Simple Pendulum Centripetal Acceleration

In summary, a simple pendulum is a weight suspended from a fixed point that swings freely under the influence of gravity. Centripetal acceleration is the acceleration experienced by an object in circular motion, directed towards the center of the circle. In a simple pendulum, the centripetal acceleration is provided by the tension in the string. It can be calculated using the formula a = (4π²L)/T², where L is the length of the string and T is the period of the pendulum. The centripetal acceleration is directly proportional to the length of the string, meaning a longer string results in a larger acceleration and a shorter string results in a smaller acceleration.
  • #1
robwashere
6
0

Homework Statement


http://screensnapr.com/v/tC6gC3.jpg


Homework Equations


Im guessing: Centripetal Acceleration = v^2/r
PE = mgh
KE = .5mv^2

The Attempt at a Solution


I tried to convert the givens into velocity by using .5mv^2, but that does not work.
 
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  • #2
Hint: Apply Newton's 2nd law.
 
  • #3
Doc Al said:
Hint: Apply Newton's 2nd law.

You sir, are a genius! Thanks!
 

1. What is a simple pendulum?

A simple pendulum is a weight suspended from a fixed point that is allowed to swing freely back and forth under the influence of gravity.

2. What is centripetal acceleration?

Centripetal acceleration is the acceleration experienced by an object moving in a circular motion, directed towards the center of the circle.

3. How is centripetal acceleration related to simple pendulum?

In a simple pendulum, the centripetal acceleration is provided by the tension in the string that keeps the pendulum bob moving in a circular motion.

4. How is centripetal acceleration calculated for a simple pendulum?

The centripetal acceleration for a simple pendulum can be calculated using the formula a = (4π²L)/T², where L is the length of the string and T is the period of the pendulum.

5. How does the length of the string affect the centripetal acceleration of a simple pendulum?

The centripetal acceleration of a simple pendulum is directly proportional to the length of the string. This means that a longer string will result in a larger centripetal acceleration, while a shorter string will result in a smaller centripetal acceleration.

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