Answer to Question #271612 in Physics for jay

Question #271612

The position of a SHO as a function of time is given by x = 7.1cos 7πt  + π 

                          3      6

where t is in seconds and x is in centimetres. Find:

a)               the period and frequency expressed as fractions                        

b)              the velocity at t = 2.5 (to 2 sig. fig.)                                            

 


1
Expert's answer
2021-11-29T11:45:16-0500

"x=7.1\\cos(7\\pi t+\\pi\/36)". So, we have


a) "T=2\\pi\/\\omega=2\\pi\/(7\\pi)=2\/7\\ (s)"


"f=1\/T=1\/(2\/7)=7\/2\\ (Hz)"


b) "v=dx\/dt=-1.56\\cdot\\sin(7\\pi t+\\pi\/36)"


"v(2.5)=-1.56\\cdot\\sin(7\\pi \\cdot2.5+\\pi\/36)=-1.6\\ (m\/s)"



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