Both time and length conversions are needed in order to convert velocity or speed units. The time conversion is shown below and the
length conversion is in a table in this site.
Time Conversion.
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 3600 seconds
1 minute = 1/60 hours
1 second = 1/3600 hours
1 second = 1/60 minutes
1 millisecond (ms) = 1/1000 seconds = 10^{-3} seconds
1 microsecond = 1/1000000 seconds = 10^{-6} seconds
1 nanosecond = 1/1000000000 seconds = 10^{-9} seconds
Question 1:
Convert 1 km / hr into inches / second.
Solution:
We first use the
table of conversion of lengths to convert 1 km into inches
1 km = 39370.07 inches.
We next convert hours into seconds: 1 hour = 3600 seconds and we write
1 km/hr = 39370.07 inches / 3600 sec
= 10.9361 inches / sec
Question 2:
Convert 12.34 miles / hour into centimeters / minute.
Solution:
The
table of conversion of lengths gives 1 mile = 160934.4 cm. Also 1 hour = 60 minutes. Hence
12.34 miles / hour = 12.34 * (160934.4 cm) / (60 mn)
= 3.30988Â·10^{4} cm / mn
Question 3:
If someone is driving at 60 miles / hour, what is it in meters / second?
Solution:
The
table of conversion of lengthsgives 1 mile = 1609.344 meters. Also 1 hour = 3600 seconds. Hence
60 miles / hour = 60 * 1609.344 m / 3600 sec
= 26.8223 m / sec
Question 4:
The speed of light is approximately 3*10^{8} m / sec. What is the speed of light in km / hour?
Solution:
1 m = 0.001 km and 1 second = 1 / 3600 hour. Hence
3*10^{8} m / sec = 0.001 * 3*10^{8} / (1 / 3600)
= 1.08 * 10^{9} km/hour
Question 5:
Convert 235 feet / seconds into meters / minute.
Solution:
1 foot = 0.3048 m and 1 second = (1/60) minutes. Hence
235 feet / seconds = 235 * 0.3048 / (1/60)
= 4297.68 meters / minute
More math problems with detailed solutions in this site.