What is the frequency of a SHM with a given time period?

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    Maximum Velocity
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Homework Help Overview

The discussion revolves around a simple harmonic motion (SHM) problem involving a graph of displacement versus time, with a specified initial displacement and time period. The original poster seeks to determine the maximum velocity based on these parameters.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between frequency and time period, with one suggesting the formula f = 1/T. Others question the approach to calculating maximum speed, indicating a need for clarity on the relationship between displacement, time, and velocity.

Discussion Status

The discussion is ongoing, with participants providing guidance on calculating frequency and questioning the assumptions made regarding the relationship between displacement and velocity. There is an exploration of the necessary equations without reaching a consensus on the approach to finding maximum velocity.

Contextual Notes

Participants note the need for clarity on the definitions and relationships involved in SHM, particularly regarding the calculation of maximum speed from displacement and time. There is an acknowledgment of the original poster's request for assistance without providing direct solutions.

Boden1563
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Homework Statement


SHM graph with displacement/time as the axes. Initial displacement is 0.05m and the time period is 1.2seconds. What is the maximum velocity?

Homework Equations


Just want this section please so I can complete the question by myself.

The Attempt at a Solution



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f = 1/T ? What would that produce? Let the units help you define the equation. You are trying to calculate a velocity, that requires the equation to produce units in m/s.

Thanks
Matt
 
Yeah that was a bit of a brain-fart, since then I have altered the initial post. I know I need displacement and time to give me a speed but surely its not as simple as d/t to give me 'maximum' speed.

thanks

Alex
 
How does the displacement of the object vary with time?
All you have to do then, is to differentiate the expression to obtain a similar one for the object's velocity.
 
Boden1563,

Do you know how to calculate the frequency from the given value of the period?

Thanks
Matt
 

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