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# 3 c the inertial balance

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### 3 c the inertial balance

1. 1. The Inertial BalanceIl Bottoni fa scienza 2013IIIC
2. 2. How do spacemenmeasure mass in space?
3. 3. We have repeatedthe experiment simulatingthe absence of gravity.
4. 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. 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. 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. 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. 8. We must calculatean unknown massT=0,53 sT²=0,28 s²
9. 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. 10. OutcomesM=164 g M=157 g