Meriam, Kraige & Bolton — Introduction to Statics: Problem 1_7

⚡ Mecademy AIENG정역학 · ch1  Problem Statement 1/7 Determine the weight in newtons of a woman whose weight in pounds is 125. Also, find her mass in slugs and in kilograms. Determine your own weight in newtons. Problem 1/7 (a) Weight in Newtons ● Calculation Process 1. Present Final Formula: To convert weight from U.S. Customary units (pounds, lb) to SI units (newtons, N), we use the standard conversion factor: where is the conversion factor . 2. Substitute Values: 3. Partial Operations: Performing the multiplication: . 4. Final Calculation: Rounding to three significant figures: ● Final Conclusion: The weight of the woman is . (b) Mass in Slugs ● Calculation Process 1. Present Final Formula: In the U.S. Customary system, weight is related to mass and gravitational acceleration by the formula: where standard gravity . W = N W × lb C f C f 1 lb≈4.4482 N W = N 125 lb× ( 1 lb 4.4482 N ) 125×4.4482=556.025 W ≈ N 556 N 556 N Wm g m = slugs g ft/s 2 W lb g≈ 32.174 ft/s 2 2. Substitute Values: 3. Partial Operations: Performing the division: . 4. Final Calculation: Rounding to three significant figures: ● Final Conclusion: The mass of the woman is . (c) Mass in Kilograms ● Calculation Process 1. Present Final Formula: In the SI system, mass is calculated from weight in Newtons using standard gravity : Alternatively, using the conversion from slugs: . 2. Substitute Values: Using the unrounded weight in Newtons: 3. Partial Operations: Performing the division: . 4. Final Calculation: Roun