Question

How do you convert 2.7 meters per second to feet per minute?

Answer 1

Hint:The above question is based on the concept of dimension analysis. Dimension analysis gives the relationship between different physical quantities by identifying its base quantities and measure of units. To convert from meter to feet there we have to use a
conversion factor.

Complete step by step solution:

Dimension analysis is also called a Unit Factor Method or Factor label method since it uses conversion factors to get the units.

Meter unit is generally used for calculating the length of the path travelled and one foot is unit length is equal to 12 inches. We have to calculate 2.7 meters per second will give how much feet per minute.

In the above question, we have been given two units of length that is meter and feet.

One meter is almost equal to 3.2808399 feet.
\[1m = 3.2808399\]feet

Further we need to calculate the feet with 2.7m, so we need to multiply 2.7 in the above equation.
\[2.7m = 2.7 \times 3.2808399 = \;8.85826772\]

So, by multiplying we get 8.85826772 feet

We have to calculate it meters per second to minute. So, we know that in a second one can
travel 8.85826772 feet so we have to find how much to travel in a minute.

Let’s assume the speed to be constant. Then since the distance travelled in a minute will be 60 times distance travelled in seconds
\[60 \times 8.85826772 = 531.496032\]

Therefore, this is the final solution.

Note: An important thing to note is that the distance travelled in seconds is multiplied by 60, this is because 1 minute=60 seconds so that is why distance travelled in seconds is multiplied by
60 which is equal to a minute.