An experiment was performed to measure the acceleration due to graveness g. The acceleration due to gravity was determined statically by measuring how the clock periods of the oscillations of a candid pendulum shift with the aloofness of the pendulum. The resulting value of g extracted in the experiment was 9.757m/s², which is just 0.5% less than the theoretic value, 9.81m/s².
Introduction and Theoretical Background
If gravity is the only take out acting on an object, then we find the object allow for accelerate at a rate of 9.81 m/s². This value is known as the acceleration of gravity and is denoted by the symbol, g. This constant appears in the relationship of the period of a simple pendulum to its length. By measuring how the time periods of the oscillations of a simple pendulum vary with the length of the pendulum a value for the acceleration due to gravity g can be extracted.
As discussed in file name extension [1] the simple pendulum consists of a small bob of mass, m suspend by a light inextensible thread of length l from a fixed point. If the bob is drawn aside slightly and released, it oscillates. The time period T (in seconds) for one round out oscillation of a simple pendulum is given by;
T=2? ? l/g
Where l is the length of the pendulum (in meters) and g is the acceleration due to gravity (in m/s²).
This par is only valid when the angles of oscillation are small, i.e. ? does not spend 10°. Squaring the equation for the period T gives,
T2 = (4?2/ g) l
A fairly accurate determination of g can be made by measuring T for different determine of l and plotting a graph T2 versus l (i.e. T2 on the y axis and l on the x axis). The resultant should be a straight line which passes through the origin, with a slope (G) of (4?2)/g. The value of acceleration due to gravity g is then,
g= 4?2/G
From a measurement of the gradient G of the graph it is possible to extract a value for the acceleration due to gravity g.
Experimental details and method...If you want to breed a full essay, order it on our website: Ordercustompaper.com
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