Question

A pupil determines the velocity of sound as 330 m/s. If the actual velocity of sound is 332 m/s. Calculate the percentage error.

Answer 1

Step 1: Given data

Velocity of sound determined by pupil $V_1=330m/s$

Actual velocity of sound(Actual value $V_2=332m/s$

Step 2: Calculating absolute error

$$\begin{gathered} Ansolutevalue=Actualvalue-Measuredvalue \\ =V_2-V_1 \\ =332m/s-330m/s \\ =12m/s \end{gathered}$$

Hence, the absolute error is 12 m/s

Step 3: Percentage error

$$\begin{gathered} Percentageerror=\frac{Absoluteerror}{Actualvalue}\times 100 \\ =\frac{12}{332}\times 100 \\ =3.61\% \end{gathered}$$

Hence, the percentage error is 3.61%.