Question

part b heres another kind of pressure problem. a force of 22 pounds presses on a membrane. the average pressure on the membrane is 2.75 pounds per square inch (psi). what is the area of the membrane in square inches? the equation for calculating pressure is $p = \frac{f}{a}$ where $p$ is pressure, $f$ is force, and $a$ is area. f = 22 lb. a = ? sq.in.

Explanation:

Step1: Rearrange the pressure formula

We know the pressure formula is \( P=\frac{F}{A} \). To solve for \( A \), we can multiply both sides of the equation by \( A \) and then divide by \( P \) (assuming \( P
eq0 \)). This gives us the formula for area: \( A = \frac{F}{P} \).

Step2: Substitute the given values

We are given that \( F = 22 \) pounds and \( P=2.75 \) psi. Substitute these values into the formula for \( A \): \( A=\frac{22}{2.75} \).

Step3: Perform the division

Calculate \( \frac{22}{2.75} \). We can think of this as \( 22\div2.75 \). Since \( 2.75\times8 = 22 \), so \( \frac{22}{2.75}=8 \).

Answer:

The area of the membrane is 8 square inches.