Question

The current speed limit in some states in the United States is 55 mph. What is the speed limit in kilometers per hour ( $1 \mathrm{mi}=$ $1609 \mathrm{m}) ?$

Name: Problem 61, Chapter 1: Chemistry
Uploaded: 2020-07-11T07:43:54-08:00
Duration: 1 min 9 s
Channel: Himanshu Garg
Description: The current speed limit in some states in the United States is 55 mph. What is the speed limit in kilometers per hour ( 1 mi= 1609 m) ?

   The current speed limit in some states in the United States is
55 mph. What is the speed limit in kilometers per hour ( $1 \mathrm{mi}=$ $1609 \mathrm{m}) ?$

Chemistry

Julia Burdge 1st Edition

Chapter 1, Problem 61

Instant Answer

Solved by Expert Himanshu Garg

07/11/2020

Step 1

We know that 1 mile is equal to 1609 meters. So, we multiply the speed limit by the conversion factor from miles to meters: \[55 \, \text{mph} \times \frac{1609 \, \text{meters}}{1 \, \text{mile}}\] Show more…

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The current speed limit in some states in the United States is 55 mph. What is the speed limit in kilometers per hour ( $1 \mathrm{mi}=$ $1609 \mathrm{m}) ?$

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Key Concepts

Dimensional Analysis

Dimensional analysis is a systematic method that involves multiplying by conversion factors to ensure that the units cancel appropriately, leaving the desired units in the final result. This technique is crucial for verifying that calculations involving different units are consistent and accurate.

Conversion Factors

Conversion factors are numerical ratios that express how many of one unit are equal to another unit. They provide a bridge between different measurement systems by defining the exact equivalence needed to accurately perform unit conversions.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set, using a conversion factor. This is essential when comparing or combining measurements that use different systems, such as converting speeds from miles per hour to kilometers per hour.

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