How to get frequency, w (omega), when calculating reactance

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SUMMARY

The discussion centers on calculating inductive and capacitive reactance using the formulas XL = jωL and XC = 1 / jωC. The frequency, denoted as ω (omega), was stated as 10000 in the solution sheet, but participants questioned its validity, suggesting it should be 1000 based on the provided equation 6 cos(10^3t). The consensus indicates that the frequency should indeed be 1000, highlighting the importance of verifying frequency values in reactance calculations.

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KingDaniel
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Hi,
I came across a question from our weekly set of questions that involved finding the inductive reactance and capacitive reactance, ie: XL = jwL and XC = 1 / jwC.
In the solution sheet, the professor wrote that the frequency, w (omega) = 10000, however, in the question sheet, it was nowhere to be found. Is 10000 the standard frequency or is there a way of determining it?
I will upload 2 images of the solution to illustrate my query:
IMG_0623.JPG


IMG_0625.JPG
 
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The frequency is specified as is = 6 cos(10^3t) in the form Acos(wt). So I think it might be a typo. I think omega should be 1000, not 10000.
 

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