# Solve Simple Pendulum Homework: Max Velocity of Pendulum Bob

• Basne_Kaled
In summary, the question asks for the maximum velocity of a pendulum bob weighing 0.1 kg and having a length of 25 cm and a period of 1 second with a force of 1.1 N. It is determined that the maximum velocity is at the equilibrium point when the pendulum is pointing down, using the formula for restoring force to find the maximum angle and potential energy, and then using the formula for kinetic energy to calculate the maximum velocity.
Basne_Kaled

## Homework Statement

A pendulm bob weighing 0.1 kg hangs from a light tread. it has a length of 25 cm and a period is 1 second and the force is 1.1 N. what is the maximum velocity of the pendulum bob?

F = M * A
V = U + A*T

## The Attempt at a Solution

Using these formulas i got the final velocity, but it does not seem right!

Acceleration isn't constant so you can't use F=ma, or v = u + at
When is the velocity at a maximum do you think?

Do you have access to internet? Typing in "simple pendulum" will enable you to find these formulae.

Period = 2*PI*SQRT(Length/g)
You shouldn't need this one but beware of units if you use it.

RestoringForce= -Mass*g*sin(theta)
This can get us the maximum angle, and thus the maximum height of the bob, and thus the potential energy, and thus the kinetic energy and thus the maximum velocity.

The maximum velocity is at the equlibrium point. i.e when the pendulum is pointing down.

## 1. What is a simple pendulum?

A simple pendulum is a mass (called the bob) attached to a string or rod that is free to swing back and forth. The motion of a simple pendulum is caused by the force of gravity and is used to study concepts such as motion, energy, and oscillation.

## 2. How do you find the maximum velocity of a pendulum bob?

To find the maximum velocity of a pendulum bob, you can use the equation v = √(2gh), where v is the maximum velocity, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the pendulum bob at its highest point. This equation assumes that friction and air resistance are negligible.

## 3. What factors affect the maximum velocity of a pendulum bob?

The maximum velocity of a pendulum bob is affected by the length of the string or rod, the mass of the bob, and the angle at which it is released. A longer string or rod will result in a higher maximum velocity, while a heavier bob or a larger release angle will result in a lower maximum velocity.

## 4. How does the maximum velocity of a pendulum bob change with amplitude?

The maximum velocity of a pendulum bob is directly proportional to its amplitude (the maximum angle it swings from its starting position). This means that as the amplitude increases, the maximum velocity also increases, and vice versa.

## 5. How can the maximum velocity of a pendulum bob be used to calculate its kinetic energy?

The maximum velocity of a pendulum bob can be used to calculate its kinetic energy using the equation KE = 1/2mv^2, where KE is the kinetic energy, m is the mass of the bob, and v is the maximum velocity. This equation shows that the kinetic energy of a pendulum bob increases as its maximum velocity increases.

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