Meriam, Kraige & Bolton — Introduction to Statics: Problem 1_8

⚡ Mecademy AIENG정역학 · ch1  Problem Statement 1/8 Suppose that two nondimensional quantities are exactly and . Using the rules for significant figures as stated in this chapter, express the four quantities , , , and . Problem 1/8 Introduction to Rules for Significant Figures In engineering mechanics, numerical results are generally expressed using the following conventions for significant figures: Addition and Subtraction: The result is rounded to the same number of decimal places as the input value with the fewest decimal places. Multiplication and Division: Results are generally expressed to three significant figures. However, if the leading digit of the result is 1, it is standard practice to retain four significant figures for improved relative accuracy. Given values: (has 2 decimal places, 3 significant figures) (has 3 decimal places, 4 significant figures) (a) Expression for ● Calculation Process 1. Present Final Formula: 2. Substitute Values: 3. Partial Operations: A=8.67B=1.429 (A+B)(A−B)(AB)(A/B) A=8.67 B=1.429 (A+B) Sum=A+B Sum=8.67+1.429 Sum=10.099 4. Final Calculation: According to the rule for addition, the result must be rounded to 2 decimal places (the precision of ). ● Final Conclusion: The sum is . (b) Expression for ● Calculation Process 1. Present Final Formula: 2. Substitute Values: 3. Partial Operations: 4. Final Calculation: According to the rule for subtraction, the result must be rounded to 2 decimal places (the precision of ). ● Final Conclusion: The