Lesson Units conversion examples

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Units conversion examples


Problem 1. Acceleration

Gravity acceleration at the Earth surface is  9.81 m%2Fs%5E2.
How much is this in  ft%2Fs%5E2 ?    In  in%2Fs%5E2 ?

Solution

1 ft = 0.3048 m  (see, for example, the units converter under this topic,  or any appropriate handbook,  textbook,  or the Internet web-site).

So,  1 m = 1/0.3048 ft = 3.2808 ft = 12*3.2808 in = 39.37 in.

Therefore,  9.81 m%2Fs%5E2 = 9.81 * 3.2808 ft%2Fs%5E2 = 32.19 ft%2Fs%5E2.

Further,  because  1 ft = 12 in,  we have
9.81 m%2Fs%5E2 = 32.19 ft%2Fs%5E2 = 32.19 *12 in%2Fs%5E2 = 386.2 in%2Fs%5E2.

Answer.  Gravity acceleration at the Earth surface is  9.81 m%2Fs%5E2,  or  32.19 ft%2Fs%5E2,  or  386.2 in%2Fs%5E2.

Problem 2. Speed

Car  A  makes  100 miles per hour,  car  B  makes  120 kilometers per hour.
Which car is moving with larger speed?

Solution

To compare speed of these two cars,  let's convert the speed of car  A  to  km%2Fh.
1 mile = 1609 m = 1.609 km  (see, for example,  the unit converter under this topic).

So,  the car's  A  speed is  100 miles%2Fh = 100*1.609 km%2Fh = 160.9 km%2Fh.

Answer.  Car  A  is moving faster than car  B.

To your fortune,  this site contains very convenient  calculator for converting major units of speed.

Problem 3. Flow rate


The water supply well produces  18 gallons of water per minute from the subsurface aquifer.
How much is the flow rate in cubic meters per hour?

Solution

1 gallon(US Liquid) is equal to  0.003785 m%5E3  (or 3.785 liters).
Hence,  18 gallons/min = 18*0.003785 m%5E3%2Fmin = 18*0.003785*60 m%5E3%2Fh = 4.0878 m%5E3%2Fh.

Answer.  The flow rate is  4.0878 m%5E3%2Fh.

Problem 4. Temperature

The  Death Valley  in the Eastern California is the hottest place in the Western hemisphere with the highest measured temperature record of  134 °F (degree of Fahrenheit).
The world record is  57.8 °C (degree of Celsius) in  Al 'Aziziyah, Libya.
Compare these two temperature records.

Solution

To compare these two temperature records,  let's express  134 °F  to Celsius using the conversion formula from Fahrenheit to Celsius
T%5BC%5D=%28T%5BF%5D-32%29%2A5%2F9.
Substituting  T%5BF%5D=134 °F  to this formula,  we have for temperature of  Death Valley
T=%28134-32%29%2A5%2F9=+56.67 °C.
So,  the highest temperature in the  Death Valley  is  56.67 °C  against  57.8 °C  in  Al 'Aziziyah, Libya.

To your fortune,  this site contains very convenient  calculator for converting temperature.


My other lessons on units conversion in this site are
    - Converting feet to meters, inches to centimeters, miles to kilometers and vice versa
    - Converting speed units: miles per hour to kilometers per hour and vice versa
    - Converting measures of volume: cubic feet and cubic meters
    - Converting liquid volume measures: liters, gallons, and barrels

To navigate over the lessons on units conversion use the file  OVERVIEW of lessons on Units conversion.

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