Grade 11Mechanics

the height to which a cylindrical vessel be filled with a homogenous liquid ,to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel ,equal to -?

abhinav

8 Years agoGrade 11

3 Answers

Arun

Approved Tutor Answer8 Years ago

Dear Abhinav

Pressure = $\rho$ * h* g

and pressure on vertical surface = (1/2) $\rho$ * h* g

Now according to the problem

Force at the bottom = force on the vertical surface

$\rho$ hg * $\pi$ * r² = (1/2) $\rho$ hg * 2* $\pi$ * r*h

h = r

Hence height will be equal to the radius of vessel.

Regards

Arun (askIITians forum expert)

Kushagra Madhukar

5 Years ago

Dear student,

Please find the solution to your problem.

Pressure = ρ* h* g

and pressure on vertical surface = (1/2) ρ* h* g

Now according to the problem

Force at the bottom = force on the vertical surface

ρhg * π* r² = (1/2) ρ hg * 2* π* r*h

Hence, h = r

Hence height will be equal to the radius of vessel.

Thanks and regards,

Kushagra

pushkar

5 Years ago

Bhai mera question bhi koi solve kro

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the height to which a cylindrical vessel be filled with a homogenous liquid ,to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel ,equal to -?

abhinav

3 Answers

Arun

Kushagra Madhukar

pushkar

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