How Do You Apply the Phasor Method to Add Sinusoidal Functions?

[Aeighme]

Homework Statement

Add the formulas
y1 = 5.2 sin(ωt),
y2 = 8.3 sin(ωt+30°),
y3 = 15.5 sin(ωt+60°)
using the phasor method.

Your formula should only have numbers and the variables ω and t. The formula must be accurate for any value of those variables

Homework Equations

Not sure.

The Attempt at a Solution

Know I need to do algebra, but not sure how.

 

[Gear300]

You could just algebraically add them. For a visual, draw a phasor diagram. y1 will be a vector along 0 deg, y2 along 30 deg, and y3 along 60 deg. Although these values may not occur at the maximum amplitudes, the differences in phase will remain as they are (since the rate of oscillation is the same for each). From this, draw out a resultant vector.