T 2 - Science Academy

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SWINGING
WITH
GRAVITY
Featuring the PENDULUM
Gravity Lab Presentation by
David Bang
Jessamyn Hung
Mandy Lin
Jennifer Yoon
NEWTON’S LAW OF
GRAVITY
OBJECTIVE
Determine the value of gravity
(g) as accurately as possible.
PROCEDURE: REASONING
Why did we choose to use the
pendulum?
How does the pendulum relate to
gravity?
HYPOTHESIS
Is it possible to measure gravity
using a pendulum?
If gravity puts force downwards on the pendulum,
we should be able to calculate gravity using the
time of one period.
PROCEDURE : TRIAL & ERROR
STEP ONE: CREATING MODEL
What were the errors
for our first trial?
How did we improve?
Left:
Trial 1
Right:
Final Trial
PROCEDURE: EXPERIMENT
What tools and equipment
did we use?
Which applications and
programs helped our process?
PROCEDURE:EXPERIMENT
STEP T WO:EXPERIMENT
RESULTS:
STEP T WO:EXPERIMENT
RECORDED DATA
Did having multiple trials help make more accurate
results?
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
5
6.4
.64
.4096
2
5
6.5
.65
.4225
3
5
6.3
.63
.3969
4
5
6.3
.63
.3969
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
10
7.9
.79
.6241
2
10
8.0
.8
.64
3
10
8.0
.8
.64
4
10
7.9
.79
.6241
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
20
9.7
.97
.9409
2
20
9.6
.96
.9216
3
20
9.8
.98
.9604
4
20
9.8
.98
.9604
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
30
11.5
1.15
1.3225
2
30
11.2
1.12
1.2544
3
30
11.4
1.14
1.2996
4
30
11.0
1.10
1.21
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
40
13.3
1.33
1.7689
2
40
13.5
1.35
1.8225
3
40
13.1
1.31
1.7161
4
40
13.5
1.35
1.8225
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
50
15.7
1.57
2.4649
2
50
15.1
1.51
2.2801
3
50
15.3
1.53
2.3409
4
50
15.9
1.59
2.5281
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
60
16.2
1.62
2.6244
2
60
16.1
1.61
2.5921
3
60
16.3
1.63
2.6569
4
60
16.5
1.65
2.7225
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
70
17.8
1.78
3.1684
2
70
17.7
1.77
3.1329
3
70
17.5
1.75
3.0625
4
70
17.7
1.77
3.1329
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
80
18.7
1.87
3.4969
2
80
18.4
1.84
3.3856
3
80
18.3
1.83
3.3489
4
80
18.2
1.82
3.3124
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
90
19.7
1.97
3.8809
2
90
19.3
1.93
3.7249
3
90
19.2
1.92
3.6864
4
90
19.3
1.93
3.7249
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
100
20.4
2.04
4.161
2
100
20.2
2.02
4.080
3
100
20.3
2.03
4.1209
4
100
20.4
2.04
4.161
Trial
Length (cm)
Time (sec) for
10 swings
Period (T)
T2
1
110
21.5
2.15
4.6225
2
110
21.5
2.15
4.6225
3
110
21.8
2.18
4.7524
4
110
21.9
2.19
4.7961
RESULTS:
STEP T WO:EXPERIMENT
RECORDED DATA
Finding out the value of “g”:
2
4𝜋
Formula:
𝑆𝑙𝑜𝑝𝑒
=
4𝜋 2
4.04𝑚/𝑠𝑒𝑐 2
= 9.771885546𝑚/𝑠𝑒𝑐 2
9.77 𝑚/𝑠𝑒𝑐 2
Where did the formula come from?
ASSUMPTION & LIMITATIONS
What were the factors that affected the
accuracy of our experiment?
What were our thoughts throughout the
process?
CONCLUSION
Our hypothesis was correct! Using the time of one
period, we were able to calculate a measurement of
gravity. Our final result for gravity was
9.77 𝑚/𝑠𝑒𝑐 2
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