How is the Angular Frequency of a Sine Wave Calculated?

[randomuser241]

Homework Statement

Please see the attached picture. I need help finding the angular frequency. The answer is 1571 but I don't know how they arrived at the solution. From the picture it looks like the period is 2pi but this would give an angular freq. of 1.

Homework Equations

w=2pi(f)=2pi/T

The Attempt at a Solution

see above

 

[tiny-tim]

welcome to pf!

hi randomuser241! welcome to pf!

(have a pi: π )

I need help finding the angular frequency. The answer is 1571 but I don't know how they arrived at the solution. From the picture it looks like the period is 2pi but this would give an angular freq. of 1.

well, 1571 = 500 π …

i think that 8mA at the bottom must be a misprint for 8 ms (or is it 4 ms?) ​

 

[vk6kro]

4 mS I think. Sloppy misprint.

To get the frequency (in Hz) you can work out F = 1 / T where T = period = 0.004 seconds.

Then, one complete cycle of a sinewave is 2 * PI radians or 6.28318 radians.

So, you can work out how many radians occur per second at this frequency.