What is the sequence of conversion factors for units if you change from ft/sec. to km/hour?
Is it ft/sec x sec/min x min/hour x ft/m x km/m?
No, you have an upside-down fraction
ft/sec x sec/min = ft/min
ft/min x min/hr = ft/hr
ft/hr x m/ft = m/hr <<<----
m/hr x km/m = km/hr
1 in = 25.4 mm = 2.54 cm = 0.0254 m
1ft = 12 in
1ft = 12 * 0.0254
1 ft = 0.3048 m
1 km = 1000 m
1 ft = 0.3048 / 1000 = 0.0003048 km
1 h = 3600 s
1 s = 1 / 3600 h
1 ft / s= 0.0003048 / ( 1 / 3600 )
1 ft / s= 0.0003048 * 3600
1 ft / s = 1.09728 km / h
To convert from ft/sec to km/hour, you need to multiply by the appropriate conversion factors. Here's the correct sequence of conversion factors:
1. Start by multiplying by the conversion factor for seconds to minutes. Since there are 60 seconds in a minute, the conversion factor is 1 min/60 sec.
- This cancels out the seconds in ft/sec.
2. Next, multiply by the conversion factor for minutes to hours. Since there are 60 minutes in an hour, the conversion factor is 1 hour/60 min.
- This cancels out the minutes in ft/min.
3. Then, multiply by the conversion factor for feet to meters. Since there are 0.3048 meters in a foot, the conversion factor is 0.3048 m/1 ft.
- This converts the distance from feet to meters.
4. Finally, multiply by the conversion factor for meters to kilometers. Since there are 1000 meters in a kilometer, the conversion factor is 1 km/1000 m.
- This converts the distance from meters to kilometers.
So, the correct sequence of conversion factors is: sec/min x min/hour x ft/m x km/m.
To convert ft/sec to km/hour using these conversion factors, you would multiply the given value in ft/sec by the conversion factors in the stated sequence.