I am having trouble with the concept of unit conversions for math C30. I am in cyber school and it does not seem to be explaining it as much as I would like.

Here is the question:
Change 25 kilometers per hour into feet per second.

Can you please explain how you are finding the units to convert into.

Thanks!

Using this site, I found --

25 km = 82020.997 feet

http://www.metric-conversions.org/length/kilometers-to-feet.htm

1 hour = 60 * 60 = 3600 seconds

Divide: 82020.997 / 3600 = 22.7836103 feet per second.

http://www.google.com/search?hl=en&biw=711&bih=453&noj=1&output=search&sclient=psy-ab&q=82020.997+%2F+3600&oq=82020.997+%2F+3600&aq=f&aqi=h1&aql=1&gs_l=hp.3..19.3973.3973.0.9141.1.1.0.0.0.0.71.71.1.1.0.cqn%2Ccconf%3D0-95%2Cmin_length%3D2%2Crate_low%3D0-015%2Crate_high%3D0-015.1.0.0.BYtgXoFWRzY

Sure! Unit conversions involve converting a quantity from one unit of measurement to another unit of measurement. In this case, you are trying to convert from kilometers per hour (km/h) to feet per second (ft/s).

To do this conversion, we need to first identify the conversion factors that relate kilometers to feet and hours to seconds. Here are the conversion factors we will use:

1 kilometer = 3280.84 feet
1 hour = 3600 seconds

Now, let's break the problem down into smaller steps:

Step 1: Convert kilometers to feet
To convert kilometers to feet, we can use the conversion factor 1 kilometer = 3280.84 feet. Multiply the given value (25 km) by the conversion factor:

25 km * 3280.84 feet/kilometer = 82,021 feet

So, 25 kilometers is equal to 82,021 feet.

Step 2: Convert hours to seconds
To convert hours to seconds, we can use the conversion factor 1 hour = 3600 seconds. Multiply the given value (1 hour) by the conversion factor:

1 hour * 3600 seconds/hour = 3600 seconds

So, 1 hour is equal to 3600 seconds.

Step 3: Combine the converted values
Now that we have the converted values, we can divide the number of feet by the number of seconds to get the final answer:

82,021 feet / 3600 seconds = 22.783 ft/s (rounded to three decimal places)

Therefore, 25 kilometers per hour is approximately equal to 22.783 feet per second.