Pressure inside a planet

Finding the pressure inside a spherical planet as a function of radial distance from the centre, by integrating the equation of hydrostatic equilibrium. We assume a uniform density here, but the method can be generalised easily to the non-uniform case.

Deriving the hydrostatic equilibrium condition:    • Hydrostatic equilibrium: force-based deriv...  

To support the channel: https://ko-fi.com/benyelverton

About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard.

My website: https://benyelverton.com/

#physics #mathematics #pressure #gravity #integration #differentialequation #planet #gausslaw #vectorcalculus #gradient #gravitationalfield #density #fluid #fluids #pressuregradient #hydrostaticequilibrium #hydrostatic #equilibrium #forces #balance #vectors #calculus #physicsproblems #maths #math #science #education