10 Points!!! Extremely Difficult Unit Conversion challenge?

Question

This is a really hard unit conversion problem, I just wanted to know if anybody knew how to do it. Your help is greatly appreciated!

Suppose 1 dip = 6 dops, 1 dop = 8 daps, 1 tick = 13 tocks, and 1 tock = 10 tacks.

Convert 21.1 dips/tack^2 into dops/tock^2.

By the way ^2 is squared.

Answer 1

[21.1 dips/tacks^2] * [10 tacks / 1 tock] = 211 dips / (tack * tock)



[211 dips / (tack * tock)] * [10 tacks / 1 tock] = 2110 dips / tocks^2



[2110 dips / tocks^2] * [6 dops / 1 dip] = 12660 dops / tocks^2

Answer 2

21.1 dips * (6 dops/1 dip)=126.6 dops

1 tack^2 * (1 tock/10 tacks)^2=(1/100) tock^2

126.6dops/(1/100)tock^2 = 12660 dops/tock



The key to unit conversion is to remember when you have an equation a=b for units a and b, to convert from a to b, use the conversion factor (b/a). Likewise to convert from b to a, use the conversion factor (a/b)

Answer 3

Conversion Challenge Answers

Answer 4

21.1 dips/tack^2 *6dops/dip= 126.6 dops/tack^2



126.6 dops/tack^2 * 100 tack^2/tock^2= 12660 dops/tock^2



If you replace dops and dips and what not with real units it makes it easier to think about :)

Answer 5

= 12660dops/tock^2



21.1dip/tack^2 * (6dop/1dip) * (10tack^2/1tock^2)

cancel some units and you get the above answer :)