The period was measured in seconds, with the stop clock measuring to the degree of two decimal places of a second. The results of the regression analysis are shown. A pendulum with a longer string has a lower frequency, meaning it swings back and forth less times in a given amount of time than a pendulum with a shorter string length. Many students believe that changing any of the variables string length, mass, or where we release the pendulum will change the frequency of the pendulum. Obviously, the greater the mass, the less any air friction or friction at the pivot will slow the pendulum. This also affects the frequency of the pendulum, which is the rate at which the pendulum swings back and forth. Whatever potential energy is lost in going from position A to position D appears as kinetic energy.
Find the slope of your straight line, and note down the equation which relates the two variables. Yes No Thanks for your feedback! The Sinusoidal Nature of Pendulum Motion In , we investigated the sinusoidal nature of the motion of a mass on a spring. Dependent variable: Time period of the pendulum. It affected the literal, philosophical and social points of view in a way that some of its major doctrines are still living on and has its followers. Evaluation I think that the experiment went well, however if I were to do it again I would allow myself more time so that I could see if my prediction about the length of the string was correct. Maybe you can think of some new ways to use a pendulum, too! Now your intuition should tell you what's going to happen but even if it doesn't you can plug this value into your equation for the pendulum's period to find out what happens …. Engineers also use inventions and discoveries to build new things.
The type of structure that develops will be one that provides. In each plot, values of period the dependent variable are placed on the vertical axis. Organizational size The larger an organization becomes, the more complicated its structure. Factors affecting the time period of a pendulum Aim: To investigate the factors affecting the time period of a pendulum. Equation for the line of best fit, with T instead of y, and root L instead of x. Repeat for the two other bobs, keeping the string length and amplitude constant.
Now here come the words. A pendulum is a string hanging from a fixed spot with a weight called a bob at one end that can swing back and forth. Give them a chance to debate and discuss their answers before continuing. In Taiwan's capital city, the Taipei 101 skyscraper has a giant 726-ton pendulum suspended over the 88th floor to counteract winds, reducing the building's sway and keeping motion sickness at bay. The graph will be generated automatically. You will have to make your own table and graph for this use the following page on excel — it is unlocked.
The acceleration of gravity is the force gravity exerts on an object. For each bob you should have: 3 period data points, the average value of those data points and the average deviation. Last modified: April 6, 2018. Just as objects with different masses but similar shapes fall at the same rate for example, a ping-pong ball and a golf ball, or a grape and a large ball bearing , the pendulum is pulled downward at the same rate no matter how much the bob weighs. Results 100g 200g 300g 400g 500g Attempt 1 20 33.
So as the bob swings to the left of its equilibrium position, the tension force is at an angle - directed upwards and to the right. Today, we will follow in Galileo's footsteps to learn about how pendulums behave. As you swing, you smoothly ride from the top of one arc, through the bottom, to the top on the other side of the swing, and back again. The momentum built up by the acceleration of gravity causes the mass to swing in the opposite direction to a height equal to the original position. Ask for ten volunteers from the class to come up to the front of the room, and give each person one of the pieces of paper. This force is known as inertia. Either way the principle of periodic motion affects the pendulum.
I think this will happen because the bigger the string, the greater the distance the pendulum needs to travel and so the more time it will take. The back and forth swinging motion of the bob of a pendulum. Today, engineers use pendulums in clocks, but they also use them for detecting earthquakes and helping buildings resist shaking. By so doing, the experimenters were able to investigate the possible effect of the mass upon the period. As the amplitude of the pendulum increases, the period increases. Suppose that the performers can be treated as a simple pendulum with a length of 16 m. The time period of a pendulum is directly proportional to thesquare root of its length.
If you increase the length four times, you will double the period. The shape of the curve indicates some sort of power relationship between period and length. Give attention to your algebra: Square both sides of the equation to remove the radical. Lexical processing consists of 3 main components, identifying, naming, and understanding. The possessed by an object is the energy it possesses due to its motion. In other words, the height must be measured as a vertical distance above some reference position. Measure the period as above for at least 5 different angles, ranging between 10-40 degrees.