The period (time) of one swing of a pendulum is
(2 pi) times the square root of (pendulum length / acceleration of gravity). There are three variables in this formula ... the length of the pendulum, the period of its
swing, and the acceleration of gravity. If you know any two of them, you can calculate the
third one. You want to use this method to measure gravity ? Fine ! Massage the formula
around to this form Acceleration of gravity = (length of the pendulum) times (2 pi/period)2 then start measuring and swinging.
The more accurately you can measure the length of your pendulum, from the pivot
to the center of mass of everything that swings, and the period of its swing, and the
more completely you can isolate everything from outside influences, like air currents,
the more accurately you can calculate the acceleration of gravity, in the exact place where
you run the experiment.
The simple pendulum can be used to determine the acceleration due to gravity.
The period of a pendulum (in seconds) is 2(pi)√(L/g), where L is the length and g is the acceleration due to gravity. As acceleration due to gravity increases, the period decreases, so the smaller the acceleration due to gravity, the longer the period of the pendulum.
They determine the length of time of the pendulum's swing ... its 'period'.
-- friction in the pivot -- air moving past the pendulum -- the effective length of the pendulum -- the local acceleration of gravity
1. Length of the pendulum 2. acceleration due to gravity at that place
Finding the acceleration due to gravity by running an experiment with a simple pendulum will give you a figure that can be used to determine the mass of the earth
-- its length (from the pivot to the center of mass of the swinging part) -- the local acceleration of gravity in the place where the pendulum is swinging
Gravity can be measured many ways. You can drop an object and observe how it falls and determine the objects acceleration. With that in hand you can then calculate the force required, and measure gravity that way. You can use a scale, and determine the force acting upon the object placed on it to compress the springs a certain distance, or deflect it a certain distance (depending on the scale's design). A pendulum can be used to measure gravity. The period of a pendulum is directly influenced by the magnitude of the accelerating force (gravity) you can measure altitude with a sensitive pendulum. As gravity is a force, any method you would use to determine the force of one object exerting upon another would work to measure gravity.
For small swings, and a simple pendulum:T = 2 pi root(L/g) where T is the time for one period, L is the length of the pendulum, and g is the strength of the gravitational field.
The length of the pendulum, and the acceleration due to gravity. Despite what many people believe, the mass has nothing to do with the period of a pendulum.
You can use a simple pendulum, measure how long one period takes, then use the formula for a pendulum, and solve for gravitational acceleration.
The length of the pendulum, the angular displacement of the pendulum and the force of gravity. The displacement can have a significant effect if it is not through a small angle.