Recent content by 2.718281828459

Maybe use that \left(1-x\right)^n\approx 1-nx where x is much less than 1.

Hello. I am working on a project with a double pendulum and I am currently looking for the normal mode frequencies. I don't think that's too important to answer my question, but in the derivation I hit a point that look like this:(K-M\omega^{2})\alpha=0. Here, K and M are 2x2 square matrices. I...

I'm still not getting this. Apparently there are some differential equations for this and the phase shift is frequency dependent. More help? Any idea what these equations are?

I can give you all of the information I have if it will help, but conceptually the exact numbers shouldn't matter, right? Yes, 60 Hz number of turns of outer coil- (2920 pm 1) number of turns of inner coil-(235 pm 1) diameter of outer coil-(3.4200E-2 pm 7.8E-5) meters diameter of inner...

Loggerpro graphed both simultaneously (using a sin function for each). The general form for each equation was Asin(Bt+C)+D. I found C for each graph and then took the difference. Does that answer your question?

I did an experiment with two solenoids, one inside the other. The inner solenoid was hooked up to an AC power source and ammeter. The outer coil had a voltmeter. This is a faraday's law experiment. Because the current is changing, we can find a formula for the emf. Here are my math steps: So...

Close. It is the same as rotating a line and finding how the normal of that line intersects the circle. I worked on this quite a bit today and I figured out the formula for a circle. See, I started by finding an equation for the chord length with respect to the circle's height (that is the...

As a means of curiosity, I am working on a problem involving the rotation of various shapes. The thing that I am interested in is the cross-sectional length of the shapes as they cross the x axis. So imagine that you have a circle with a pivot point at its bottom. You then rotate it about the...

I am currently working on building an electric field mill. I am in the very early stages of building this and I have little experience on the subject, unfortunately. I understand the basics and came up with a formula to calculate the current with respect to time (this is AC current)...