Can anyone show me step by step how to solve this problem? 26cm/s = m/min convert this problem using dimensional analysis.What is the answer and how did you get it?Thanks,kj
100 cm = 1 m
26 cm = 0.26 m
60 seconds = 1 min
I'm sure you can take it from here.
I did this twice below using dimensional analysis as requested.
http://www.jiskha.com/display.cgi?id=1293912896
To convert 26 cm/s to m/min using dimensional analysis, we need to set up a conversion factor that allows us to cancel out the units we don't want and keep the units we want.
Here's how we can do it step by step:
Step 1: Identify the conversion factor.
We need a conversion factor that relates centimeters (cm) to meters (m) and seconds (s) to minutes (min). The conversion factors we need are:
- 100 cm = 1 m (to convert cm to m)
- 60 s = 1 min (to convert s to min)
Step 2: Set up the conversion.
We start with 26 cm/s and use the conversion factors mentioned above as ratios to set up the conversion equation. We want to cancel out cm and s and keep m and min.
(26 cm/s) x (1 m/100 cm) x (1 min/60 s)
Step 3: Perform the calculation.
We multiply the numbers across the top and the numbers across the bottom to get the result.
(26 x 1)/(100 x 60) m/min = 0.0433 m/min
So, the answer is 0.0433 m/min.
To summarize, we converted 26 cm/s to m/min by setting up a conversion factor using dimensional analysis and then performing the calculation. By canceling out the unwanted units and keeping the desired units, we arrived at the correct conversion.