help in homework

New User?

Fill This Form To Receive Instant Help

Help in Homework
trustpilot ratings
google ratings


Homework answers / question archive / Archimedes principle states that the buoyant force on a submerged body equals the weight of the fluid displaced

Archimedes principle states that the buoyant force on a submerged body equals the weight of the fluid displaced

Physics

Archimedes principle states that the buoyant force on a submerged body equals the weight of the fluid displaced. This fact can be combined with measured weights of the object in air and in water to determine the object's density rho_3. The resulting equation is: rho = rho_w/1 - (W_w/W_a) (1) where: rho_w = density of water = 1.00 g/cm^3 W_a = weight of object in air W_w = weight of object in water Provide an explanation of the origin of the above relationship. Recall that W_a = M_g = rho Vg. A free-body diagram suggests that its weight in water is diminished by an amount equal to the buoyant force.

pur-new-sol

Purchase A New Answer

Custom new solution created by our subject matter experts

GET A QUOTE

Answer Preview

let the mass of body = m, volume = v, density = \rho

weight of the body in air = w_{a} = mg =\rho vg .....equation-1

according to archimedes principle buoyant force is given by

F_{B} = weight of same volume water = v = \rho_{w}vg

from the diagram weight in water is given by

w_{w}=mg-F_{B}

=> w_{w}=mg-\rho _{w}vg   .....equation-2

from equatons 1 & 2

w_{a}-w_{w}=mg-(mg-\rho _{w}vg)

= \rho _{w}vg

=>   \frac{w_{a}-w_{w}}{w_{a}}=\frac{\rho _{w}vg}{\rho vg}

=> 1-\frac{w_{w}}{w_{a}}=\frac{\rho _{w}}{\rho }

=> \rho =\frac{\rho _{w}}{1-\frac{\rho _{w}}{\rho }}

please use this google drive link to download the answer file.

https://drive.google.com/file/d/1pwhCvO9x8S2uwcmMr-Bcih-psU6Eh_vF/view?usp=sharing

note: if you have any trouble in viewing/downloading the answer from the given link, please use this below guide to understand the whole process

https://helpinhomework.org/blog/how-to-obtain-answer-through-googledrive-link

Sitejabber (5.0)

BBC (5.0)

Trustpilot (4.9)

Google (5.0)