A wooden board of dimensions 2 metres × 0.5 metres is placed on a table. What will be the pressure when a force of 80 Newton is applied on it?

by

Points to Remember:

  • Pressure is defined as force per unit area.
  • The unit of pressure is Pascal (Pa), which is equivalent to N/m².
  • The area of the wooden board needs to be calculated to determine the pressure.

Introduction:

Pressure is a fundamental concept in physics, defined as the force applied perpendicularly to the surface of an object per unit area over which that force is distributed. It’s calculated using the formula: Pressure (P) = Force (F) / Area (A). The SI unit for pressure is the Pascal (Pa), which is equivalent to one Newton per square meter (N/m²). Understanding pressure is crucial in various fields, from engineering and construction to fluid mechanics and meteorology. This question requires us to calculate the pressure exerted by a force on a wooden board of a given size.

Body:

1. Calculating the Area:

The wooden board has dimensions of 2 meters × 0.5 meters. Therefore, its area (A) is:

A = length × width = 2 m × 0.5 m = 1 m²

2. Calculating the Pressure:

The force (F) applied on the board is 80 Newtons. Using the formula for pressure:

P = F / A = 80 N / 1 m² = 80 Pa

Therefore, the pressure exerted on the table by the wooden board is 80 Pascals.

3. Factors Affecting Pressure:

While this calculation provides a simple answer, it’s important to note that several factors could influence the actual pressure experienced in a real-world scenario. These include:

  • Distribution of Force: The calculation assumes the force is evenly distributed across the entire surface of the board. If the force is concentrated on a smaller area, the pressure in that region would be significantly higher.
  • Material Properties: The properties of the wood itself (density, stiffness) could affect how the pressure is distributed and potentially lead to deformation of the board.
  • Table Surface: The nature of the table’s surface (smoothness, elasticity) could also influence the pressure distribution.

Conclusion:

In conclusion, when an 80-Newton force is applied evenly across a 1 m² wooden board, the resulting pressure is 80 Pascals. This calculation provides a simplified understanding of pressure. However, real-world applications require consideration of factors like force distribution, material properties, and the nature of the supporting surface for a more accurate assessment of pressure. Further investigation into these factors would lead to a more comprehensive understanding of pressure and its implications in various engineering and physics applications. A holistic approach considering these complexities is crucial for accurate predictions and safe design practices.

UKPCS Notes brings Prelims and Mains programs for UKPCS Prelims and UKPCS Mains Exam preparation. Various Programs initiated by UKPCS Notes are as follows:- For any doubt, Just leave us a Chat or Fill us a querry––