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Chapter 1: Problem 47

A 6.0 -ft person weighs 168 ib. Express this person's height in meters and weight in kilograms. (1 Ib = \(453.6 \mathrm{~g} ; 1 \mathrm{~m}=3.28 \mathrm{ft} .)\)

Short Answer

Expert verified
The person's height and weight in the metric system are approximately 1.83 meters and 76.20 kilograms, respectively.

Step by step solution

01

Convert height from feet to meters

The person is 6.0 feet tall. To convert feet to meters, one should multiply by approximately 0.3048 because 1 foot equals to 0.3048 meters.\nSo, \(6.0 \text{ feet} \times 0.3048 = 1.8288 \text{ meters}\).
02

Convert weight from pounds to kilograms

The person weighs 168 pounds. To convert pounds to kilograms, you need to multiply by approximately 0.4536 because 1 pound equals 0.4536 kilograms.\nSo, \(168 \text{ pounds} \times 0.4536 = 76.203 \text{ kilograms}\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Feet to Meters Conversion
Converting feet to meters is a common task when dealing with the metric system, especially in science and engineering. To perform this conversion, you multiply the number of feet by 0.3048, as there are 0.3048 meters in a foot.
For instance, if you want to convert 6.0 feet to meters, you calculate it as follows:
  • Take the height in feet (6.0 ft in this example).
  • Multiply by the conversion factor (0.3048).
  • The result is the height in meters: \( 6.0 \text{ feet} \times 0.3048 = 1.8288 \text{ meters} \).
This conversion is helpful to precisely communicate measurements, especially in global contexts where the metric system is the standard. Remember, precise conversions help avoid misunderstandings in measurements.
Pounds to Kilograms Conversion
Pounds to kilograms conversion is frequently required when working with living organisms, like reporting human body weight, since many countries use the metric system. To convert pounds to kilograms, you use a conversion factor of 0.4536, as 1 pound equals 0.4536 kilograms.
To illustrate this, consider converting 168 pounds to kilograms:
  • Start with the weight in pounds (168 lb in this case).
  • Multiply by the conversion factor (0.4536).
  • The result is the weight in kilograms: \(168 \text{ pounds} \times 0.4536 = 76.203 \text{ kilograms} \).
Using the metric unit of kilograms instead of pounds allows for uniformity and simplifies scientific calculations. This method is crucial for consistency in data analysis and comparison.
Metric System in Chemistry
The metric system is a globally recognized system of measurement that is vital in chemistry for consistency and precision. It simplifies the recording and sharing of data, featuring units like meters for length, kilograms for mass, and liters for volume.
In chemistry, measurements are often required to be precise to ensure accurate calculations for chemical reactions, concentrations, and conditions. For instance, when you need to use the metric system:
  • Converting all measurements to metric units before calculations ensures accuracy.
  • Using the base units (meters, liters, grams) helps simplify calculations and equations.
  • Metric prefixes (like kilo-, centi-, milli-) allow for flexibility and precision in measurements.
Many scientific fields rely on this system for standardization across different studies and disciplines, promoting clear communication and reproducibility of results.

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Most popular questions from this chapter

For a fighter jet to take off from the deck of an aircraft carrier, it must reach a speed of \(62 \mathrm{~m} / \mathrm{s}\) Calculate the speed in miles per hour (mph).

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The following procedure was used to determine the volume of a flask. The flask was weighed dry and then filled with water. If the masses of the empty flask and filled flask were \(56.12 \mathrm{~g}\) and \(87.39 \mathrm{~g},\) respectively, and the density of water is \(0.9976 \mathrm{~g} / \mathrm{cm}^{3}\), calculate the volume of the flask in \(\mathrm{cm}^{3}\).
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