kaur Grade- Experiment Title- Moment of Inertia “Rotodyne” Apparatus Experiment Number- 6 Date Performed- 11/15/2023 Labortaory Course - PHYS-011B Section- Laboratory Instructor- Professor Angela Lukaszewski Group Number- 3 Group Members- Arpanpreet Kaur
Abstract The objective of the lab is to simply show that the change in distribution of the mass, the moment of inertia changes. The equations that were used were a=2h/t^2, α=a/r, and T= m(g-a) r. The tools that were used were a meter stick, mass set, 4 additional masses, a stop pad and a digital timer. The theoretical values for all three investigations did not fall within our experimental range. Sketch of Apparatus
C harts and Graphs 2a. Moment of Inertia of the Wheel Alone M falling Average time to fall 1m Acceleration a=2h/T 2 Angular Acceleration α=a/r Applied Torque T=m(g-a)r kg sec m/s 2 [m/s 2 ]/m Nm 0.040 2.15413 0.4310 2.155 0.07503 0.060 1.75283 0.6509 3.2545 0.10990 0.080 1.524 0.8611 4.3055 0.14318 0.100 1.3715 1.0632 5.316 0.17493 0.120 1.27463 1.2310 6.155 0.20589 Least Square Fit X i Y i X i Y i X i 2 Y b = m b X i + b (Y b -Y i ) 2 2.155 0.07503 0.16168965 4.644025 0.074172 7.36164E-07 3.2545 0.10990 0.35766955 10.59177025 0.109795 1.1025E-08 4.3055 0.14318 0.61646149 18.53733025 0.143848 4.46224E-07 5.316 0.17493 0.92992788 28.259856 0.176588 2.74896E-06 6.155 0.20589 1.26725295 37.884025 0.203772 4.48592E-06 21.186 0.70893 3.33300152 99.9170065 8.4283E-06 Calculations
2b. Moment of Inertia of Wheel plus 4 additional masses at the maximum allowable distance
M falling Average time to fall 1m Acceleration a=2h/T 2 Angular Acceleration α=a/r Applied Torque T=m(g-a)r kg sec m/s 2 [m/s 2 ]/m Nm 0.040 3.0364 0.216926 1.08463 0.076744 0.060 2.2426 0.397673 1.988365 0.112947 0.080 2.1347 0.438890 2.19445 0.149937 0.100 1.906 0.550534 2.75267 0.185189 0.120 1.7497 0.653285 3.266425 0.219761 Least Square Fit X i Y i X i Y i X i 2 Y b = m b X i + b (Y b -Y i ) 2 1.08463 0.076744 0.083238845 1.176422237 0.069520988 5.21719E-05 1.988365 0.112947 0.224579862 3.953595373 0.130613474 0.000312104 2.19445 0.149937 0.32902925 4.815610803 0.14454482 2.90756E-05 2.75267 0.185189 0.509764205 7.577192129 0.182280492 8.45942E-06 3.266425 0.219761 0.717832824 10.66953228 0.21701033 7.56619E-06 11.28654 0.744578 1.864444985 28.19235282 0.000409377 Calculations
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