Convert Units of Velocity

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)

= 3.30988·10⁴ 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*10⁸ 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*10⁸ m / sec = 0.001 * 3*10⁸ / (1 / 3600)

= 1.08 * 10⁹ 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