Velocity and height at each time interval

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Homework Help Overview

The discussion revolves around calculating velocity and height at specific time intervals using a sinusoidal motion equation. The parameters provided include equilibrium height, amplitude, angular frequency, and phase shift.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss starting with the height equation provided and the need for a separate equation for velocity. There is mention of using Euler's algorithm for numerical integration, which raises questions about its relevance to the problem.

Discussion Status

Participants are exploring different approaches to the problem, with some suggesting direct application of the height equation and others questioning the use of Euler's algorithm. There is an ongoing dialogue about the definitions and equations needed to determine velocity from the position expression.

Contextual Notes

There is a note that Euler's algorithm is not mentioned in the homework equations, which may affect its applicability. Additionally, the discussion hints at the need for clarity on how to derive velocity from the given position equation.

mastermind1
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Homework Statement



I want to calculate velocity and height at each time interval
Time intervals: 1,2,3 (seconds)

equilibrium height = 3 meters
amplitude = 0.2
angular frequency = 48 rad/s
phase shift = 60


Homework Equations



y(t) = equiheight + Amplitude*sin(angfre*t + phaseshift)

The Attempt at a Solution



I have no idea about where to start. Please help.
 
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Hello MM, and welcome to PF.
You could start with the height, for which you have presented a relevant equation. Nothing stops you from filling in equiheight, Amplitude, angfre, t and phaseshift, right ?
Then, for v you will need another equiation. No idea whatsoever ?
 
BvU said:
Hello MM, and welcome to PF.
You could start with the height, for which you have presented a relevant equation. Nothing stops you from filling in equiheight, Amplitude, angfre, t and phaseshift, right ?
Then, for v you will need another equiation. No idea whatsoever ?

Exactly. I know what you are saying about plugging everything in. What if we use Euler's algorithm to find the answer ? Any ideas about that ?
 
No can do: In the first place it isn't mentioned under 2. Homework Equations . :smile:
And if it were, why on Earth would it belong there ?

Do you know what to do to determine the velocity when an expression for the position is given ?
(Hint: consider the definition of velocity)

Euler's algorithm is for numerical integration.

[edit] And: if you "know what you are saying about plugging everything in", please show it, just to be sure things go alright...
 

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