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v = L(2π/T) Hence, since v, and L does not change, the period (T) does not change too.
:3 Relationship between displacement and time for a pendulum length of 52.5 cm. Laboratory 7, Problem 3: How does the Period of a Pendulum change when the Length of String is varied? #20346 2 Position of Pendulum of Length 52.5 cm 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0123 Time (s) P o s i ti on (m) 4 Figure 3. The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. A pendulum that is twice as long as another pendulum does not simply have a period that is also twice as long. Okay so Im writing up some science H/W and I need to know why the length of string on a pendulum would affect the period of its swing. Why does the length of string on a pendulum affect the period of the pendulums swing. am I right? Hope this was what you were looking for :) Sorry that it is so messy. Investigating the Effect of String Length on Pendulum Period Chunyang Ding IB Candidate Number: 000844-132 Mr. O’Byrne IB Physics SL Period 3 . The period of a pendulum is proportional to to the square root of its length and is described by the equation: P = 2π × √ L / g where pi is 3.1415 and g is the force of gravity. The distance between the pivot point and the bob is the pendulum's length (L). Ding 2 I will be investigating the effect of the length of a pendulum’s string on the time for the period of that pendulum. The time it takes a bob displaced from equilibrium to to complete one full swing is the pendulum's period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period. Thus, v = Lω, where L is the length of the pendulum string. The length of a pendulum directly affects its period because the longer the length of the pendulum, the longer the period will be. Im guessing that the more string there is, the more wind resistance acts upon it, and slows down the pendulum. Two pendula with different masses but the same length will have the same period. where T is the time period, L is the length of the pendulum, and g is the gravitational constant.
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