How can you use a formula for one measurement to write a formula for a different measurement?

Answer 1

If the two relationships measure the same characteristic but use different units, there will be a conversion factor.

For example, to convert speed measured in miles per hour to kilometres per hour you need to multiply the mph by the miles-to-kilometres factor of 1.609344 (to however many decimal points as is appropriate).

In this case, there was only one variable (distance) that needed converting, but you can combine them.

For example

Miles per hour to feet per second:

1 mile = 5280 feet

1 hour = 3600 seconds.

So x miles/hour = x*5280 ft/hour = x*5280/3600 ft per second.

If the two relationships measure the same characteristic but use different units, there will be a conversion factor.

For example, to convert speed measured in miles per hour to kilometres per hour you need to multiply the mph by the miles-to-kilometres factor of 1.609344 (to however many decimal points as is appropriate).

In this case, there was only one variable (distance) that needed converting, but you can combine them.

For example

Miles per hour to feet per second:

1 mile = 5280 feet

1 hour = 3600 seconds.

So x miles/hour = x*5280 ft/hour = x*5280/3600 ft per second.

If the two relationships measure the same characteristic but use different units, there will be a conversion factor.

For example, to convert speed measured in miles per hour to kilometres per hour you need to multiply the mph by the miles-to-kilometres factor of 1.609344 (to however many decimal points as is appropriate).

In this case, there was only one variable (distance) that needed converting, but you can combine them.

For example

Miles per hour to feet per second:

1 mile = 5280 feet

1 hour = 3600 seconds.

So x miles/hour = x*5280 ft/hour = x*5280/3600 ft per second.

If the two relationships measure the same characteristic but use different units, there will be a conversion factor.

For example, to convert speed measured in miles per hour to kilometres per hour you need to multiply the mph by the miles-to-kilometres factor of 1.609344 (to however many decimal points as is appropriate).

In this case, there was only one variable (distance) that needed converting, but you can combine them.

For example

Miles per hour to feet per second:

1 mile = 5280 feet

1 hour = 3600 seconds.

So x miles/hour = x*5280 ft/hour = x*5280/3600 ft per second.

Answer 2

If the two relationships measure the same characteristic but use different units, there will be a conversion factor.

For example, to convert speed measured in miles per hour to kilometres per hour you need to multiply the mph by the miles-to-kilometres factor of 1.609344 (to however many decimal points as is appropriate).

In this case, there was only one variable (distance) that needed converting, but you can combine them.

For example

Miles per hour to feet per second:

1 mile = 5280 feet

1 hour = 3600 seconds.

So x miles/hour = x*5280 ft/hour = x*5280/3600 ft per second.