To convert pressure from pounds per square inch (psi) to kilopascals (kPa), you need to use the conversion factor that relates these two units of measurement. Specifically, 1 psi is equal to approximately 6.89476 kPa. Here's a detailed, step-by-step guide on how to perform this conversion:
1. Identify the given pressure in psi:
- We are given a pressure value of 24.5 psi.
2. Know the conversion factor:
- The conversion factor from psi to kPa is 6.89476. This means that for every 1 psi, there will be 6.89476 kPa.
3. Set up the conversion equation:
- To convert 24.5 psi to kPa, you multiply the given pressure value by the conversion factor. The equation looks like this:
[tex]\[
\text{kPa} = \text{psi} \times \text{conversion factor}
\][/tex]
4. Substitute the known values into the equation:
- Plugging in the values, we have:
[tex]\[
\text{kPa} = 24.5 \, \text{psi} \times 6.89476 \, \text{kPa/psi}
\][/tex]
5. Perform the multiplication:
- When you multiply 24.5 by 6.89476, you get:
[tex]\[
\text{kPa} = 168.92162
\][/tex]
Thus, 24.5 psi is equal to 168.92162 kPa.