Time for the pendulum to come to a stop

In summary, the time for a pendulum to come to a stop is influenced by factors such as the length and mass of the pendulum, as well as the angle of release. It is not constant and varies depending on these factors. The length of the pendulum directly affects the time, with longer pendulums taking longer to come to a stop. The angle of release also plays a role, as it determines the amount of potential energy that is converted into kinetic energy. Additionally, air resistance can significantly impact the time, with pendulums experiencing air resistance taking a shorter time to come to a stop compared to those without it.
  • #1
Aristarchus_
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Homework Statement
How would one approximate the time it takes for the pendulum to come to a final stop? Including all the factors...
Relevant Equations
e
e
 
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  • #2
Aristarchus_ said:
Homework Statement:: How would one approximate the time it takes for the pendulum to come to a final stop? Including all the factors...
Relevant Equations:: e

e
What else do you know about the pendulum other than it comes to a stop?
 
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  • #3
kuruman said:
What else do you know about the pendulum other than it comes to a stop?
Nothing other than mass
 

1. What factors affect the time for a pendulum to come to a stop?

The time it takes for a pendulum to come to a stop is affected by the length of the pendulum, the mass of the bob, and the force of gravity. These factors determine the period of the pendulum, which is the time it takes for the pendulum to complete one full swing.

2. Does the amplitude of the pendulum affect the time for it to come to a stop?

No, the amplitude of the pendulum does not affect the time for it to come to a stop. The period of a pendulum is only dependent on the length of the pendulum and the force of gravity, not the amplitude of its swing.

3. How does air resistance affect the time for a pendulum to come to a stop?

Air resistance can slow down the pendulum's swing, causing it to take longer to come to a stop. This is because air resistance creates a force that acts in the opposite direction of the pendulum's motion, reducing its speed and causing it to lose energy.

4. Can the material of the pendulum affect the time for it to come to a stop?

Yes, the material of the pendulum can affect the time for it to come to a stop. A pendulum made of a denser material will have a higher mass, which will affect its period and the time it takes to come to a stop. Additionally, the material can also affect air resistance and friction, which can impact the pendulum's motion.

5. How can the time for a pendulum to come to a stop be calculated?

The time for a pendulum to come to a stop can be calculated using the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. This equation assumes that there is no air resistance or friction acting on the pendulum.

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