Question

an experiment that produces waves on a string is analyzed, and the experimental value for the wave speed is found to be 66 m/s. if the accepted value for the wave speed is 63 m/s, what is the percent error? 0.045% 0.048% 4.5% 4.8%

Explanation:

Step1: Calculate the absolute error

The formula for absolute error \(E_{abs}=\vert\text{Experimental value}-\text{Accepted value}\vert\).
Here, the experimental value \(v_{exp} = 66\space m/s\) and the accepted value \(v_{acc}=63\space m/s\).
So, \(E_{abs}=\vert66 - 63\vert=3\space m/s\)

Step2: Calculate the percent error

The formula for percent error \(E_{\%}=\frac{E_{abs}}{v_{acc}}\times100\%\)
Substitute \(E_{abs} = 3\space m/s\) and \(v_{acc}=63\space m/s\) into the formula.
\(E_{\%}=\frac{3}{63}\times 100\%=\frac{100}{21}\%\approx4.8\%\)

Answer:

4.8%