Meriam, Kraige & Bolton — Introduction to Statics: Problem 1_5

⚡ Mecademy AIENG정역학 · ch1  Problem Statement 1/5 What is the mass in both slugs and kilograms of a 3000-lb car? Problem 1/5 (a) Mass in Slugs ● Calculation Process 1. Present Final Formula: In the U.S. Customary system, weight is related to mass and the acceleration due to gravity by the formula: 2. Substitute Values: We are given the weight . We use the standard textbook value for acceleration due to gravity in U.S. units, . 3. Partial Operations: Performing the division: 4. Final Calculation: Rounding to three significant figures: ● Final Conclusion: The mass of the car is . (b) Mass in Kilograms ● Calculation Process 1. Present Final Formula: To find the mass in kilograms, we can convert the weight to Newtons and divide by gravity in SI units (), or use a direct mass conversion from slugs. We will use the direct mass conversion: where . Wm g m= g W W=3000 lb g≈ 32.2 ft/s 2 m= 32.2 ft/s 2 3000 lb m≈93.1677 slugs m=93.2 slugs 93.2 slugs g≈ 9.81 m/s 2 m = kg m × slugs Conversion Factor 1 slug≈14.5939 kg 2. Substitute Values: Using the more precise mass value from step (a): (Note: Using with standard gives ). Alternatively, using : 3. Partial Operations: 4. Final Calculation: Rounding to four significant figures (standard for mass conversions): ● Final Conclusion: The mass of the car is . ✨ Final Answer Summary (a) Mass in slugs: (b) Mass in kilograms: Mecademy AI Solution · ENGProblem 1/5 m = kg 93.243 slugs×14.5939 kg/slug m=W/gg= 32.174 ft/s 2 93.243 slugs 1 lb = m 0.45359