Chapter 1: Q5. (page 18)

What is the percent uncertainty in the measurement $5.48 \pm 0.25 m$ ?

Short Answer

Expert verified

The percent uncertainty in the measurement is $4.6 %$ .

Step by step solution

Step 1. Percent uncertainty in the measurement

Percent uncertainty can be mathematically expressed as the ratio of the absolute value of uncertainty to the given measured value multiplied by 100.

Consider the measurement $7.42 \pm 0.16 m$ . The percent uncertainty in this measurement can be expressed as:

$\begin{matrix} Percentuncertainty = \frac{0.16 m}{7.42 m} \times 100 % \\ = 2.16 % \end{matrix}$

Thus, the uncertainty in the given measurement is $2.16 %$ .

Step 2. Calculation of percent uncertainty in the measurement 5.48±0.25m

The percent uncertainty in the given measurement is as follows:

$\begin{matrix} Percentuncertainty = \frac{0.25 m}{5.48 m} \times 100 % \\ = 4.562 % \\ \approx 4.6 % \end{matrix}$

Thus, the uncertainty in the given measurement is $4.6 %$ .

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What is the percent uncertainty in the measurement $5.48 \pm 0.25 m$ ?

Short Answer

Step by step solution

Step 1. Percent uncertainty in the measurement

Step 2. Calculation of percent uncertainty in the measurement 5.48±0.25m

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What is the percent uncertainty in the measurement5.48±0.25m?

Short Answer

Step by step solution

Step 1. Percent uncertainty in the measurement

Step 2. Calculation of percent uncertainty in the measurement 5.48±0.25m

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

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What is the percent uncertainty in the measurement $5.48 \pm 0.25 m$ ?