# why does length affect the period of a pendulum

Length of the pendulum -Changing the length of a pendulum while keeping other factors constant changes the length of the period of the pendulum. Aim. In an idealized world the bob is spherical and has a uniform distribution of mass. Factors affecting the time period of a pendulum. imagine something spinning, or … The aim of this investigation is to find the relation between the length of the pendulum and period of a simple pendulum. The empirical law of a simple pendulum, which was revealed after experimentation had concluded, written: T=2.00√l+0 means that the time, T, of the period of the simple pendulum equals twice the square root of the length. The length of time taken for a simple pendulum to finish a period cannot be hypothesized on the laws of physics alone. Can someone please help me explain this. Imagine setting the initial angle at exactly $\pi$ radians. of a pendulum affect its period. We decided to test the simple harmonic motion of a pendulum. These Movies and Shows Can Help You Make Sense of Confusing Economic Concepts, Understanding Trustees' Duties and Responsibilities in Managing a Trust, Estate Planning 101: How to Probate a Will, The Differences Between “Defamation,” “Libel” and “Slander”. [pic] Many factors can affect the time period of the pendulum. Changing the length of the pendulum changes its period. The longer the pendulum, whether it is a string, metal rod or wire, the slower the pendulum swings. The period of swing of a simple gravity pendulum depends on its length, the local strength of gravity, and to a small extent on the maximum angle that the pendulum swings away from vertical, θ 0, called the amplitude. Effect of Pendulum Length on Period By Austen Le Period 2 Lab Partner: Robert Zalog Background: A pendulum is a structure composed of an object with mass called a bob, connected to a pivot by a rod from which the object can swing freely from side to side. Write a hypothesis: As the length of the pendulum _____ the number of swings_____. The period is found to increase roughly as the square root of the length, in agreement with theory. I use and emphasize the word "simple", because the contrary is a physical pendulum. The units for period are: # of seconds / 1 complete back-and-forth swing. How do you think the changed length will affect the pendulum’s behavior? The period of a pendulum is given by the formula T = 2 * pi * sqrt(l / g),where l is the length of the string, and g is about 9.81 m/s-2 . Only the length of the pendulum's string matters. Once you have determined which one (s) affect the period, you are also going to determine how they affect the period. The longer the length of the string, the longer the time it will take to complete one the stopwatch is set to 0 and draw up a table to record the results. What this does is What is the physics behind mass not affecting the period? Adjust the length of the pendulum from 4 inches to 3 inches. There may be only one component which affects the period, there may be two, or perhaps all three affect the period. Students might wonder why the length of the string is the only thing that affects a pendulum's period. PART 2 Length and Number of Swings: How does the length affect the number of swings? The period of a pendulum is given by the formula T = 2 * pi * sqrt(l / g),where l is the length of the string, and g is about 9.81 m/s-2 . The path of the pendulum is like an arc on the bottom of circle, with the piece of string as a radius. Since T = 2 • pi • SQRT(L/g), increasing the length of the string increases the period. The pendulum does this because of inertia, which is the tendency of mass to stay in motion when a force acts upon it. He timed the period of the oscillation during both instances with his heartbeat and found the number of beats per period was roughly the same when swinging widely and moving less distance. The mass that is hanged from the pendulum is constant and 250g for each trial. The reliability of pendulum clocks is based on the predictable relationship between the length of a pendulum and the time it takes the pendulum to complete one full swing. Reason: The time period of a pendulum doesn’t depend upon the mass. Does string length affect the period of a pendulum is allow For example, starting the bob higher only changes the frequency a little bit. The swing rate, or frequency, of the pendulum is determined by its length. For this activity the mass should stay the same but the length will change each time. Long length pendulums swing with a smaller frequency and therefore have a longer period. As with simple harmonic oscillators, the period T for a pendulum is nearly independent of amplitude, especially if θ is less than about 15º. A pendulum is something that hangs from a fixed point and has a mass, or bob, at the other end. Related Links: Why Does Pressure Increase Freezing Point: Why Does Reactivity Increase: Why Does Scandium Have A 3plus Charge: Why Does … The mass of a pendulum does not affect the period. Introduction: I chose to investigate this topic out of pure curiosity to see how the length of a pendulum affects its period of motion. Does mass affect the period of a pendulum? Students might wonder why the length of the string is the only thing that affects a pendulum's period. 4. When the amplitude is this small, it does not affect the period of the pendulum. am I right? The time period of a pendulum is the time taken for the pendulum to swing from the first position, A, through positions B and C and back to position A again. A lower frequency causes a longer period and a slower rate of swing. A pendulum's period is related to its length, but the relationship is not linear. Who Is Alexa — and What Does Amazon's Virtual Assistant Say About the Future of AI? Why Is the Keystone XL Pipeline Still So Disputed? A simple pendulum is simplified such that all of its mass is concentrated at the "bob", a distance L away from the pivot point. One more thing you should notice, amplitude does not affect the period of a mass on a spring, and the amplitude, this theta maximum will not affect the period of a pendulum either, as long as your amplitudes are small. In 1581, Galileo discovered that the period and frequency of a pendulum is unaffected by the amplitude while watching a chandelier swing during a church service. Do not include any formula as it simply demonstrates how this may be calculated not WHY. A pendulum's length affects its period and frequency much more