Thursday

August 21, 2014

August 21, 2014

Posted by **Natalie** on Monday, May 6, 2013 at 4:03pm.

A. Make an accurate sketch of V(t).

B. What is the maximum value of V?

C. What is the minimum value of V?

D. What are the first three times that V=0?

E. What are the first two times that V=60?

F. What are the first two times that V=10? You may round your answer to 1 significant digit.

- Math -
**Henry**, Wednesday, May 8, 2013 at 8:09pmV(t) = 120sin(120*pi*t)

V(t) = 120sin(377t)

377*t = The angle in radians.

B. Vmax=120sin(377*1/240)=120sin(90o)= 120 Volts.

C. Vmin=120sin(377*1/80)=120sin(270o)= -120 Volts.

D. 0, 1/120, and 1/60 Seconds.

E. 120sinA = 60

sinA = 60/120 = 0.5

A = 30o.

t=(30o/360o) * 1/60 = 1/360=0.00278 s.

A = 180-Ar = 180-30 = 150o

t = (150o/360o) * 1/60 = 0.00694 s.

F. 120sinA = 10

sinA = 0.08333

A = 4.78o

t =

t = (4.78/360) * 1/60 = 0.00022 s.

A = 180-4.78 = 175.22o

t = (175.22/360) * 1/60 = 0.0081 s.

NOTES

2pi*F = 377 Radians/s.

F = 377/2pi = 377/6.28 = 60 Hz

P = 1/60 Seconds. = The period.

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