To determine the percent increase in pressure when the pressure in a hydraulic line increases from 80 psi to 90 psi, follow these steps:
1. Calculate the initial pressure:
The initial pressure is given as 80 psi.
2. Determine the final pressure:
The final pressure is given as 90 psi.
3. Calculate the increase in pressure:
To find the increase in pressure, subtract the initial pressure from the final pressure:
[tex]\[
\text{Increase in pressure} = \text{Final pressure} - \text{Initial pressure}
\][/tex]
Substituting the given values:
[tex]\[
\text{Increase in pressure} = 90 \text{ psi} - 80 \text{ psi} = 10 \text{ psi}
\][/tex]
4. Calculate the percent increase:
The percent increase is calculated using the formula:
[tex]\[
\text{Percent increase} = \left(\frac{\text{Increase in pressure}}{\text{Initial pressure}}\right) \times 100
\][/tex]
Substituting the values:
[tex]\[
\text{Percent increase} = \left(\frac{10 \text{ psi}}{80 \text{ psi}}\right) \times 100 = 0.125 \times 100 = 12.5\%
\][/tex]
Therefore, the percent increase in pressure is [tex]\(12.5\%\)[/tex].
