Oxford [etc.: Oxford University Press, 2005. Length, L is inversely proportional to period, T.īaker, Gregory L, and James A. It can be concluded that the value of the period, T depends on the length, L of the string. Random errors in the measurement of L could have also affected results. The values varied from the actual value of g because of inaccuracy in timing caused by air resistance and friction during the pendulum swings. The value of g was computed from the formula g = (〖4π〗^2 L)/T^2 for corresponding values of T and L. From the formula, it can be shown that the value of g is in direct proportion to the length, L of the string.įrom the results, it can be shown that the value T increases when the value of L is increased. The periodic time is computed from: T = 2π √(L/g) and that of g from: g = (〖4π〗^2 L)/T^2 (Goodwin et al. The time that elapses for a single cycle is called the period, T. The setup consists of a metallic sphere bob of radius, r, and a mass, M attached to a string of length, L. The aims of this lab are: (1) to find the acceleration of gravity by taking measurements of the period of a simple pendulum (2) to determine how the length of the pendulum relates with the period.Ī simple harmonic motion is exhibited by a simple pendulum when it moves in either direction from the point of equilibrium. Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, the strength of gravity, and the amplitude of the swing. Theory of Simple Pendulum Experiment When the bob is at rest hanging in a straight line, it is in its mean position. To find the acceleration due to gravity by plotting the L T 2 graph. towards the center of the earth with the same acceleration of gravity. The simple pendulum experiences a restoring force as the weight is displaced from the equilibrium position and back to it again (Baker et al. To observe that the time period varies with the length of the string attached to the pendulum. pendulum mass for a fixed length, and varied the pendulum length for a fixed mass. The Simple pendulum set up contains a string pivoted at one end and a mass joined to the other. This lab determines the acceleration of gravity, g from the motion of a simple pendulum. Posted: March 29th, 2021 Acceleration Due to Gravity of a Simple PendulumĪcceleration Due to Gravity of a Simple Pendulum
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