Checking Conversion Accuracy for Frequency and Inductance Calculations

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AI Thread Summary
The discussion focuses on verifying the calculations for frequency and inductance based on a given period of 17.29 ms. The frequency is calculated as 57.836 s^-1, and the inductance is determined using the formula L = ((1/(2*pi*frequency))^2)/C, resulting in L = 68.84 mH with C set at 110*10^-6. The participant seeks confirmation on the accuracy of these conversions and calculations. Responses confirm that the conversions and calculations are correct. The thread emphasizes the importance of accurate conversions in electrical calculations.
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Homework Statement



Well, I am not sure about my conversion and I need people to make sure I am doing it right.

I have a period, T, of 17.29 ms. To find the frquency it is 1/T= 57.836 s^-1. So the inductive is L=((1/(2*pi*frequency))^2)/C which C is 110*10^-6 and I got L=68.84 mh.

The lower case m are 10^-3 btw.

Can anyone make sure I did this right and the conversion...thanks!

Homework Equations





The Attempt at a Solution

 
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I am not sure of this anymore but isn't the impedence of a capacitor = 1/(2*pi*f*C) ?
 


Well it doesn't matter if C is something or L is something...I just want to know what is L with the given values, more of plug and chug situation. I just want to know if I made my conversion right with the given equation.
 


physics10189 said:
Well it doesn't matter if C is something or L is something...I just want to know what is L with the given values, more of plug and chug situation. I just want to know if I made my conversion right with the given equation.

well in that case, your conversion is correct.
 


Ok thanks then.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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