User Name Remember Me? Password

 Geometry Geometry Math Forum

June 10th, 2019, 10:06 AM   #1
Member

Joined: Aug 2017
From: India

Posts: 54
Thanks: 2

Phasor Representation of sine wave

I don't understand why Sine wave should be represented as a phasor, that is, as a circle with a rotating vector. Why should it be rotating at angular speed (omega)? This is an additional item that confuses me. Suppose in the picture I am assuming it is moving at some speed; if it runs at twice the speed, how does the waveform will look like? I know the questions are not clear, but how I do I link omega, t, frequency?
Attached Images Sine.jpg (12.0 KB, 8 views)

Last edited by skipjack; June 11th, 2019 at 04:28 AM. June 11th, 2019, 04:40 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,966 Thanks: 2216 The sine wave doesn't need to be related to a rotating vector. Although the diagram refers to the time domain, the horizontal axis for the sine wave uses ωt, which is dimensionless and corresponds to an angle in the left-hand diagram (if ω isn't zero). The word "frequency" relates to how often something occurs. If you choose to consider a vector that rotates at a constant non-zero rate, it's convenient to draw a horizontal axis that aligns with the vector at time zero. If that alignment occurs n times per second, it would be reasonable to refer to "n times per second" as the frequency of the rotation. After t seconds have elapsed, the vector has rotated through 2$\pi$n radians, so ω = 2$\pi$n. You asked how the waveform looks if the frequency is changed. What the waveform "looks like" depends on the scaling used for drawing it. If the frequency is changed and a corresponding change is made to the scaling, the waveform will look the same. Thanks from topsquark and MathsLearner123 June 11th, 2019, 07:38 AM   #3
Member

Joined: Aug 2017
From: India

Posts: 54
Thanks: 2

Quote:
 Originally Posted by skipjack After t seconds have elapsed, the vector has rotated through 2$\pi$n radians, so ω = 2$\pi$n.
Will it be 2$\pi$nt? Tags phasor, representation, sine, wave Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post MMath Trigonometry 2 May 21st, 2016 07:13 AM HypoXic5665 Applied Math 1 April 2nd, 2013 11:39 PM deedee Trigonometry 6 January 21st, 2013 09:33 AM smash Trigonometry 9 January 4th, 2011 05:29 PM blazingclaymore Computer Science 0 February 5th, 2008 01:01 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top      