Newton's second law can be used to explain this phenomenon. As mass increases, so does the force on the pendulum, but acceleration remains the same. It is due to the effect of gravity. Because acceleration remains the same, so does the time over which the acceleration occurs.
In a clock's pendulum the bob is often a hanging chunk of lead. The rest of the pendulum is as light as possible so that the wire the bob hangs from can be ignored. This is the approximation I indicated in the "Answer" above. Because of the great variety of electronic oscillators, the factors that determine the period depend on the circuit design. Matt Perdue is a medical student at an allopathic U. Beginning in , he began writing science-related articles for eHow.
He was also authored a paper for a medical journal exploring current recommendations for bone scans to diagnose osteoporosis. The calculation for the period T of a spring oscillating with a mass m is described as:. Related Articles History of the Pendulum. How to Calculate the Period of Motion in Physics. What Affects the Swing Rate of a Pendulum? For the same reason objects of different masses fall at the same acceleration neglecting drag : because while the force is proportional to the mass and the acceleration is inversely proportional to mass.
A very loose answer would be that the time period actually depends upon the angular acceleration and not the torque.
Similarly, the time period of a pendulum doesn't depend upon the mass, or rather the inertia of the pendulum, but only on the angular acceleration due to gravity.
Now you might ask that in this case, it should also not depend upon the length, but the term of length comes when you calculate the angular acceleration due to the acceleration of gravity. Any rigid object you want to consider can have its moment of inertia put in that form. We also see that this is not simple harmonic motion. Well the easy way is that the mass has a opposite affect when the bob goes up again on the other side.
The deacceleration and the acceleration will equal out so the period will always be the same what ever mass you have. Here you have a diagram to represent it. You drop the pendulum at B and it accelerates until it hits C then it will slow down. The mass will increase the deacceleration. So the acceleration and the deacceleration will equal out.
This is wrong. The Pendulum Formula is accurate and i give it credit, but its variables are broadly defined. T represents time or period, and g represents gravitational acceleration. I have no problem with those, but it's L that bothers me. Example 1. Measuring Acceleration due to Gravity: The Period of a Pendulum What is the acceleration due to gravity in a region where a simple pendulum having a length Strategy We are asked to find g given the period T and the length L of a pendulum.
Discussion This method for determining g can be very accurate. Making Career Connections Knowing g can be important in geological exploration; for example, a map of g over large geographical regions aids the study of plate tectonics and helps in the search for oil fields and large mineral deposits.
Take Home Experiment: Determining g Use a simple pendulum to determine the acceleration due to gravity g in your own locale. Check Your Understanding An engineer builds two simple pendula. Solution The movement of the pendula will not differ at all because the mass of the bob has no effect on the motion of a simple pendulum. PhET Explorations: Pendulum Lab Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing.
Click to run the simulation. Suppose you move from one city to another where the acceleration due to gravity is slightly greater, taking your pendulum clock with you, will you have to lengthen or shorten the pendulum to keep the correct time, other factors remaining constant?
Explain your answer. What is the length of a pendulum that has a period of 0. Some people think a pendulum with a period of 1. True or not, what is the length of such a pendulum? What is the period of a 1. How long does it take a child on a swing to complete one swing if her center of gravity is 4. The pendulum on a cuckoo clock is 5.
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