Select the correct answer.
The pressure applied on any object can be calculated by using the following equation:
[tex]$P=\frac{F}{A}$[/tex]
In the pressure equation, [tex]$P$[/tex] represents the pressure on the object in pascals ([tex]$Pa$[/tex]), [tex]$F$[/tex] represents the force applied on the object in newtons ([tex]$N$[/tex]), and [tex]$A$[/tex] represents the area, in square meters, of the object over which the pressure is applied.
What is the pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied?
Note: Answers should be rounded to the nearest whole unit.
A. 245 Pa
B. 163 Pa
C. 41 Pa
D. 82 Pa
Answer (2)
Substitute the given force F = 1306 N and area A = 16 m 2 into the pressure formula P = A F .
Calculate the pressure: P = 16 1306 = 81.625 Pa.
Round the calculated pressure to the nearest whole unit: P ≈ 82 Pa.
The pressure applied inside the container is 82 Pa.
Explanation
Understanding the Problem We are given the formula for pressure: P = A F , where P is the pressure, F is the force, and A is the area. We are given that the force F = 1306 newtons and the area A = 16 square meters. We need to find the pressure P and round it to the nearest whole unit.
Applying the Formula Substitute the given values into the formula: P = 16 1306 .
Calculating the Pressure Calculate the pressure: P = 81.625 pascals.
Rounding the Result Round the pressure to the nearest whole unit: P ≈ 82 pascals.
Final Answer Therefore, the pressure applied inside the container is approximately 82 Pa.
Examples
Understanding pressure is crucial in many real-world applications. For example, when designing tires for vehicles, engineers need to calculate the pressure exerted on the road to ensure optimal grip and safety. Similarly, in construction, knowing the pressure exerted by a building's foundation on the ground is essential to prevent structural failure. By applying the formula P = A F , we can determine the pressure in various scenarios, helping us design safer and more efficient systems.
The pressure applied inside the container is calculated using the formula P = A F . After substituting the values, we find that the pressure is approximately 82 Pa. Thus, the correct answer is 82 Pa.
;
