The conversion factor relating miles to meters is 1mile=1610m. The speed of light is 3.00*108 m/s. How fast is this in miles per hour (miles/h) ?

Converting from one units to another set of units, a conversion factor is needed. For this problem, the conversion factor would be 1 mile = 1610 m. We convert the value of speed of light from meters/second to miles/hour as follows:

3 x 10^8 m/s (1 mile / 1610 m) (60 s / 1 min) (60 min / 1 hr) = 6.71 x 10^8 miles / hr

Speed of light

3 * 10^8 m/s

3*10^8 * (m/1610) miles * (s/3600) h

51.76 miles/h