# Pendulum acceleration homework

• ahrog
In summary, the conversation discusses a problem involving a pendulum with a length of 2.00 m and 84.5 complete oscillations in 4.00 minutes. The conversation then provides the equation TG=(4pi^2/T^2)L to find the acceleration of gravity at that spot. After some confusion, it is revealed that the problem actually asks for the time for one oscillation, which can be solved by using the equation and plugging in the correct value for the period.
ahrog

## Homework Statement

A pendulum with is 2.00 m long makes 84.5 complete oscillations in 4.00 minutes. What is the acceleration of gravity at that spot?

TG=(4pi^2/T^2)L

## The Attempt at a Solution

g=(4pi^2/240s^2)2.00m
g= 0.0013707...

Which doesn't make sense, and it seems way to simple to be getting 8 marks for it. What am I missing?

Find the time for one oscillation.

In your solution you seem to have just put in 240s for the period. This would certainly be true if the pendulum completed one oscillation in four minutes...

Oh geez *smacks head* Such an easy solution. Thanks!

## 1. What is a pendulum and how does it accelerate?

A pendulum is a weight or mass attached to a pivot point and is free to swing back and forth. It accelerates due to the force of gravity, which pulls the mass towards the center of the Earth, causing the pendulum to swing back and forth.

## 2. What factors affect the acceleration of a pendulum?

The acceleration of a pendulum is affected by the length of the pendulum, the mass of the weight, and the force of gravity. The longer the pendulum, the slower the acceleration, while a heavier weight or stronger force of gravity will result in a faster acceleration.

## 3. How do you calculate the acceleration of a pendulum?

The acceleration of a pendulum can be calculated using the formula a = (2π/L)² * sin(θ), where a is the acceleration, L is the length of the pendulum, and θ is the angle of the pendulum's swing.

## 4. How does the amplitude of a pendulum affect its acceleration?

The amplitude, or angle of swing, does not affect the acceleration of a pendulum. The acceleration is only affected by the length, mass, and force of gravity, as stated in the formula in question 3.

## 5. Is the acceleration of a pendulum constant?

No, the acceleration of a pendulum is not constant. As the pendulum swings back and forth, it experiences acceleration due to gravity, but this acceleration is constantly changing direction, resulting in a varying velocity and acceleration.

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