Math Problem Statement

Calculate the percent error for the values: Measured value = 7.5 m/s², True value = 7.8 m/s². Round your answer to the nearest tenth of a percent.

Solution

The image you uploaded is a bit blurry, but I will try to interpret it as accurately as possible.

From what I can see, the problem involves finding the percent error for a value of acceleration, with a measured value of 7.5 m/s² and a true value of 7.8 m/s².

To calculate the percent error, we can use the formula:

Percent Error=(Measured ValueTrue ValueTrue Value)×100\text{Percent Error} = \left( \frac{|\text{Measured Value} - \text{True Value}|}{\text{True Value}} \right) \times 100

Let's plug in the values:

  • Measured Value = 7.5 m/s²
  • True Value = 7.8 m/s²

The formula becomes:

Percent Error=(7.57.87.8)×100\text{Percent Error} = \left( \frac{|7.5 - 7.8|}{7.8} \right) \times 100

Now let's calculate this.

Percent Error=(0.37.8)×1003.85%\text{Percent Error} = \left( \frac{0.3}{7.8} \right) \times 100 \approx 3.85\%

So, the percent error is approximately 3.85%.

Would you like more details, or do you have any questions?

Here are some related questions for further exploration:

  1. What is the significance of percent error in experiments?
  2. How do you calculate percent error for multiple measurements?
  3. What is the difference between percent error and absolute error?
  4. How can reducing human error improve percent error in an experiment?
  5. When is a high percent error acceptable in scientific measurements?

Tip: Always double-check your calculations to ensure accuracy, especially when dealing with small differences.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Percent Error
Measurement Error
Absolute Value

Formulas

Percent Error = (|Measured Value - True Value| / True Value) × 100

Theorems

Basic Arithmetic Operations

Suitable Grade Level

Grades 6-8