Your mom wants you to hang a flower pot from a round steel wire. The radius of the wire is .05 inches. The pot weighs 20 lbs. Using the equation of stress:

The stress on a material is given by the formula:

\[
\text{Stress} = \frac{\text{Force}}{\text{Area}}
\]

Where:
- Stress is measured in pounds per square inch (psi) in this context.
- Force is the weight or load applied (in pounds).
- Area is the cross-sectional area of the steel wire (in square inches).

### Step 1: Calculate the Cross-Sectional Area of the Wire
The cross-sectional area \( A \) of a circular wire is given by the formula:

\[
A = \pi r^2
\]

Where:
- \( r \) is the radius of the wire.
- \( \pi \) is approximately 3.1416.

Given:
- The radius of the wire \( r = 0.05 \) inches.

\[
A = \pi (0.05)^2 = 3.1416 \times 0.0025 = 0.007854 \text{ square inches.}
\]

### Step 2: Calculate the Stress
Now, use the stress formula:

\[
\text{Stress} = \frac{\text{Force}}{\text{Area}} = \frac{20 \text{ lbs}}{0.007854 \text{ in}^2} = 2547.17 \text{ psi.}
\]

Thus, the stress on the wire is approximately **2547.17 psi**.

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

### 5 Related Questions:
1. How does the diameter of the wire affect the stress calculation?
2. What would happen if the weight of the pot increased?
3. How does the material of the wire (steel in this case) influence its stress limit?
4. What is the maximum stress steel wire can withstand before failure?
5. How would the stress change if the wire had a different cross-sectional shape?

### Tip:
Always ensure the material's tensile strength is greater than the stress calculated to avoid failure under load.

Your mom wants you to hang a flower pot from a round steel wire. The radius of the wire is 0.05 inches. The pot weighs 20 lbs. Using the equation of stress:

Learn how to calculate the stress on a steel wire with a radius of 0.05 inches, supporting a 20 lb pot. This problem involves calculating the circular cross-sectional area and applying the stress formula. Ideal for Grades 10-12, with detailed steps and calculations.

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