The voltage of the domestic electric supply is represented by the equation V = 311 sin314.2t. Determine the frequency of the a.c. supply [\(\pi\) = 3.142]

fmeka27

11 years ago

velocity in A.C ... V = Vo Sin 2 pie ft

Compare V = 311 Sin 314.2t

2pief = 314.2

f= 314.2/2pie, f= 314.2/2(3.142) = 314.2/6.284

= 50Hz

GentyA

3 years ago

V=vosinwt: V=311sin314.2t
w=2πf. find f (neglect t)
w/2π=f (π=3.14)
314.2/2*3.14=50Hz

RICHYBOBZY

2 years ago

To determine the frequency of the a.c. supply, we need to analyze the given equation representing the voltage of the domestic electric supply:

V = 311 sin 314.2t

In this equation, the argument of the sine function is 314.2t, where t represents time.

The angular frequency (ω) is the coefficient of t in the argument of the sine function. In this case, ω = 314.2 rad/s.

The relationship between angular frequency (ω) and frequency (f) is given by:

ω = 2πf

Substituting ω = 314.2 rad/s and solving for f, we get:

314.2 = 2π × f
f = 314.2 / (2π)
f = 50.0 Hz

Therefore, the frequency of the a.c. supply is 50.0 Hz.

The correct answer is A. 50.0 Hz.

Ijustwanttopassjamb

1 year ago

i don't understand 😭😭

mercy12345678ush

1 year ago

Yy