Pasco capstone uncertainty time
Length of string, L (m) Time for N oscillations (s) Period (s) (T) Measured horizontal distance, d. Table 1: Data for the spring recorded in the laboratory The mass of the spring was measured and recorded using the balance scale. The position of the mass and the hanger was changed and the last step was repeated once more. The position and velocity data for several oscillations was recordedĪ smaller amplitude oscillation was used and the amplitude and velocity data recorded until the amplitude decreased to half of its initial value. Gradients are found for each of theses lines (along with its error when using the unweighted method of least squares) and these values rearranged to find the value for gravitational Two lines of best-fit are to be found one using the standard high/low method and secondly one using the unweighted method of least squares. A graph needs to be plotted with the period of the y-axis and 2π√L on the x- axis leading to a gradient of 1/√g. An average period is found for each of these lengths along with their uncertainties using the equations (3) and (4). Ten oscillations are measured for each length and divided by ten and this is repeated ten times for each length. The length of the pendulum rod is increased every 2cm from 17cm until it reaches 25cm (i.e. Introduction In this experiment I am aiming to investigate the time it takes for a pendulum to complete one cycle of …show more content… Instead of the substitution of values into equation (1), a graph with the gradient of 1 divided by the square root of the acceleration of gravity is used. Three different values were achieved by these three different methods, 11.4, 6.7,14.8 and 8.4, compared to the accepted value of 9.8 ms^-2 (Torres, 2378). Using the derived equation for the period of a pendulum the gravity could be calculated. The period was measured by repeatedly timing the time it took for the pendulum to return to its original position once it was swung from a certain point (for the first method one oscillation was timed, however in the second and third ten oscillations were timed and the overall time was divided by ten the length of the pendulum rod was altered also for the third experiment to create a varied range of lengths). The value for the acceleration of gravity was measured in this report through the investigation using three different methods, each varying in accuracy, to calculate the period of a pendulum.