avatar +93 

Hey can anyone help me with this math problem, I'm having a lot of trouble with it. 


Estelle is performing the song “Lean on Me” by Bill Withers at a concert. She notices the audience members putting their arms around each other and swaying back and forth in unison, swaying all the way to the left and back to the right every four beats. Explain what the amplitude, period and equation of the axis would represent in a sinusoidal model of an audience member’s swaying in terms of beats.



Thanks! :) <3 

Supergirl May 19, 2017

1+0 Answers

avatar +73752 

Here's one (but not the only) possibility


Look  at tthe following graph  of   sin (πx/2  + π/2)  : https://www.desmos.com/calculator/bdvsovus1f


Let the max height of the curve represent "all the way to the right"  and the minimum height of the curve be "all the way to the left"  ....note that there are 4 beats from starting  from all the way to the right, swaying all the way to the left and back again to the right


The amplitude  is  1     (this could be changed without affecting the pattern of beats )


The period is 4 radians.....each radian represents a beat...!!!


P.S. -  I don't understand what is meant by "the equation of the axis " 




cool cool cool

CPhill May 19, 2017
edited by CPhill  May 19, 2017
edited by CPhill  May 19, 2017

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