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3 c the inertial balance

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  • 1. The Inertial BalanceIl Bottoni fa scienza 2013IIIC
  • 2. How do spacemenmeasure mass in space?
  • 3. We have repeatedthe experiment simulatingthe absence of gravity.
  • 4. Data CollectionMass (g) t. oscillation (s) St. Dev. oscillation (s)86 0,37 0,01186 0,47 0,01286 0,56 0,01386 0,65 0,02486 0,72 0,01586 0,78 0,02
  • 5. Data Processing0 100 200 300 400 500 600 70000.10.20.30.40.50.60.70.80.9f(x) = 0.06 x^0.40R² = 0.99Mass (g)Time(s)
  • 6. Could it be a quadratic dependance?Time^2 - MassMass (g) T. oscillation (s) St. Dev oscillation (s) T^2 St. Dev.86 0,37 0,01 0,13 0,01186 0,47 0,01 0,23 0,01286 0,56 0,01 0,32 0,02386 0,65 0,02 0,42 0,02486 0,72 0,01 0,52 0,02586 0,78 0,02 0,61 0,03
  • 7. Data Processing 20 100 200 300 400 500 600 70000.10.20.30.40.50.60.7f(x) = 0.00x + 0.05R² = 1.00Mass (g)Time^2(s^2)
  • 8. We must calculatean unknown massT=0,53 sT²=0,28 s²
  • 9. 0 100 200 300 400 500 600 70000.10.20.30.40.50.60.7f(x) = 0.00x + 0.05R² = 1.00Calibration graphMass (g)Time^2(s^2)M=250 g – 86 g = 164 g
  • 10. OutcomesM=164 g M=157 g