Convert the following quantities into SI units with the correct number of significant figures. (d) 65 mi/h

Verified step by step guidance

1. Identify the given quantity and its units: 65 miles per hour (mi/h).
2. Recall the conversion factors: 1 mile = 1609.34 meters and 1 hour = 3600 seconds.
3. Convert miles to meters: Multiply 65 miles by 1609.34 meters/mile.
4. Convert hours to seconds: Divide the result by 3600 seconds/hour.
5. Ensure the final answer has the correct number of significant figures, which is determined by the original measurement (65 mi/h has two significant figures).

Key Concepts

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. When converting measurements, it is essential to maintain the correct number of significant figures to ensure the accuracy of the result.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. This often involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert miles per hour to meters per second, one would use the conversion factors for miles to meters and hours to seconds.

SI Units

The International System of Units (SI) is the standard system of measurement used in science and engineering. It includes base units such as meters for length, kilograms for mass, and seconds for time. Converting quantities to SI units ensures consistency and comparability in scientific communication and calculations.