An object weighs 70.7 kg. What is the weight of this object in the English system? [1 pound=453.6 grams
The Correct Answer and Explanation is:
To convert the weight of an object from kilograms (kg) to pounds (lbs), we use the conversion factor:
1 pound = 453.6 grams
Step-by-Step Conversion:
- Convert kilograms to grams:
Since 1 kg = 1,000 grams,
70.7 kg=70.7×1,000=70,700 grams70.7 \, \text{kg} = 70.7 \times 1,000 = 70,700 \, \text{grams} - Convert grams to pounds:
70,700 grams÷453.6 grams/pound=155.89 pounds (approx)70,700 \, \text{grams} \div 453.6 \, \text{grams/pound} = 155.89 \, \text{pounds (approx)}
Answer: 70.7 kg = 155.89 pounds (rounded to two decimal places)
Explanation
Understanding unit conversions is essential, especially when working between metric and English (imperial) systems. The metric system, used widely around the world and in scientific contexts, is based on multiples of ten, making it simpler for calculations. On the other hand, the English system, still commonly used in the United States, relies on units like pounds, feet, and inches, which do not convert as cleanly.
In this example, the object’s weight is given as 70.7 kilograms. To express this in the English system, we first convert kilograms to grams (since 1 kg = 1,000 grams), yielding 70,700 grams. Then, using the conversion factor 1 pound = 453.6 grams, we divide the total grams by 453.6 to find the equivalent in pounds. This gives us approximately 155.89 pounds.
Conversions like this are especially important in international fields like science, engineering, and logistics. For instance, aircraft and cargo weights need to be understood and verified across countries using different measurement systems. Misunderstandings in unit conversion have led to costly errors in the past, such as the famous Mars Climate Orbiter failure due to a mix-up between newton-seconds and pound-seconds.
Thus, being precise and understanding how to convert units correctly ensures accuracy, safety, and effective communication, especially in technical fields. Using accurate conversion factors and doing step-by-step calculations help avoid errors and build a strong foundation in problem-solving across measurement systems.
