An automobile is traveling at 55 mi / h. Find its speed (a) in ft / s. (b) in m / s. (c) in km /

step 1 This problem an automobile is traveling at 55 miles per hour and We have to find out the speed i

An automobile is traveling at 55 mi / h. Find its speed (a)...

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Key Concepts

Imperial and Metric Systems

Understanding the distinction between the imperial and metric systems is crucial when converting speeds or other measurements. The imperial system uses units like miles, feet, and hours, while the metric system uses kilometers, meters, and seconds. Converting between these systems requires applying the correct conversion factors to ensure accuracy.

Conversion Factors

Conversion factors are numerical relationships that allow one to convert between different units. For example, knowing that one mile equals 5280 feet, one hour equals 3600 seconds, and one mile is approximately 1.609 kilometers is essential for switching between speed units in the imperial and metric systems.

Unit Conversion

This concept involves converting a measurement from one set of units to another using appropriate conversion factors. It requires understanding and applying relationships such as miles to feet, miles to kilometers, and hours to seconds to change the magnitude while keeping the physical quantity consistent.

Dimensional Analysis

Dimensional analysis is a technique used to convert units by multiplying by fractions that represent conversion factors. It ensures that the desired unit is obtained through systematic cancellation of units and is a critical method for verifying that the conversion process has been performed correctly.

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