Buoyancy & Buoyant Force Video Lessons

Video Thumbnail

Concept

Problem: A solid aluminum cylinder of length L, radius r and density pal is suspended vertically from a thin wire and slowly lowered into a still lake. Let z denote the depth of the bottom of the cylinder. (When z < 0 no portion of the cylinder is submerged in water. Note that  z is assumed here to increase downwards.) Assume that both the mass of the wire and the density of air are negligibly small. Let pω denote the density of water. What is the tension T in the wire a) for z < 0? b) for 0 < z < L? c) for z > L? d) Plot T(z).

FREE Expert Solution
90% (374 ratings)
Problem Details

A solid aluminum cylinder of length L, radius r and density pal is suspended vertically from a thin wire and slowly lowered into a still lake. Let z denote the depth of the bottom of the cylinder. (When z < 0 no portion of the cylinder is submerged in water. Note that  z is assumed here to increase downwards.) Assume that both the mass of the wire and the density of air are negligibly small. Let pω denote the density of water. What is the tension T in the wire

a) for z < 0?
b) for 0 < z < L?
c) for z > L?
d) Plot T(z).

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Buoyancy & Buoyant Force concept. You can view video lessons to learn Buoyancy & Buoyant Force. Or if you need more Buoyancy & Buoyant Force practice, you can also practice Buoyancy & Buoyant Force practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Jeffery took 7 minutes and 28 seconds to solve this problem. You can follow their steps in the video explanation above.