Mastering Numerical Problems on Pressure: Formulas, Solutions & Tips
Understanding how to calculate pressure is a fundamental concept in physics, especially in fluid mechanics and mechanics. Whether you’re a student preparing for exams or a teacher seeking clear examples, this guide provides a comprehensive set of numerical problems on pressure with step-by-step solutions. Optimized for clarity and comprehension, these questions help reinforce your grasp on the core formula:
Pressure (P) = Force (F) / Area (A)
Let’s explore 10 well-structured numerical problems involving pressure, force, and area, each explained in detail with answers highlighted for quick learning.
10 Numerical Questions on Pressure with Detailed Solutions
Q1. Calculating Pressure from Force and Area
Question: A force of 300 N is applied on a surface of area 6 m². Calculate the pressure exerted.
Solution: Pressure = 300 / 6 = 50 Pa
Q2. Pressure Exerted by a Man Standing on One Foot
Question: A man of weight 700 N stands on one foot. If the area of the foot in contact with the ground is 0.02 m², find the pressure exerted on the ground.
Solution: Pressure = 700 / 0.02 = 35,000 Pa
Q3. Pressure from a Box on a Platform
Question: A box weighing 500 N is placed on a wooden platform of area 2.5 m². Calculate the pressure it exerts on the platform.
Solution: Pressure = 500 / 2.5 = 200 Pa
Q4. Finding Force from Pressure and Area
Question: A pressure of 150 Pa is acting on a surface area of 4 m². Find the force exerted.
Solution: Force = 150 × 4 = 600 N
Q5. Calculating Pressure on a Small Area
Question: A force of 250 N is exerted on a small area of 0.5 m². What is the pressure?
Solution: Pressure = 250 / 0.5 = 500 Pa
Q6. Pressure from a Plank on a Surface
Question: A rectangular plank has a weight of 1000 N. If it rests on a surface area of 8 m², what is the pressure?
Solution: Pressure = 1000 / 8 = 125 Pa
Q7. Pressure Due to an Elephant’s Leg
Question: An elephant exerts a force of 3000 N with each leg. If the area of contact of one leg with the ground is 0.1 m², find the pressure on the ground due to one leg.
Solution: Pressure = 3000 / 0.1 = 30,000 Pa
Q8. Drawing Pin Pressure
Question: A drawing pin exerts a force of 5 N over an area of 0.001 m². Calculate the pressure applied by the pin.
Solution: Pressure = 5 / 0.001 = 5000 Pa
Q9. Child Standing on Both Feet
Question: A child weighing 350 N stands on both feet. If the total contact area of the feet is 0.025 m², find the pressure.
Solution: Pressure = 350 / 0.025 = 14,000 Pa
Q10. Finding Area from Force and Pressure
Question: A force of 180 N acts perpendicularly on a surface. The pressure exerted is 30 Pa. What is the area of the surface?
Solution: Area = 180 / 30 = 6 m²
Conclusion
Mastering pressure calculations is essential for understanding how forces distribute across surfaces, whether in engineering, physics, or daily life. These numerical questions provide practical insights into how small or large pressures can arise based on the area involved. Use this guide as a practice tool or a teaching resource to solidify your understanding of pressure concepts.