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Featuring the PENDULUM ravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

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Page 1: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

Featuring the PENDULUM

Gravity Lab Presentation byDavid Bang

Jessamyn HungMandy Lin

Jennifer Yoon

SWINGING WITH

GRAVITY

Page 2: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

NEWTON’S LAW OF GRAVITY

Page 3: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

Determine the value of gravity (g) as accurately as possible.

OBJECTIVE

Page 4: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

Why did we choose to use the pendulum?

How does the pendulum relate to gravity?

PROCEDURE:REASONING

Page 5: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

Is it possible to measure gravity using a pendulum?

HYPOTHESIS

If gravity puts force downwards on the pendulum, we should be able to calculate gravity using the

ti me of one period.

Page 6: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

STEP ONE: CREATING MODELPROCEDURE: TRIAL & ERROR

What were the errors for our first

trial?

How did we improve?

Left:Trial 1

Right: Final Trial

Page 7: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY
Page 8: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

PROCEDURE:EXPERIMENT

What tools and equipment did we use?

Which applications and programs helped our process?

Page 9: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

STEP TWO:EXPERIMENTPROCEDURE:EXPERIMENT

Page 10: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

STEP TWO:EXPERIMENT RESULTS:RECORDED DATA

Did having multiple trials help make more accurate results?

Page 11: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

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 5 6.4 .64 .4096

2 5 6.5 .65 .4225

3 5 6.3 .63 .3969

4 5 6.3 .63 .3969

Page 12: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

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 20 9.7 .97 .9409

2 20 9.6 .96 .9216

3 20 9.8 .98 .9604

4 20 9.8 .98 .9604

Page 13: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

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 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

Page 14: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

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 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

Page 15: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

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 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

Page 16: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

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

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

Page 17: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY
Page 18: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

STEP TWO:EXPERIMENT RESULTS:RECORDED DATA

Finding out the value of “g”:4𝜋 2

𝑆𝑙𝑜𝑝𝑒

❑Formula:

4𝜋 2

4.04𝑚/𝑠𝑒𝑐2  =

= 9.771885546

Where did the formula come from?9.77

Page 19: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

What were the factors that affected the accuracy of our experiment?

ASSUMPTION & LIMITATIONS

What were our thoughts throughout the process?

Page 20: PENDULUM Featuring the PENDULUM Gravity Lab Presentation by David Bang Jessamyn Hung Mandy Lin Jennifer Yoon SWINGING WITH GRAVITY

Our hypothesis was correct! Using the ti me of one period, we were able to calculate a measurement of gravity. Our fi nal result for gravity was

CONCLUSION

9.77 /𝑚 𝑠𝑒𝑐2