Question

while traveling abroad, you are driving your rental car when you notice the speed limit is 70 km/h (kilometers per hour). you are more familiar with mph, and you want to convert to see how the speed limit compares to home. what is one strategy you can use for the conversion? dimensional analysis multiply by 9/5 move the decimal nothing. 70 km/h equals 70 mph

Explanation:

Dimensional analysis is a method used to convert units. It involves using conversion factors (ratios of equivalent values in different units) to cancel out the unwanted units and obtain the desired units. For converting km/h to mph, the conversion factor is \(1\) km \( = 0.621371\) miles. So, to convert \(70\) km/h to mph, we use dimensional analysis: \(70\frac{\text{km}}{\text{h}}\times\frac{0.621371\text{ miles}}{1\text{ km}}\). Multiplying by \(9/5\) is for converting Celsius to Fahrenheit (not relevant here). Moving the decimal is an incorrect oversimplification. And \(70\) km/h is not equal to \(70\) mph as the units (kilometer and mile) are different.

Answer:

Dimensional analysis