That makes sense.
I was looking at this problem the wrong way at each step. I was trying to directly apply certain formulas and pages of my book when they didn't exactly work. I should have stepped back and just thought about what I already knew.
Thank you so much for helping and your...
r(t) = r_0 \cos(\omega t + \phi)
Okay. Ro=3,189,000m (half the radius of the earth)
I tried to solve for phi and got inverse sine of the radial distance (3189000m) over the velocity at the center (-7986m/s). Plugging this into the calculator I get an error.
What could I possibly be doing wrong?
Could you also integrate so that r=(-k/2)*r*t^2+Vo*t+ro?
Plugging in .000003136 for k, 0 for r, -7986m/s for vo and 3189000m for ro gives t=399.3 seconds. (399.3+798.6)=1197.9*4=4791.6/60= 79.86min
This is different than 76.41min but not by much.
I really don't understand why I just can't figure this out. This is insanely frustrating. Its been about 2 months since we first dealt with this problem so maybe that is why.
I have taken Calc I, II, III, and Differential Equations. I know what numerical integration is.
For the first...
There is no explicit homework question. In class we found the period of oscillation for a mass falling through a hole in the Earth when we assumed the Earth has uniform density. Our teacher asked, how would we go about finding the period of oscillation if the mass is not uniform density?
So...
This is exactly what I need to do. I'm still confused on how you would find the period using either of these methods. I know that Period=2*pi*sqrt(R/g) but how would you apply this equation to the 2 methods described? I would appreciate any help very much. Thank you.
I received a B.A. in Physics which was essentially pre-engineering. I then went on to study Chemical Engineering. During my first semester I realized that the engineering world was absolutely not for me. I absolutely love Physics however and thought of pursuing more physics education. I...
Homework Statement
This is the exact problem: http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html
However, they assume that the Earth has a uniform density. I know how the density of the Earth varies with the distance from the center of the Earth. I also know the...