Final answer:
To convert 73.89 in/s to m/min using dimensional analysis, multiply 73.89 by the appropriate conversion factors (0.0254 m/1 in and 1 min/60 s) and simplify the units. The result is 0.053 m/min.
Step-by-step explanation:
To convert from inches per second (in/s) to meters per minute (m/min) using dimensional analysis:
Step 1: Identify the conversion factors:
- 1 inch = 0.0254 meters (exact conversion)
- 1 minute = 60 seconds (exact conversion)
Step 2: Set up the conversion using the conversion factors:
- 73.89 in/s x (0.0254 m/1 in) x (1 min/60 s)
Step 3: Cancel out the units:
- inches cancel out, leaving meters
- seconds cancel out, leaving minutes
Step 4: Perform the calculation:
- 73.89 x 0.0254 x 1 / 1 / 60 = 0.053 m/min
So, the conversion of 73.89 in/s to m/min is 0.053 m/min.