When the swing is raised and released, it will move freely back and forth due to the force of gravity on it. The swing continues moving back and forth without any extra outside help until friction (between the air and the swing and between the chains and the attachment points) slows it down and eventually stops it.

From the first scientific investigations of the pendulum around 1602 by Galileo Galilei, the regular motion of pendulums was used for timekeeping, and was the world’s most accurate timekeeping technology until the 1930s.

When the swing moves from the lowest point up to either peak, the main force acting is momentum; and when the swing falls from either peak to its lowest point, the main force acting is gravity. If you do not pump your legs fast enough, air resistance along with gravity will keep you down.

Huygens Invents the Pendulum Clock, Increasing Accuracy Sixty Fold. In 1656 Dutch mathematician, astronomer, physicist and horologist Christiaan Huygens invented the pendulum clock in 1656 and patented it in 1657. This technology reduced the loss of time by clocks from about 15 minutes to about 15 seconds per day.

Thomas Tompion (1639–1713) was an English clockmaker, watchmaker and mechanician who is still regarded to this day as the “Father of English Clockmaking”….

How do I keep my pendulum swinging?

1. Make it heavy (and, specifically, dense). The more mass a pendulum has, the less outside influences such as air resistance will degrade its swing.
2. Put it in a vacuum.
3. Use an escapement mechanism.
4. Give it a large initial swing.

Once the weighted end of the pendulum is released, it will become active as gravity pulls it downward. Potential energy is converted to kinetic energy, which is the energy exerted by a moving object.

Setting the beat of a grandfather clock is done the same way. Listen to the tick tock and change the clock leveling to to the left or right until an even tick tock is heard. You also may remove the pendulum and move the crutch with your finger to the left or right until the proper tick tock is reached.

A pendulum stops oscillating because it loses energy when it is converted into heat. Even without air friction, the friction which exists with the point around which the pendulum rotates causes the system to lose kinetic energy and eventually stop.

The pendulum stops eventually because of air resistance. The pendulum loses energy because of friction. Only in a theoretical situation when there is no friction the pendulum will oscillate forever.

T = 2π√(l/g), where l is the length of string of the pendulum and g is the acceleration due to gravity. So, when l is shorter, the time period of the pendulum decreases which means it has higher frequency which implies that it swings faster.

The present study establishes that natural frequency of a multiple pendulum increases with degree of freedom. Moreover, the natural frequency of a distributed pendulum is larger than corresponding to the point mass pendulum system.

Natural frequency is the rate at which an object vibrates when it is disturbed (e.g. plucked, strummed, or hit). A vibrating object may have one or multiple natural frequencies.

In general, a system with more than one natural frequency will not vibrate harmonically. i.e., the system vibrates harmonically, at the second natural frequency. The special initial displacements of a system that cause it to vibrate harmonically are called `mode shapes’ for the system.

square root of inverse of its length. Hint: The motion of a simple pendulum is a periodic motion about its mean position. Its natural frequency is provided by the component of gravitational force acting on it. This means that in the absence of friction, it will continue to oscillate with its natural frequency.

An object can have one or more than one natural frequencies. It depends on how many degrees of freedom does the system have. System with one degree of freedom has one natural frequency. System with 2 degrees of has 2 natural frequencies.

The effect of damping on resonance graph: The amplitude of the resonance peak decreases and the peak occurs at a lower frequency. So damping lowers the natural frequency of an object and also decreases the magnitude of the amplitude of the wave.

Longer pendulums swing with a lower frequency than shorter pendulums, and thus have a longer period. Starting angle of the pendulum-Changing the starting angle of the pendulum (how far you pull it back to get it started) has only a very slight effect on the frequency.

Which of the following changes would increase a pendulum’s frequency? Explanation: The only two factors that affect a pendulum’s frequency are the acceleration due to gravity (g) and the length of the pendulum’s string (L).

The swing rate, or frequency, of the pendulum is determined by its length. The longer the pendulum, whether it is a string, metal rod or wire, the slower the pendulum swings. Conversely the shorter the pendulum the faster the swing rate.

The mass of the bob does not affect the period of a pendulum because (as Galileo discovered and Newton explained), the mass of the bob is being accelerated toward the ground at a constant rate — the gravitational constant, g.

The frequency depends only on the force constant of the spring and the mass: So we are most likely to find the mass at the limits of its motion, and least likely to find it near equilibrium. This doesn’t depend on the amplitude of the oscillation, so the answer is the same for any energy.

0.5 Hz

How to calculate frequency

1. Determine the action. Decide what action you want to use to determine the frequency.
2. Select the length of time. Select the length of time over which you will measure the frequency.
3. Divide the numbers. To calculate frequency, divide the number of times the event occurs by the length of time.

A period T is the time required for one complete cycle of vibration to pass a given point. As the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships and can be expressed mathematically as: Period equals the Total time divided by the Number of cycles.

The period of a function f(x) is p, if f(x + p) = f(x), for every x. A function is said to be periodic if its value repeats after regular periods (intervals). The formula is Period, P = Period of parent function/ |Coefficient of x|

The formula for time is: T (period) = 1 / f (frequency). λ = c / f = wave speed c (m/s) / frequency f (Hz). The unit hertz (Hz) was once called cps = cycles per second.

Sound | Short/Long Answer Questions The number of times a cycle is completed in a second is the frequency. The time taken to complete one vibration is called time period. Frequency and time period is inversely proportional, the number of vibrations per second is frequency.