Ashu Mishra
B2 Physics
Pooja, Logan Meyer
Please read #'s 1-8 before you read the bottom section
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9. formula for solving the period of a pendulum
10. derivation from #9 to solve for gravity
The gravity is inversely proportional to the period Number 5 shows that if there is more gravity and everything else is constant then angular acceleration increases which can be assumed to reduce the period therefore gravity is inversely proportional to the period. This is proved by number 9 which is the formula for solving the period of an object in harmonic motion which pendulum motion fits into.
Length is proportional to the period Number 8 shows that length is inversely proportional to gravity. We have confirmed that gravity is inversely proportional to the period. Just like 2 minus signs equal a plus, two inversely proportional relations equal one proportional relation. Therefore is it evaluated that length is proportional to period.
Measuring the length
Mark a segment of the string with sharpie
Draw a pencil line on the center of gravity
While holding the pendulum hold it at the center of the sharpie mark
Press the center of the sharpie mark at the 2cm mark of the meter stick so the length will not be changed by the tilting of the ruler
Measure from the middle of the sharpie mark to the center of gravity do this while hanging the pendulum so it accounts for stretching
The measurements will be repeated 4 times
Taking Time
The person holding the pendulum will hold onto it by the middle of the segment highlighted by sharpie marker.
There will be one person taking time, another holding the pendulum, another recording time. The people will switch roles after each turn (this is will diminish the hesitation and anticipation bias)
The person taking time will give a countdown to the person holding the pendulum to let go.
The count on the number of oscillations will start from 0-10 at which point the