To calculate the percent uncertainty in the measurement of the speed of the bullet train, we use the formula:
\[ \text{Percent Uncertainty} = \left( \frac{\text{Uncertainty}}{\text{Measured Value}} \right) \times 100 \]
In this case, the uncertainty is \(3.9 , \text{mph}\) and the measured value is \(312.0 , \text{mph}\).
Now, substituting the values into the formula:
\[ \text{Percent Uncertainty} = \left( \frac{3.9}{312.0} \right) \times 100 \]
Calculating that:
\[ \text{Percent Uncertainty} = \left( 0.0125 \right) \times 100 \approx 1.25% \]
Rounding to two decimal places, the percent uncertainty is approximately 1.3%.
Therefore, the answer is A 1.3%.
1 answer