Question

Total pressure on the top of a closed cylindrical vessel of radius r filled with liquid is proportional to

Answer 1

Hey Dear,

# Supposed options are -

1) directly proportional to r^2

2) inversely proportional to r^2

3) directly proportional to r^4

4) inversely proportional to r^2

◆ Answer -

(3) directly proportional to r^4

◆ Explaination -

Total pressure on the top of liquid-filled cylindrical vessel is given by -

P = π.W.ω^2.r^2 / 4.g

As we know, W = V × ρ = πr^2h.ρ

P = π.πr^2.h.ρ.ω^2.r^2 / 4.g

P = π^2.h.ρ.ω^2.r^4 / 4.g

P ∝ r^4

Hence, total pressure on the top of liquid-filled cylindrical vessel is directly proportional to 4th power of radius.

Thanks dear...