3 c the inertial balance

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The Inertial Balance Il Bottoni fa scienza 2013 IIIC

Transcript of 3 c the inertial balance

The Inertial BalanceIl Bottoni fa scienza 2013

IIIC

How do spacemen measure mass in space?

We have repeated the experiment simulating

the absence of gravity.

Data Collection

Mass (g) t. oscillation (s) St. Dev. oscillation (s)

86 0,37 0,01

186 0,47 0,01

286 0,56 0,01

386 0,65 0,02

486 0,72 0,01

586 0,78 0,02

Data Processing

0 100 200 300 400 500 600 7000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

f(x) = 0.06 x 0̂.40R² = 0.99

Mass (g)

Tim

e (

s)

Could it be a quadratic dependance?Time^2 - Mass

Mass (g) T. oscillation (s) St. Dev oscillation (s) T^2 St. Dev.

86 0,37 0,01 0,13 0,01

186 0,47 0,01 0,23 0,01

286 0,56 0,01 0,32 0,02

386 0,65 0,02 0,42 0,02

486 0,72 0,01 0,52 0,02

586 0,78 0,02 0,61 0,03

Data Processing 2

0 100 200 300 400 500 600 7000

0.1

0.2

0.3

0.4

0.5

0.6

0.7f(x) = 0.00x + 0.05R² = 1.00

Mass (g)

Tim

e2̂

(s

2̂)

We must calculate an unknown mass

T=0,53 s

T²=0,28 s²

0 100 200 300 400 500 600 7000

0.1

0.2

0.3

0.4

0.5

0.6

0.7f(x) = 0.00x + 0.05R² = 1.00

Calibration graph

Mass (g)

Tim

e2̂

(s

2̂)

M=250 g – 86 g = 164 g

Outcomes

M=164 g M=157 g