AIM: Finding the gravitational field strength by using a simple harmonic motion of a spring and slotted masses. INTRODUCTION: When a mass suspended from a spring is displaced, due to the acceleration, kg s-2, from its equilibrium and released it will oscillate up and down with a kind of motion called simple harmonic motion, shm. The period (T), time taken to measure for one complete oscillation, of this motion is: m/kg = mass of the oscillating system k/Nm−1 = force constant of the spring.
Hooke’s Law tells that the force acting on the spring is proportional to the extension of the spring; mg=ke Mass is the amount of matter contained in an object and its SI unit is kg. Gravitational field strength, g, is caused masses and the g at the surface of a planet must be the same as the acceleration due to gravity on surface. Therefore;
PROCEDURE: First of all locate the clamp on the stand make sure that the clamp is tightened. Then hang the spring on the clamp. Attach a mass hanger directly to the bottom of the hanging spring and then add a 100 g mass. Start with a 100g mass and measure the extension of spring by ruler then release the spring slowly in order to not to damage the spring. The spring will oscillate due to the acceleration, by using a stopwatch record the time taken for twenty complete oscillations. Then repeat this whole process with time same size of mass, you have to do two trials to narrow the uncertainty. Then add 100 g masses one by one to the mass hanger and record the extension of the spring and the time taken for that size of mass to complete twenty oscillations. You will be given an unknown mass and also record the time taken of that mass to oscillate twenty times. After you gather the data needed, you will sketch a T2 versus extension graph. VARIABLES:
The Essay on Simple Harmonic Motion
Abstract Through examining the simple harmonic motion of a mass hanging on a spring, three investigations were conducted in the experiment. The experiments include the relation between the period in oscillations and mass, and figuring out if the period vs. mass graph should go through the origin and lastly, finding the mass needed to create a one second timer. It was investigated by placing a ...
Dependent Independent Controlled Period Extension Making sure that spring oscillates vertically only because simple harmonic motion takes place when the acceleration of object is always directed towards its displacement from a fixed point.
DIAGRAM:
CONCLUSION:
Simple harmonic motion is defined as the motion takes place when the acceleration, a, of object is always directed, towards, and proportional to, its point. Overall, the purpose of this experiment was to find the acceleration due to the gravity using a coil spring. The acceleration is equal to g since there is not any external force besides gravity acting on the spring. Differences existed in the experimental graph of the g from the actual g. These differences can be accounted as a random error also I could not press the timer at the exact time but it would not affect the accuracy of the experiment. The percentage error is 11%. The real value of g is measured as 9.8234 ms-2, as it is given on lab report instruction sheet. The experimental value of the g is calculated as 10.96 ms-2 ± 0.35 ms-2uncertainty.
EVALUATION:
The uncertainty of the extension is ±0.1 cm this might had an impact on the extension measured however this would not create a significant impact on the value. The ±1% accuracy of the masses might also had an impact on the calculation since the length of extension is proportional to masses and extension is caused by masses it might cause a calculation error. In the experiment a stopwatch is used to calculate the period of 20 complete oscillations however the reflex of a person pressing the stop button can differ so this creates a random error. The uncertainty is ± 0,35 ms-2, this means that there are no systematic errors.
IMPROVING THE INVESTIGATION:
Since the precision and accuracy are related with random and systematic errors, minimizing these errors would make the experiment more accurate and precise. To reduce the random errors or to minimize them, the number of trials can be increased so the observer’s possibility of making a mistake would be minimized. To reduce the systematic errors adequate instruments should be used so misreading would not occur.
The Essay on Acceleration due to gravity 2
Abstract The purpose of this lab is to calculate the acceleration of gravity using the Smart Timers. Drops of ball of equal size and start drops at one hundred centimeter height, the amount of time was counted used the Smart Timers. Repeat the same procedure ten times; the amount of times was counted used the Smart Timers. After compared these data were compared, result is the data has about 0.01- ...
