Complex waveform

  • #1
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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:

Answers and Replies

  • #2
BvU
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No, you treat ##\omega\, t## as the x coordinate.
 
  • #3
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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:
  • #4
BvU
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No, just ##\omega \, t##
 
  • #5
BvU
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If you still feel uncomfortable, choose ##\omega = 1##, make the y, t plot and then rename the t axis to ##\omega t## axis !
 
  • #6
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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
 
  • #7
BvU
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Perhaps I confused you earlier on, sorry. There is no solving involved, just plotting. One period in A1 -- so from ##100 \, \omega\, t=0 ## to ##100\, \omega\, t=2\pi ##
 

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  • #8
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I understand now cheers.
 

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