Question

arlo performs an experiment for his physical science class and finds that the gravitational acceleration due to the earth is 9 meters per second squared. the actual value is 9.8 meters per second squared. what is the percent error in arlos measurement, to the nearest tenth? -8.2% -8.9% -9.0% -9.4%

Explanation:

Step1: Calculate the absolute error

The formula for absolute error is \(| \text{Measured Value}-\text{Actual Value}|\).
Here, measured value \(= 9\), actual value \(= 9.8\).
\(|9 - 9.8|=| - 0.8| = 0.8\)

Step2: Calculate the percent error

The formula for percent error is \(\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%\)
Substitute the values: \(\frac{0.8}{9.8}\times100\%=\frac{80}{9.8}\%\approx8.2\%\)

Since the measured value is less than the actual value, the percent error is \(- 8.2\%\)

Answer:

• 8.2%