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