than other variables do. A pendulum is a suspended point of mass, hung from a fixed point on an inextensible cord. Why does the length of a pendulum affect the duration of its period? A simple pendulum is modeled by physicists as a point mass suspended from a rod or string, which has negligible mass. What you will find is that the number you get is the same as the first number you counted. When amplitudes were between 0 o - 30 o I noticed no significant change in the period of the pendulum; however, when the amplitude was raised to 45 o and beyond I noticed a significant change in the period. When a person pulls the bob back, the force of gravity accelerates the bob down and causes it to accumulate momentum. Use can use a stone, a piece of wood, an eraser, and a piece of chalk to get different masses. This is the currently selected item. Long length pendulums swing with a smaller frequency and therefore have a longer period. The mass of a pendulum's bob does not affect the period. Also, the material of the masses that are hanged from the pendulum is iron for each. The period increases slowly in a complex manner with amplitude. The length of a pendulum affects its swing because longer pendulums swing at lower frequencies. This is because the period of a pendulum is only affected by the length of the string and the force of gravity. Hypothesis: I believe that an increased string length with result in a longer period. The distance between the pivot point and the bob is the pendulum's length (L). Why? Does the length a pendulum change the time it will swing back and forth? 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. In a simple pendulum, which can be modeled as a point mass at the end of a string of negligible mass and a given length, the amplitude is normally only a few degrees. distance. Take note that the frequency is the reciprocal of period. The period of a pendulum is proportional to to the square root of its length … meaning if we changed the length of the string, that will affect … Overview of key terms, equations, and skills for simple pendulums, including how to analyze the forces on the mass. We have conducted an experiment in class, looking at Simple Harmonic Motion. Longer pendulums swing with a lower frequency than shorter pendulums, and thus have a longer period. Purpose: This lab will help you discover which of the following three variables (Length, Angle of Drop, Mass of Pendulum) will affect the period of a pendulum. The mass of a pendulum doesn't affect the period because the force that acts on the pendulum is gravity. Newton's second law can be used to explain this phenomenon. How does the length of pendulum which is ranged between 10cm and 50cm affect the period of a simple pendulum that is detected by taking time for 10 oscillations and calculating 1 oscillation time? Next lesson. How does string length affect the period time of the pendulum? One possible approach to explain why the period does increase with initial angular starting off point is to imagine a pendulum where the string is made of taut wire. In this case the pendulum is in exact equilibrium and you may then say that the period is infinite. This can be explained by examining possible effects of each of the three variables: the length of the string, the mass of the bob, and the angle displaced. This system is considered a resonant system with a specific resonant frequency, which means that depending on the length of the string or rod, the pendulum will swing within a specific range of oscillation values, as commonly observed in clocks. We decided to test the simple harmonic motion of a pendulum. A pendulum's frequency is the number of periods it completes in a certain amount of time. This can be explained by examining possible effects of each of the three variables: the length of the string, the mass of the bob, and the angle displaced. Independent Variable Regardless of the weight of the pendulum bob, otherwise known as the weight at the end of the string, the deciding factor of the period of the swing is length, as it is the only variable in the stated equation. Yes, the length of pendulum affects the period. My independent variable would be the length of the string, as that would be the The mass on a pendulum doesn’t affect the swing of the pendulum. When this period formula is derived from the pendulum equation of motion, the dependence of the mass of the bob cancels out. For small swings, the period is approximately 2 pi square-root (L/g), so the period is proportional to the square root of the length. Naively, one might expect rather : The time it takes (in seconds) for a pendulum to make one complete back-and-forth swing. The effect of rod length on pendulum period was tested by recording 3 swinging pendulums of different lengths and using a high speed camera to find the period of each pendulum. (It is due to the effect of gravity.) where T is the time period, L is the length of the pendulum, and g is the gravitational constant. If the rod or string has a significant mass, then it must be modeled differently. While it seems counter-intuitive, it is important to remember that the mass of the bob does not affect the period of a pendulum. At higher angles however, the period $T$ increases with increasing $\theta$. The illustration below explores the relationship between a pendulums period * as the force of gravity and its length is varied. G is the acceleration due to When raised to 45 o the period increased to 2.11 s from the average time of 2.00 s. At 75 o the period rose to 2.26 s. The length of the pendulum is directly correlated to its period as per the pendulum equation: T = 2π√(L/g), where T is the period of the pendulum, L is its length, and g is the gravitational constant 9.8 m/s2. A pendulum that is twice as long as another pendulum does not simply have a period that is also twice as long. Click and conduct the following investigation. There's an inertia term on top, a force term on the bottom, and they both affect the period in the same way. Can someone please help me explain this. The relationship between the length and the period of motion of a pendulum 1085 Words | 5 Pages. The period simply equals two times pi times the square root of the length of the pendulum divided by the gravitational constant (9.81 meters per … Sort by: Top Voted . Practice: Period and frequency of simple pendulums. Now you might think why does mass not affect the period of a pendulum? 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