The relationship between the length and the period of motion of a pendu

interpolation I chose to investigate this topic out of pure curiosity to command how the length of a pendulum affects its period of apparent movement. A pendulum is a suspended headway of mass, hung from a fixed point on an inextensible cord. When it is pulled and released from one slope of its equilibrium, at x, the pendulum swings back and forth on a erect plane under the influence of gravity (La N Powers, 2006). The motion is cyclic and oscillatory I am determining the oscillation or other than known as the period of motion (Resnick & Malliday, 1977, pp. 310-311). The period of motion is the step of cadence taken to swing back and forth once, measured in seconds and symbolised by T (Kurtus, 2010). Galileo discovered pendulums and he found that the period of motion is proportional to the square root of the length - Tl (Morgan, 1995). payable to the research carried out, I have discovered that the correct method of meter the main(a) variable (length of the string) is fro m the fixed point it is hung from (fulcrum) to the center of the mass (Cory, 2004)(Encyclopedia Britannica, 2011). The conventionalism F=-mg sin shows that when a pendulum is displaced from its equilibrium, it is brought back to the center by restoring puff (Pendulum, 2008). Newtons second law, F=Ma=(d2 (L))/(dt2 ) , shows that the arc which the pendulum swings through is actually a segment of a company with the radius being the length of the pendulum. The combination of these formulae demonstrates that the mass of a pendulum is independent to its period of motion (Encyclopedia Britannica, 2011). I concluded from this that a specific tip for my pendulum is not necessary, although it must remain constant. As seen in the above equation, this restoring commit is... ...of motion (T), measured in seconds and milliseconds. Time is recorded for five periods and averaged (T=t/5). Repeated five times for each length and averaged. Constant variables the environmental conditions (enclo sed indoor area), the weight of the pendulum, repeated the same amount of times for each length, released from 10, and the pendulum is released with the same tension in the string each time Equipment 160cm of 8 strand braided nylon bricklayers line17.07grams worth of 5/16 zinc plated mudguard washersScientific scales reading from 100-0.01gramsA stop watch measuring to the millisecondsSpring clamp with a passel in the administerBlu-Tack180 protractor A capable assistant Stool (if needed)Procedure clinch the spring clamp to an object over 160cm high without obstructions underneath and with the hole facing downwards.