How to Calculate the maximum transvers accleration and velocity

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To calculate the maximum transverse velocity and acceleration of a point at lambda/4 on a vibrating string, the relevant equations are vmax = A cos(kx) and amax = (2πf)vmax. The maximum transverse velocity can be expressed as vmax = 2πfA, while the maximum transverse acceleration is given by amax = 4Aπ²f². It is essential to clearly define the variables involved, such as amplitude (A), frequency (f), and wavelength (lambda), for accurate calculations. Proper notation, including subscripts and superscripts, enhances clarity in the equations. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement


A horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed , frequency , amplitude , and wavelength .

Calculate the maximum transverse velocity of the point located at lambda/4.
Calculate the maximum transverse acceleration of the point located at lambda/4.

Express your answer in terms of the variables v,f,A,lambda, and appropriate constants.


Homework Equations


Vmax=Acoskx
amax=(2pif)vmax


The Attempt at a Solution



vmax=2pifa
amax=4Api^2f^2
 
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Dizzylou said:

Homework Equations


Vmax=Acoskx
amax=(2pif)vmax
These equations are meaningless until you define the variables.
Please use subscripts, superscripts, symbols, to make the equations clearer. (Click on Go Advanced.)
 

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