Question

The neck and bottom of a bottle are 0.5cm and 0.4cm respectively. If the cork in the neck is pressed with a force of 1kgwt and the bottle is full of oil. What is the force in te bottom due to the load

Answer 1

0.64 kgwt

Step-by-step explanation:

You should check that the diameters of the neck and bottom are correct. That is a very small bottle, and the neck shouldn't be bigger than the bottom.

The pressure on the cork = the pressure on the bottom

P₁ = P₂

F₁ / A₁ = F₂ / A₂

F₁ / (π r₁²) = F₂ / (π r₂²)

F₁ / r₁² = F₂ / r₂²

(1 kgwt) / (0.5 cm)² = F / (0.4 cm)²

F = 0.64 kgwt

Round as needed.