Scaling law for static buoyancy

AI Thread Summary
The discussion revolves around deriving the scaling law for the static buoyancy force of a solid sphere in a liquid, specifically when the sphere's density is less than that of the liquid. The buoyancy force is calculated using the formula F=(pi/6)*d^3*γ*g, where d represents the sphere's diameter. Participants seek clarification on the concept of scaling law and how to derive it in the context of buoyancy. The connection to similar problems in a MEMS class highlights the practical application of these concepts. Understanding the scaling law is essential for analyzing buoyancy in various engineering scenarios.
farahtc
Messages
4
Reaction score
0

Homework Statement



Derive the scaling law for static buoyancy force of a solid sphere in a liquid with a density of γ.
Assume the sphere is made of a material with a density of γs (γs< γ).

Homework Equations





The Attempt at a Solution



I calculated the the buoyancy force of the sphere as

F=(pi/6)*d^3*γ*g, where F=buoyancy force, d=sphere diameter. NOw can anybody tell me what is scaling law?how to derive it?
 
Physics news on Phys.org
Im doing this exact same problem in my MEMS class and i have the same issue
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Similar threads

Force on the bottom of the vessel containing a submerged cube
Replies
30
Views
3K
Inverse square law of gravitation and force between two spheres
Replies
8
Views
2K
Density of Liquid: 1667.7kg/m^3 | Solving Buoyancy Q.
Replies
8
Views
3K
Buoyant Force & Gravity Force find Fnet (Newtons Second Law)
Replies
3
Views
3K
Submarine Buoyancy Differential Equation
Replies
3
Views
3K
Brownian Ratchet (exercise framed by Feynman's Lectures, l. 46)
Replies
32
Views
2K
How Do Viscous Interactions Differ in Vertical and Horizontal Geometries?
Replies
31
Views
3K
Buoyancy correction in a Kater's pendulum
Replies
4
Views
2K
Sanity check on falling steel ball in water
Replies
5
Views
2K
Buoyancy - Maximum mass a styrofoam sphere can hold in water.
Replies
3
Views
10K

Hot Threads

Recent Insights

Back
Top