Mathegoras

Calculus › Derivatives › Average rate and average value

RMS voltage of household current

High school · ●●●○○ 50 pts

Household electricity has voltage E(t)=155sin⁡(120πt)E(t)=155\sin(120\pi t) volts, where tt is time in seconds, and one cycle lasts 160\frac{1}{60} second. The RMS voltage is the square root of the average value of [E(t)]2[E(t)]^2 over one cycle. Find the RMS voltage of household current in volts. Round to one decimal place.

Sign in to save your progress.

average value of a functiondefinite integralsdouble angle formula