2.) Calculate the Radius of the spinning mass based on the following data:
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![**Calculate the Radius of the Spinning Mass Based on the Following Data**
This section involves determining the radius of a spinning mass using experimental data represented on a graph.
**Graph Explanation:**
- **Axes:**
- The x-axis represents Angular Velocity squared (\(z^2\)), measured in radians per second squared (\((\text{rad/s})^2\)).
- The y-axis represents Force (F), measured in Newtons (N).
- **Data Points:**
- The graph includes a series of data points plotted to show the relationship between the force exerted and the angular velocity squared of the spinning mass.
- **Line of Best Fit:**
- A linear fit, represented by the equation \(mwz + b\), is applied to the data points.
- **Equation Details:**
- **Slope (m):** 0.00995 \(\pm\) 1.6x10\(^-5\)
- **Y-intercept (b):** 0.0760 \(\pm\) 0.0011
- **Correlation Coefficient (r):** 1.000, indicating a perfect linear relationship.
- **Additional Information:**
- The mass of the spinning object is given as 90.5 g.
This graph is used to calculate the radius of the spinning mass by analyzing how the force varies with changes in angular velocity squared and using the linear fit parameters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca2f9b55-192d-4d11-af1a-09dd4cdb3489%2F6d6e5e26-6b4c-4668-a256-e341d70c30c5%2Fhaymtir_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculate the Radius of the Spinning Mass Based on the Following Data**
This section involves determining the radius of a spinning mass using experimental data represented on a graph.
**Graph Explanation:**
- **Axes:**
- The x-axis represents Angular Velocity squared (\(z^2\)), measured in radians per second squared (\((\text{rad/s})^2\)).
- The y-axis represents Force (F), measured in Newtons (N).
- **Data Points:**
- The graph includes a series of data points plotted to show the relationship between the force exerted and the angular velocity squared of the spinning mass.
- **Line of Best Fit:**
- A linear fit, represented by the equation \(mwz + b\), is applied to the data points.
- **Equation Details:**
- **Slope (m):** 0.00995 \(\pm\) 1.6x10\(^-5\)
- **Y-intercept (b):** 0.0760 \(\pm\) 0.0011
- **Correlation Coefficient (r):** 1.000, indicating a perfect linear relationship.
- **Additional Information:**
- The mass of the spinning object is given as 90.5 g.
This graph is used to calculate the radius of the spinning mass by analyzing how the force varies with changes in angular velocity squared and using the linear fit parameters.
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