In a US household, the voltage in an electric outlet (in volts) is given by the following equation, where t is in seconds.
V = 156sin(120πt)
However, in a European house, the voltage is given (in the same units) by the following equation.
V = 339sin(100πt)
Answer the following questions comparing the voltages in the two regions.

(a) How much greater is the maximum voltage in a European house than a US house?
__________volts

(b) What is the number of cycles (oscillations) per second in a US house?

_________cycles/second

Question

In a US household, the voltage in an electric outlet (in volts) is given by the following equation, where t is in seconds.
V = 156sin(120πt)
However, in a European house, the voltage is given (in the same units) by the following equation.
V = 339sin(100πt)
Answer the following questions comparing the voltages in the two regions.

(a) How much greater is the maximum voltage in a European house than a US house?
__________volts

(b) What is the number of cycles (oscillations) per second in a US house?  

_________cycles/second

kenljw · Answer

A) 339/156
B) 120 PI is radian frequency it's frequency is 120 PI/2 PI = 60 Hz or Cycle/Second