Estimation of the value of gravitational acceleration g based on Essay

Estimation of the value of gravitational acceleration g establish on measurements from a simple pendulum - Essay ExampleAlthough the results obtained deviated slightly from the documented values, various sources of mistakes were discussed to account for the error noted. It was concluded that prior to accurate measurement of the quantities involved and reduction of reaction beat during measurement, a more accurate value for gravitational acceleration can be evaluatedDisplacement of a pendulum from its equilibrium side results in a restoring force that is due to gravitational pull that maintains it in a swinging mode. The combining of force of gravity and the mass of the pendulum causes it to oscillate constantly about the equilibrium position (Homer & Bowen, 2014). The digressicular time required to make one complete oscillation is known as the period. Which can also be determined using equation (1) below.Equation 2 above implies that plotting a graph of the square of periodic t ime T against the length l of the pendulum is a straight line whose gradient is equal to. employ the gradient from the chart, the gravitational acceleration g can be evaluated.The measurement of error in physiologic quantities involved is important in determining the accuracy of the results obtained. The error is usually taken as the model deviation of the measurements. Therefore the error in measurement of length can be determined by equation 3 belowPendulums find many applications in the world including the fact that their regular effort are used to regulate pendulum clocks (Homer & Bowen, 2014). Other applications are typical in seismometers, gravimeters, and accelerometers.As part of the hypothesis, the experiment seeks to determine the gravitational acceleration based on hypothesis that there is a kin between the periodic time and length of the pendulum in determining the gravitational acceleration. In this research it is assume that the amplitude of displacement for each trial is the same.The classic setup, for studying