In the figure, a cube of edge length L = 0.599 m and mass 970 kg is suspended by a rope in an open tank of liquid of density 1.05E+3 kg/m3. Find (a) t

Harlen Pritchard

Harlen Pritchard

Answered question

2021-04-19

In the figure, a cube of edge length L = 0.599 m and mass 970 kg is suspended by a rope in an open tank of liquid of density 1.05E+3 kg/m3. Find (1) the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming atmospheric pressure is 1.00 atm, (2) the strength of the overall upward force acting on the cube's base, and (3) the tension in the rope. (4) Use Archimedes to determine the cube's buoyant force's magnitude.

Answer & Explanation

d2saint0

d2saint0

Skilled2021-04-21Added 89 answers

Explanation:

1) Patm=1 atm=101325 Nm2 
Water pressure =ρgh=(1.05103)(9.81)(0.5992)=3085mm2 
Net pressure =101325+3085=104410 Nm2 
Cube's cross sectional area =L2=0.36m2 
Net force =PA=37587.6N 
2) Patm=1 atm=101325Nm2 
Pressure due to water =ρgh=(1.05103)(9.81)(30.5992)=9255 Nm2 
Net pressure =101325+9255=110580 Nm2 
Area of the cube's cross section =L2=0.36m2 
Net force =PA=39808.8N 
3) The cube's weight =mg=970cd or 9.81=9515.7 N 
T=37587.6+9515.7=4703.3N 
4) Buoyant force =Vρg 
FB=(0.5993)(1.05103)(9.81)=2213.80 N

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?