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In the study of alternating electric​ current, instantaneous voltage is modeled by the equation e=Emax  sin2π​ft, where f is the number of cycles per​ second,Emax is the maximum​ voltage, and t is the time in seconds. Find the smallest positive value of t if Emax=15​, e=6​, and f=120.

 

Determine the smallest positive value of t.

t≈___

​(Round to 5 decimal​ places.)

 May 12, 2021
 #1
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Sub into the equation

6 = 15 sin (2pi 120 t)

6/15 = sin(240 pi t)

.4115 R = 240 pi t

.4115 R = pi t

t = .131    sec

 May 12, 2021
 #2
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did you take the sin inverse on the third step?

ughh.abby  May 12, 2021

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