Questions, with answers, on how to convert from one unit of velocity (speed) to another. For the lengths, both metric and imperial units are used.

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.
## Question 1Convert 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 2Convert 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) = 3.30988 × 10 ^{4} cm / mn
## Question 3If 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 4The 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 5Convert 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. |