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What is the initial arclength of a pendulum when you know the length and mass and max velocity and initial height of the pendulum?
If you know the initial height and the length of the pendulum, then you have no use for the mass or the velocity. You already have the radius of a circle, and an arc for which you know the height of both ends. You can easily calculate the arc-length from these. And by the way . . . it'll be the same regardless of the mass or the max velocity. They don't matter.
What is the solution to the ballistic pendulum problem?
The solution to the ballistic pendulum problem involves using the conservation of momentum and energy principles to calculate the initial velocity of a projectile based on the pendulum's swing height.
What happens to the total energy of the pendulums as it swings What determines the maximum total energy of the pendulum?
As the pendulum swings, the total energy (kinetic + potential) remains constant if we ignore friction. The maximum total energy of the pendulum is determined by the initial conditions such as the height from which it is released and the velocity. The higher the release point and the greater the initial velocity, the higher the maximum total energy of the pendulum.
Does a pendulum move faster the longer it is?
No, the length of the pendulum does not affect its speed. The speed of a pendulum is determined by the height from which it is released and the force of gravity acting on it.
Why does a pendulum in motion never swing to a greater height than it started?
This is a conservation of energy problem. When the pendulum starts out, it has gravitational potential energy; at the bottom of the swing, all of that has been converted to kinetic energy, and when it swings back up, back to gravitational potential energy (which is why speed is greatest at the bottom of the pendulum); in other words, there has to be the same amount of energy (PEgravitational = mass*gravity*height), where mass and gravity are constant.
What is the initial arclength of a pendulum when you know the length and mass and max velocity and initial height of the pendulum?
If you know the initial height and the length of the pendulum, then you have no use for the mass or the velocity. You already have the radius of a circle, and an arc for which you know the height of both ends. You can easily calculate the arc-length from these. And by the way . . . it'll be the same regardless of the mass or the max velocity. They don't matter.
What is the solution to the ballistic pendulum problem?
The solution to the ballistic pendulum problem involves using the conservation of momentum and energy principles to calculate the initial velocity of a projectile based on the pendulum's swing height.
What happens to the total energy of the pendulums as it swings What determines the maximum total energy of the pendulum?
As the pendulum swings, the total energy (kinetic + potential) remains constant if we ignore friction. The maximum total energy of the pendulum is determined by the initial conditions such as the height from which it is released and the velocity. The higher the release point and the greater the initial velocity, the higher the maximum total energy of the pendulum.
Does a pendulum move faster the longer it is?
No, the length of the pendulum does not affect its speed. The speed of a pendulum is determined by the height from which it is released and the force of gravity acting on it.
How does height affect the period of a pendulum?
Height does not affect the period of a pendulum.
Why does a pendulum in motion never swing to a greater height than it started?
This is a conservation of energy problem. When the pendulum starts out, it has gravitational potential energy; at the bottom of the swing, all of that has been converted to kinetic energy, and when it swings back up, back to gravitational potential energy (which is why speed is greatest at the bottom of the pendulum); in other words, there has to be the same amount of energy (PEgravitational = mass*gravity*height), where mass and gravity are constant.
How can you make a pendulum to swing faster?
You can make a pendulum swing faster by increasing its initial height or by shortening the length of the pendulum. Both of these actions will result in a larger potential energy that will be converted into kinetic energy, causing the pendulum to swing faster.
Does the height of release affect the swing of a pendulum?
Yes, the height of release affects the swing of a pendulum. A pendulum released from a greater height will have a larger amplitude (maximum displacement from the central position) but the period (time taken to complete one full swing) will remain the same, assuming there is no air resistance.
How does the starting height affect the total time the marble rolls?
The starting height of the marble affects its initial speed, which in turn influences the time it takes to reach the bottom. A marble starting from a higher height will have a greater initial speed and reach the bottom faster compared to a marble starting from a lower height.
What can make the pendulum swing faster?
Increasing the length of the pendulum or increasing the height from which it is released can make the pendulum swing faster due to an increase in potential energy. Additionally, reducing air resistance by using a more aerodynamic design can also help the pendulum swing faster.
How many swings a pendulum makes in a second?
That depends on a number of different variables and therefore it cannot be concluded here. It depends on the mass of the object being swung as well as the initial conditions of this object such as the height it is released or the initial velocity by which it was flung.
Which pendulum moves slowest?
A pendulum with a longer length will move slower than a pendulum with a shorter length, given that both are released from the same height. This is because the longer pendulum has a greater period of oscillation, meaning it takes more time to complete one full swing compared to a shorter pendulum.
