A random error that occurred was that one group member released the object, not in synchronization with the ticker timer which may have hindered the process of dots being recorded on the tape. The anticipated error was that the numbers would have been rounded and not completely accurate.Īnother systematic error is that the ruler is not 100% accurate when measuring it may be off by. One error might be in the calculations in Table 1. ErrorsĪfter performing the experiment, several errors were noted. We know that velocity changes with t = time and displacement changes with v = velocity. Given the formula vf = vi +at and d = (vf +vi/2). Due to a change in velocity, there was a change in displacement. This was because as time increases, velocity changed at a constant rate. The change in velocity of an object in free fall was directly proportional to the displacement. The velocity position graph (refer to graph 2) was curved because changing velocity means change in slope.ĥ. The slope of the velocity time graph was accelerating 6.74 m/s^2. The relationship between the change in velocity and elapsed time was that the velocity increases constantly as the time increases therefore they were proportionate.ģ. It was heading in a positive direction (refer to graph 1).Ģ. The velocity-time graph is in a straight line, meaning it was going at a constant acceleration. Therefore the acceleration throughout was 6.74 m/s^2 this may be caused by experimental errors and calculation errors.ġ. = 674 cm/s^2 (*note: To convert into meters, I divided (674 cm/s^2) by 100) Therefore at 0.2s, the average velocity was 92cm/s.Īcceleration was found by finding the slope of the velocity time graph. To find average velocity I did the following: One example calculation would be at 0.2 seconds, when displacement is 9.2cm. Position from the start (cm)Īverage velocity was found by dividing change in time by displacement. I measured and recorded the position from the start of the tape corresponding to each half time interval and then plotted a velocity-position graph using the velocities I recorded. Different masses of the object hanging from the string have no effect on the period.I calculated the slope of the velocity-time graph, which gave me acceleration in cm/s^2. Hypothesis: Since the length of the string which the mass is hanged on is shortened, the magnitude of the period for the simple pendulum gets increased.Aim: To determine the effects or contribution of the length of the string on the period for the simple pendulum and find out a mathematical relationship between the length and the period.It is also used for entertainment and religious practice. means that the pendulum frequency is different at different places on Earth), seismology, scholar tuning, and coupled pendula.The most widespread applications of the simple pendulum are for timekeeping, gravimetry (the existence of the variable g in the period equation of simple pendulum. However, it is affected by the length of the string which the mass is hanged on and the acceleration of gravity. In addition to the initial angle of the mass, the period doesn't depend on the mass of the object. The frequency and period for the simple pendulum are the independent of the initial angle of the movement (initial position of the mass to the vertical reference line). The motion can be approximated as a simple harmonic motion if the pendulum swings through a small angle (so sin (ө) can be approximated as ө). When the mass hanging from the string is released with an initial angle, it starts to move with a periodic motion. ![]() ![]() During the 17 th century, it is developed by some physicist, especially by Galileo. General Background: A mass m hanging from a string whose length is L and a pivot point on which this mass is fixed are what a simple pendulum (which was discovered during the 10 th century by Ibn Yusuf) consists of.
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