Lab Report

Abstract An experiment was performed to measure the acceleration due to graveness g. The acceleration due to solemness was determined statically by bar how the clock periods of the oscillations of a skunkdid pendulum shift with the aloofness of the pendulum. The resulting set of g extracted in the experiment was 9.757m/s², which is just 0.5% less(prenominal) than the theoretic hold dear, 9.81m/s². Introduction and Theoretical Background If gravity is the only take expose acting on an object, whence 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 affinity of the period of a trans equalityent pendulum to its length. By measuring how the cartridge clip 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 na me extension [1] the simple pendulum consists of a small bob of mass, m su put down by a light inextensible thread of length l from a fixed point. If the bob is drawn aside roughly 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 grap h T2 versus l (i.e. T2 on the y axis and l o! n the x axis). The upshot 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 expound and method...If you want to breed a full essay, order it on our website: OrderEssay.net

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