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Why does the period of a pendulum depend on length?

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Asked By: Omkeltoum Galarraga | Last Updated: 19th April, 2020
(Increase the length of the string and increase the angle.) The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)





Simply so, why does length affect period of pendulum?

The length of the string affects the pendulum’s period such that the longer the length of the string, the longer the pendulum’s period. 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.

Secondly, how can the time period of a pendulum be increased or decreased? Time period of a pendulum can be increased or decreased by changing th elength of the string of pendulum. The time period of the pendulum decreases as the length of the string increases and it increases as the length of the string decreases, hence time period is inversely proportional to the length of the string.

Subsequently, one may also ask, what factors affect the period of a pendulum?

The only things that affect the period of a simple pendulum are its length and the acceleration due to gravity. The period is completely independent of other factors, such as mass.

How does the period of a pendulum relate to the square root of the length factor?

When analyzed, the pe- riod of the motion was found to be given by two multiplied by Pi multiplied by the square root of the quantity of the pendulum’s length divided by the acceleration due to gravity. Therefore, the period, or time to complete a full oscillation, of a pendulum was found to be dependent on its length.

How are pendulums used in real life?

One of the most common uses for pendulums is to tell time. The first pendulum clock was built in the 1600s, and it was the most accurate way to tell time for nearly 300 years. Since the motion of a pendulum is a constant time interval, a pendulum inside a clock can keep the hands running on time.

Do longer pendulums swing faster?

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. On grandfather clocks with long pendulums or clocks with shorter ones, the swing rate depends upon the pendulum’s length.

What makes a pendulum move?

The Earth’s gravity attracts the pendulum. This means that since the pendulum is now in motion, it keeps moving, unless there is a force that acts to make it stop. Gravity works on the pendulum while it is moving. The moving force becomes less as the force of gravity acts on the pendulum.

What is the period of a pendulum?

The Period of a Pendulum. A simple pendulum consists of a light string tied at one end to a pivot point and attached to a mass at the other end. The period of a pendulum is the time it takes the pendulum to make one full back-and-forth swing.

What is the mean of oscillation?

Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples of oscillation include a swinging pendulum and alternating current.

How long can a pendulum swing?

The exact periods of your longer and shorter pendulums may be slightly less than 1.7 seconds and 1.2 seconds, respectively, because of friction and because their lengths were less than 70 cm and 35 cm (due to strings being used to tie to attachments).

How does weight affect distance?

How Does Weight Affect Distance? The weight of an object influences the distance it can travel. Objects with a higher mass-density therefore travel faster and farther than those with a low mass-density, but only if they are launched with an infinite amount of force.

How does mass affect speed?

2 Answers. Mass doesn’t affect speed directly. It determines how quickly an object can change speed (accelerate) under the action of a given force. Lighter objects can do with weaker force to change speed by a given amount in a given amount of time.

What affects the period of oscillation?

Examining the equation reveals that the period of oscillation is directly proportional to the length of the arm and inversely proportional to gravity; thus, an increase in the length of a pendulum arm results in a subsequent increase in the period of oscillation given a constant gravitational acceleration.

What is the pendulum theory?

Also called pendulum law. a law, discovered by Galileo in 1602, that describes the regular, swinging motion of a pendulum by the action of gravity and acquired momentum. the theory holding that trends in culture, politics, etc., tend to swing back and forth between opposite extremes.

What is a period?

Simply put: A period is when a woman’s body releases tissue it no longer needs. Every month or so, the uterus lining gets thicker to prepare for a fertilized egg if the woman becomes pregnant. If the egg doesn’t get fertilized, that lining is released from the body as blood through the vagina.

How do pendulums work?

A pendulum works by converting energy back and forth, a bit like a rollercoaster ride. When the bob is highest (furthest from the ground), it has maximum stored energy (potential energy). So as the bob swings (oscillates) back and forth, it repeatedly switches its energy back and forth between potential and kinetic.

What forces act on a pendulum?

In pendulum motion, three forces work directly on the pendulum: the mass of the bob, gravity and the tension in the string. Mass and gravity both work vertically downward. Since the pendulum doesn’t move up or down, the vertical component of the string tension cancels out the mass and gravity.

Does amplitude affect period?

The period does not depend on the Amplitude. The period depends on k and the mass. The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same.

What is a period in physics?

From Wikipedia, the free encyclopedia. A time period (denoted by ‘T’ ) is the time taken for one complete cycle of vibration to pass a given point. As the frequency of a wave increases, the time period of the wave decreases. The unit for time period is ‘seconds’.

What is the Bob’s maximum speed?

Once the bob reaches position A – the maximum displacement to the right – it has attained a velocity of 0 m/s. Once again, the bob’s velocity is least when the displacement is greatest.

How do you calculate time period?

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.

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