# Complex waveform

Having some trouble with this question,

A complex wave is described by equation, y=100 sin ωt+30 sin(3ωt-∏/2)
A) on the same axis sketch and label,
1)one cycle of the fundamental waveform
2)the third harmonic
3) the complex waveform(y)

ω=2∏f
T=2∏/ω

Not sure where to start.
To sketch graph I need to find time, to get time I need frequency. Not sure how to find frequency from 100 sin ωt
as
Do I just treat ω as 2∏?

Last edited:

BvU
Homework Helper
No, you treat ##\omega\, t## as the x coordinate.

No, you treat ##\omega\, t## as the x coordinate.

Ok so I have ωt, ωt/2, ωt/3 along my x axis for my time coordinates ?

Last edited:
BvU
Homework Helper
No, just ##\omega \, t##

BvU
Homework Helper
If you still feel uncomfortable, choose ##\omega = 1##, make the y, t plot and then rename the t axis to ##\omega t## axis !

If you still feel uncomfortable, choose ##\omega = 1##, make the y, t plot and then rename the t axis to ##\omega t## axis !

Where i'm getting confused is i'm used to solving the likes of 100 sin (100 ∏ t)

from there you get time=20ms, so you can plot the time axis up to 20ms.

I don't understand how to plot ωt

BvU