In the study of alternating electric current, instantaneous voltage is modeled by the equation e=Emax sin2πft, 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.)
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