Answer:
a) The voltage in an european house is 2,17 times greater than in an american House. That is 183 volts more than in US.
b) the number of cycles or oscillations for an US House is 60 cycles per second
Step-by-step explanation:
To answer this this question you have to know the wave equation:
x(t) = A Sin (a + b.t)
where
x(t) = is the position as a time function... In this exercise we could call V(t) instead of x(t) beacause we want to know voltage vs time.
A = is the amplitude of the wave. In this case the maximum voltage that can be reached.
a = is the offset in time or number of waves (zero in this exercise)
b = constant that varies the frequency
then...
a) calculate the ratio between both amplitudes:
b) frequency (Oscillations) is:
b = 2pi/T = 2pi*F remember that: T = 1/F
where
F = frequency
T = Period
so for US household we have:
120pi =2pi*F
therefore
F = 120/2 = 60 Hertz