https://file.aiquickdraw.com/mathbot/file/1729826342154hsszz2ax.jpg

In the image, you are calculating the percent error between a theoretical and a calculated value, then discussing possible reasons for the discrepancy.

The calculation for percent error is:
\[
\text{Percent Error} = \frac{\left| \text{Experimental Value} - \text{Theoretical Value} \right|}{\text{Theoretical Value}} \times 100
\]
In your case:
\[
\text{Percent Error} = \frac{|0.0063 - 0.375|}{0.375} \times 100 = 98.32\%
\]
This shows a very large percent error.

The reasons for this discrepancy, as written, include:
1. **Assumption that the pulley doesn't have rotational inertia**: This means the pulley is assumed to not resist changes in rotational motion, which could cause errors in the calculated forces or accelerations.
2. **Neglecting the weight of the string**: If the string has mass, its weight would affect the overall forces in the system, leading to a discrepancy in theoretical calculations.

Would you like more details on this calculation or the physical interpretations?

Here are some follow-up questions:
1. What other physical factors could affect the experiment's outcome?
2. How does rotational inertia influence pulley systems?
3. What is the role of friction in pulley systems, and how might it affect results?
4. Could air resistance affect this experiment significantly?
5. How can the theoretical model be improved to account for the discrepancies?

**Tip:** Always check if assumptions made in theoretical models hold true in real-world conditions, as they can lead to significant percent errors.

Compare your theoretical value (from part 0.3) to the calculated value by percent error? Describe two physical reasons that could cause the discrepancy.

Learn how to calculate percent error using the formula (|Experimental Value - Theoretical Value| / Theoretical Value) * 100. This example highlights a 98.32% error and discusses physical reasons for discrepancies, such as ignoring rotational inertia and string mass. Ideal for students in Grades 9-12 studying experimental physics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation