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The derivation of the simple formula for the period of the pendulum requires the angle, theta (in radians) to be small so that sin(theta) and theta are approximately equal. There are more exact formulae, though.

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How does height affect the period of a pendulum?

Height does not affect the period of a pendulum.


Which factor affects the period of the pendulum?

The period of a pendulum is affected by the angle created by the swing of the pendulum, the length of the attachment to the mass, and the weight of the mass on the end of the pendulum.


How does the length of a pendulum affect the frequency?

A longer pendulum will have a smaller frequency than a shorter pendulum.


How much time it take if the pendulum is relesed at angle 1.75 degrees instead of 3.5 degrees?

The period of the pendulum is unchanged by the angle of swing. See link.


How does length and initial angle affect the period in a simple pendulum?

The longer the pendulum is, the greater the period of each swing. If you increase the length four times, you will double the period. It is hard to notice, but the period of a pendulum does depend on the angle of oscillation. For small angles, the period is constant and depends only on the length of the pendulum. As the angle of oscillation (amplitude) is increased, additional factors of a Taylor approximation become important. (T=2*pi*sqrt(L/g)[1+theta^2/16+...] and the period increases. (see hyper physics: http://hyperphysics.phy-astr.gsu.edu/hbase/pendl.html) Interestingly, if the pendulum is supported by a very light wire then the mass of the object at the end of the pendulum does not affect the period. Obviously, the greater the mass, the less any air friction or friction at the pivot will slow the pendulum. Also interestingly, the pendulum period is dependant on the force of gravity on the object (g). One must not assume that g is constant for all places on Earth.

Related Questions

List 3 things that you could changemanipulate about a pendulum?

Adjust the length of the pendulum: Changing the length will alter the period of the pendulum's swing. Adjust the mass of the pendulum bob: Adding or removing weight will affect the pendulum's period. Change the initial angle of release: The angle at which the pendulum is released will impact its amplitude and period.


What makes a pendulum swing?

A pendulum swings due to the force of gravity acting on it as it moves back and forth. When the pendulum is released from a raised position, gravity causes it to fall and start swinging. The length of the pendulum and the angle at which it is released also affect how it swings.


What are the 4 main factors that affects the pendulum?

The four main factors that affect a pendulum are its length, mass of the pendulum bob, angle of release, and gravity. These factors determine the period and frequency of the pendulum's oscillations.


How does the angle of the bob affect the period of pendullum?

The period of a pendulum is not affected by the angle of the bob. The period depends only on the length of the pendulum and the acceleration due to gravity. The angle of the bob will affect the maximum height the bob reaches, but not the time it takes to complete a full swing.


Does amplitude effect the period of a pendulum?

No, the amplitude of a pendulum (the maximum angle it swings from the vertical) does not affect the period (time taken to complete one full swing) of the pendulum. The period of a pendulum depends only on its length and the acceleration due to gravity.


What 3 variables that might affect the number of cycles the pendulum makes in 15 seconds?

The length of the pendulum, the angular displacement of the pendulum and the force of gravity. The displacement can have a significant effect if it is not through a small angle.


What is the relationship between the amplitude of a pendulum and its period of oscillation?

The amplitude of a pendulum does not affect its period of oscillation. The period of oscillation is determined by the length of the pendulum and the acceleration due to gravity. The amplitude only affects the maximum angle the pendulum swings from its resting position.


What are the factors that affect the period of a pendulum?

In an ideal pendulum, the only factors that affect the period of a pendulum are its length and the acceleration due to gravity. The latter, although often taken to be constant, can vary by as much as 5% between sites. In a real pendulum, the amplitude will also have an effect; but if the amplitude is relatively small, this can safely be ignored.


How can one determine the amplitude of a pendulum?

The amplitude of a pendulum can be determined by measuring the maximum angle the pendulum swings away from its resting position. This angle represents the maximum displacement of the pendulum from its equilibrium position.


What changes can you make to affect the pendulum so that it can swing more or less swings in 15 seconds?

To make the pendulum swing more times in 15 seconds, you can increase its length or increase the angle of release. To make it swing less in 15 seconds, you can decrease the length or reduce the angle of release. Additionally, reducing air resistance by swinging in a vacuum can also affect the number of swings in 15 seconds.


How does height affect the period of a pendulum?

Height does not affect the period of a pendulum.


What factor has the greatest effect on the period of a pendulum?

The length of the pendulum has the greatest effect on its period. A longer pendulum will have a longer period, while a shorter pendulum will have a shorter period. The mass of the pendulum bob and the angle of release also affect the period, but to a lesser extent.