Convert: 350 lb/ft3 to kN/m3 and round the result to three significant figures. A

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Title: Conversion of Units - Example Task**

**Objective:**
Convert a given value from pounds per cubic foot (lb/ft³) to kilonewtons per cubic meter (kN/m³) and round the result to three significant figures.

**Problem Statement:**
Convert: 350 lb/ft³ to kN/m³ and round the result to three significant figures.

**Solution Box:**
An input box is available for students to enter their answers.

**Note:**
To complete this task, students must utilize the appropriate conversion factors and apply the principles of unit conversion accurately.

**Concept Explanation:**
1. Understand the units involved.
   - Pounds per cubic foot (lb/ft³): A unit of density commonly used in the United States.
   - Kilonewtons per cubic meter (kN/m³): A SI unit of density.

2. Use conversion factors to transform units:
   - 1 lb = 4.44822 N
   - 1 ft = 0.3048 m

3. Perform the unit conversion:
\[ 350 \, \text{lb/ft}^3 \]
\[ 350 \, \text{lb/ft}^3 \times \frac{4.44822 \, \text{N}}{1 \, \text{lb}} \times \left(\frac{1 \, \text{ft}}{0.3048 \, \text{m}}\right)^3 \]

4. Simplify the calculation and round the final result to three significant figures.

**Additional Task:**
Students should input their final answers in the provided input box for verification.

In this exercise, students are expected to demonstrate their understanding of unit conversions and significant figures, critical skills in scientific and engineering calculations.
Transcribed Image Text:**Title: Conversion of Units - Example Task** **Objective:** Convert a given value from pounds per cubic foot (lb/ft³) to kilonewtons per cubic meter (kN/m³) and round the result to three significant figures. **Problem Statement:** Convert: 350 lb/ft³ to kN/m³ and round the result to three significant figures. **Solution Box:** An input box is available for students to enter their answers. **Note:** To complete this task, students must utilize the appropriate conversion factors and apply the principles of unit conversion accurately. **Concept Explanation:** 1. Understand the units involved. - Pounds per cubic foot (lb/ft³): A unit of density commonly used in the United States. - Kilonewtons per cubic meter (kN/m³): A SI unit of density. 2. Use conversion factors to transform units: - 1 lb = 4.44822 N - 1 ft = 0.3048 m 3. Perform the unit conversion: \[ 350 \, \text{lb/ft}^3 \] \[ 350 \, \text{lb/ft}^3 \times \frac{4.44822 \, \text{N}}{1 \, \text{lb}} \times \left(\frac{1 \, \text{ft}}{0.3048 \, \text{m}}\right)^3 \] 4. Simplify the calculation and round the final result to three significant figures. **Additional Task:** Students should input their final answers in the provided input box for verification. In this exercise, students are expected to demonstrate their understanding of unit conversions and significant figures, critical skills in scientific and engineering calculations.
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