Question

part a
one kind of stress is called pressure. pressure is calculated as force divided by area. force is a push or a pull. it is measured in units such as pounds or newtons. area is measured in units such as square inches or square meters. the equation for calculating pressure is ( p = \frac{f}{a} ) where ( p ) is pressure, ( f ) is force, and ( a ) is area.
use the equation to calculate the average pressure on the membrane below. express your answer in units of pounds per square inch (psi).
image: f = 60 lb, a = 24 sq.in. with a diagram of a membrane

Explanation:

Step1: Identify given values

We know that \( F = 60 \) lb and \( A = 24 \) sq.in. The formula for pressure is \( P=\frac{F}{A} \).

Step2: Substitute values into formula

Substitute \( F = 60 \) and \( A = 24 \) into the formula \( P=\frac{F}{A} \), we get \( P=\frac{60}{24} \).

Step3: Simplify the fraction

Simplify \( \frac{60}{24} \) by dividing numerator and denominator by their greatest common divisor, which is 12. \( \frac{60\div12}{24\div12}=\frac{5}{2} = 2.5 \).

Answer:

The average pressure on the membrane is \( 2.5 \) psi.