# Pressure Equation | Problems (With Solutions)

Pressure (P) is equal to the ratio of force (F) to the surface area (A). Using the equation of pressure: P = F/A, the value of pressure acting on an object can be calculated.

Let’s solve some problems based on this equation, so you’ll get a clear idea.

## Pressure Practice Problems

Problem 1: Calculate the pressure acting on a disc of surface area 5 m2, when a force of 50 N is exerted on it.

Solution:

Given data:
Pressure acting on a disc, P = ?
Surface area of a disc, A = 5 m2
Force exerted on a disc, F = 50 N

Using the equation of pressure,
P = F/A
P = 50/5
P = 10 N/m2

Therefore, the pressure acting on a disc is 10 N/m2.

Problem 2: If a 10 N force is exerted on a box of surface area 2 m2, then what is the value of pressure acting on a box?

Solution:

Given data:
Force exerted on a box, F = 10 N
Surface area of a box, A = 2 m2
Pressure acting on a box, P = ?

Using the equation of pressure,
P = F/A
P = 10/2
P = 5 N/m2

Therefore, the pressure acting on a box is 5 N/m2.

Problem 3: A boy exerts a force of 28 N on the flat plate of surface area 4 m2. Calculate the pressure acting on the flat plate.

Solution:

Given data:
Force exerted on the flat plate, F = 28 N
Surface area of the flat plate, A = 4 m2
Pressure acting on the flat plate, P = ?

Using the equation of pressure,
P = F/A
P = 28/4
P = 7 N/m2

Therefore, the pressure acting on the flat plate is 7 N/m2.

Problem 4: A drummer exerts a force of 18 N on a drum head with the drumstick. If the surface area of a drum head is 3 m2, then calculate the pressure acting on a drum head.

Solution:

Given data:
Force exerted on a drum head, F = 18 N
Surface area of a drum head, A = 3 m2
Pressure acting on a drum head, P = ?

Using the equation of pressure,
P = F/A
P = 18/3
P = 6 N/m2

Therefore, the pressure acting on a drum head is 6 N/m2.

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