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We appreciate your visit to Using dimensional equations perform the following conversions a Convert 3 weeks to milliseconds b Convert 38 1 ft s to miles h c Convert 554. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Using dimensional equations, perform the following conversions:

(a) Convert 3 weeks to milliseconds.
(b) Convert 38.1 ft/s to miles/h.
(c) Convert 554 m/(day-kg) to cm²/(min-g).

Answer :

Final answer:

Dimensional analysis is used to convert 3 weeks to milliseconds, 38.1 ft/s to miles/h, and 554 m/(day-kg) to cm^2/(min g). For example, to convert 3 weeks to milliseconds, it is done in steps using conversions of weeks to days, days to hours, hours to minutes, minutes to seconds, and seconds to milliseconds.

Explanation:

To convert the given measurements, we will use the dimensional analysis method. This method involves using conversion factors which are equations that relate two different units. A conversion factor allows us to convert from one unit to another.

To convert 3 weeks to milliseconds:
(a) We start by writing down the value we want to convert, then multiply by a conversion factor in which the unit we start with (in this case, weeks) is in the denominator, and the unit we want to get to (milliseconds) is in the numerator.

  • 1 week = 7 days
  • 1 day = 24 hours
  • 1 hour = 60 minutes
  • 1 minute = 60 seconds
  • 1 second = 1,000 milliseconds

The conversion becomes: 3 wk * (7 day / 1 wk) * (24 hr / 1 day) * (60 min / 1 hr) * (60 sec / 1 min) * (1,000 ms / 1 sec) = 1,814,400,000 ms.

The other conversions follow similar steps. Remember to always check that the units cancel out correctly.

Learn more about Dimensional Analysis here:

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