Pendulum swing from 1deg to 2 deg

In summary, the time required for the pendulum to swing through a maximum arc of 2 degrees is the same as the time for a 1 degree arc, as the time only depends on the length and gravity due to acceleration. This mathematical model can explain real life problems, as seen in the example of a swing.
  • #1
Kaxa2000
71
0
A pendulum swings through a maximum arc of one degree in 1 sec. Later, the pendulum is made to swing through a max of 2 degrees. What is the time required for the 2 degree arc?

T = 2pi(L/g)^(1/2)

Is the time the same since the swing depends on only the length and gravity due to acceleration?
 
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  • #2
Hi there,

Have you never used a swing a kid, and noticed that the period is the same whether you rock just a bit or whether you make the whole structure jump around. This is a real life problem. Now if you want to have a mathematical model that explain that, you gave the equation, in which the amplitude of the movement is not involved in the period.

And it works. Mathematical modeling can explain a real life problem. YEAH!

I did not sutdy all these years for nothing.

Just kidding about the last part.

Cheers
 
  • #3
Kaxa2000 said:
Is the time the same since the swing depends on only the length and gravity due to acceleration?
Yes.
 
  • #4
Thanks for the confirmation :smile:
 

Related to Pendulum swing from 1deg to 2 deg

1. What is a pendulum swing from 1 degree to 2 degrees?

A pendulum swing from 1 degree to 2 degrees refers to the motion of a pendulum as it swings back and forth, changing its angle from 1 degree to 2 degrees with each swing. This is a common phenomenon in pendulum physics and can be observed in many real-life examples, such as grandfather clocks.

2. How does the angle of a pendulum affect its swing?

The angle of a pendulum directly affects its swing because it determines the length of the pendulum's arc and the speed at which it swings. A larger angle will result in a longer arc and a slower swing, while a smaller angle will result in a shorter arc and a faster swing.

3. What factors can influence a pendulum's swing from 1 degree to 2 degrees?

Several factors can influence a pendulum's swing from 1 degree to 2 degrees, including the length of the pendulum, the mass of the pendulum bob, and the force of gravity. These factors can alter the pendulum's period, or the time it takes for one complete swing, and therefore impact its angle and speed.

4. Can a pendulum swing from 1 degree to 2 degrees indefinitely?

No, a pendulum cannot swing from 1 degree to 2 degrees indefinitely. Due to the effects of air resistance and friction, a pendulum will eventually come to a stop. This is known as damping, and the amount of damping depends on the pendulum's design and materials.

5. What is the significance of studying pendulum swings from 1 degree to 2 degrees?

Studying pendulum swings from 1 degree to 2 degrees can provide valuable insights into the principles of motion and energy conservation. It is also used in various fields of science, such as physics, engineering, and astronomy, to understand and predict the behavior of pendulums and other oscillating systems.

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