One side of a flat board has an area of 874 square inches.

Question

One side of a flat board has an area of 874 square inches. If a pressure of 19 pounds per square inch of area is exerted on this side of the board, what is the total force, in pounds, exerted on this side of the board?

Answer:

The total force exerted on the side of the board is 16,606 pounds.

Explanation:

Step 1: Understand the Formula for Force

The force exerted is calculated using the formula:
${Force} = {Pressure *Area}$

Where:

• Pressure = 19 psi (pounds per square inch)
• Area = 874 square inches

Step 2: Apply the Values

Substitute the given values into the formula:
${Force} = 19 \times 874 = 16,606 pounds$

Extended Knowledge:

Pressure and Force

Pressure is defined as force per unit area, and it determines how much force is applied to a given surface area.

Units of Measurement

In this problem, the pressure is measured in pounds per square inch (psi), and the area is measured in square inches. The resulting force is in pounds.

Certainly! Here are four similar questions related to force, pressure, and area, formatted like your example:

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Similar Questions

Question 1

A force of 600 Newtons is applied to a surface area of 30 square meters. What is the pressure exerted on the surface in N/m²?

Answer:

The pressure exerted on the surface is 20 N/m².

Explanation:

Step 1: Understand the Formula for Pressure
Pressure is calculated using the formula:
$\text{Pressure} = \frac{\text{Force}}{\text{Area}}$

Step 2: Apply the Values
Substitute the given values into the formula:
$\text{Pressure} = \frac{600\, \text{N}}{30\, \text{m}^2} = 20\, \text{N/m}^2$

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Question 2

An object exerts a pressure of 15 N/m² on a floor area of 3 m². What is the force exerted by the object in Newtons?

Answer:

The force exerted by the object is 45 Newtons.

Explanation:

Step 1: Understand the Formula for Force
Force is calculated using the formula:
$\text{Force} = \text{Pressure} \times \text{Area}$

Step 2: Apply the Values
Substitute the given values into the formula:
$\text{Force} = 15\, \text{N/m}^2 \times 3\, \text{m}^2 = 45\, \text{N}$

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Question 3

A box exerts a force of 240 Newtons on a table, resulting in a pressure of 80 N/m². What is the contact area of the box in square meters?

Answer:

The contact area of the box is 3 square meters.

Explanation:

Step 1: Understand the Formula for Area
Area is calculated using the formula:
$\text{Area} = \frac{\text{Force}}{\text{Pressure}}$

Step 2: Apply the Values
Substitute the given values into the formula:
$\text{Area} = \frac{240\, \text{N}}{80\, \text{N/m}^2} = 3\, \text{m}^2$

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Question 4

A crate exerts a force of 1,200 Newtons on a pallet. If the area of contact is 16 m², what is the pressure exerted by the crate on the pallet in N/m²?

Answer:

The pressure exerted by the crate on the pallet is 75 N/m².

Explanation:

Step 1: Understand the Formula for Pressure
Pressure is calculated using the formula:
$\text{Pressure} = \frac{\text{Force}}{\text{Area}}$

Step 2: Apply the Values
Substitute the given values into the formula:
$\text{Pressure} = \frac{1,200\, \text{N}}{16\, \text{m}^2} = 75\, \text{N/m}^2$