Simple Pendulum Angle Problem: Solving for Angular Acceleration

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Homework Help Overview

The discussion revolves around a simple pendulum problem involving the calculation of angular acceleration and the time taken for the pendulum bob to reach its highest speed after being released from a certain angle. The pendulum has a specified length and the acceleration due to gravity is provided.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the correct formula for determining the period of a pendulum and the conditions under which the pendulum reaches its highest speed. Questions are raised about the appropriateness of the original calculations and the relevance of specific equations.

Discussion Status

The discussion is ongoing with participants exploring different interpretations of the equations involved. Some guidance has been offered regarding the timing of the pendulum's motion, but there is no explicit consensus on the correct approach or calculations yet.

Contextual Notes

Participants are working with specific values for the pendulum's length and the acceleration due to gravity, and there is some confusion regarding the application of the formulas related to pendulum motion.

badman
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You pull a simple pendulum of length 0.215 m to the side through an angle of 3.50 ^\circ and release it.

i got 0.93, but it marked it wrong. i divided the mass over the accel of gravity, squared it and multiplied by 2pi. is this wrong?
 
Last edited:
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what are you trying to figure out? what is the question asking for?
 
oh sorry

How much time does it take the pendulum bob to reach its highest speed?
Take free fall acceleration to be g = 9.80 m/s^2.
 
The pendulum will be at it's highest speed when it is at the bottom of it's swing.

Also, the equation for the period of a pendulum is T = \sqrt \frac {m}{g}
 
yeah but the eqaution has to be multiplied by 2 pi
 
badman said:
yeah but the eqaution has to be multiplied by 2 pi
Why? The low point is 1/4 of the way through the arc of the pendulum. Since it takes the same time to go to the bottom as it does to go to the high point on the other side which is the same as the time to come back to the middle from the high point which is the same amount of time to finally go from the low point to the original starting point.
 

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