Answer :
Sure! Let's convert the pressure from pounds per square inch to short tons per square foot.
1. Understand the Units:
- We start with the pressure given in pounds per square inch (lb/sq in).
- We need to convert this to short tons per square foot (short tons/sq ft).
2. Conversions Required:
- Pounds to Short Tons: There are 2,000 pounds in a short ton. Thus, 1 pound is equal to [tex]\( \frac{1}{2000} \)[/tex] short tons.
- Square Inches to Square Feet: There are 144 square inches in a square foot. Thus, 1 square inch is equal to [tex]\( \frac{1}{144} \)[/tex] of a square foot.
3. Find Conversion Factor:
- To convert from lb/sq in to short tons/sq ft, we need to combine these conversion factors:
- [tex]\( \text{1 lb/sq in} = \left(\frac{1}{2000} \text{ short tons}\right) / \left(\frac{1}{144} \text{ sq ft}\right) \)[/tex].
- Simplifying this, we get [tex]\( \frac{144}{2000} \)[/tex] short tons/sq ft.
4. Apply the Conversion:
- Multiply the given value in lb/sq in by the conversion factor.
- Given pressure: 63.4 lb/sq in.
- Conversion factor: [tex]\( \frac{144}{2000} \)[/tex].
5. Calculate:
- [tex]\( 63.4 \, \text{lb/sq in} \times \frac{144}{2000} = 4.5648 \, \text{short tons/sq ft} \)[/tex].
So, 63.4 pounds per square inch is equivalent to 4.5648 short tons per square foot.
1. Understand the Units:
- We start with the pressure given in pounds per square inch (lb/sq in).
- We need to convert this to short tons per square foot (short tons/sq ft).
2. Conversions Required:
- Pounds to Short Tons: There are 2,000 pounds in a short ton. Thus, 1 pound is equal to [tex]\( \frac{1}{2000} \)[/tex] short tons.
- Square Inches to Square Feet: There are 144 square inches in a square foot. Thus, 1 square inch is equal to [tex]\( \frac{1}{144} \)[/tex] of a square foot.
3. Find Conversion Factor:
- To convert from lb/sq in to short tons/sq ft, we need to combine these conversion factors:
- [tex]\( \text{1 lb/sq in} = \left(\frac{1}{2000} \text{ short tons}\right) / \left(\frac{1}{144} \text{ sq ft}\right) \)[/tex].
- Simplifying this, we get [tex]\( \frac{144}{2000} \)[/tex] short tons/sq ft.
4. Apply the Conversion:
- Multiply the given value in lb/sq in by the conversion factor.
- Given pressure: 63.4 lb/sq in.
- Conversion factor: [tex]\( \frac{144}{2000} \)[/tex].
5. Calculate:
- [tex]\( 63.4 \, \text{lb/sq in} \times \frac{144}{2000} = 4.5648 \, \text{short tons/sq ft} \)[/tex].
So, 63.4 pounds per square inch is equivalent to 4.5648 short tons per square foot.
