Solveeit Logo

Question

Question: What is 75 miles per hour in kilometres per second?...

What is 75 miles per hour in kilometres per second?

Explanation

Solution

The question is based on the concept of the unit conversion method. There are 3 other unit systems other than SI units. 1 mile equals 1.60934 km and 1 hour equals 3600 seconds. So, using this value we will convert miles per hour into km per seconds.

Complete answer:
From the given information, we have the data as follows.
The given data represents either speed or velocity. We are asked to convert the unit from miles per hour to km per second.
This data represents 2 parameters, that is, the distance and the time taken. The distance is given in terms of the miles and we are asked to convert it into km. The time taken is given in terms of hours and we are asked to convert it into seconds.
Firstly we will perform the unit conversion from miles to km. so, we have,
1 mile equals 1.60934 km.
Thus we can write as 1 mile per hour equals 1.60934 km per hour.
Now we will perform the unit conversion from hour to second. so, we have,
1 hour equals 3600 seconds.
Thus we can write as 1 mile per hour equals 4.470×1044.470\times {{10}^{-4}}km per sec.
We are asked to convert 75 miles per hour into km per second, so, we have to multiply both the sides by 75, thus, we get,

& 75\times 1{mi}/{hr}\;=75\times 4.470\times {{10}^{-4}}\,{km}/{\sec }\; \\\ & \therefore 75{mi}/{hr}\;=0.033528\,{km}/{\sec }\; \\\ \end{aligned}$$ $$\therefore $$ The conversion of 75 miles per hour into km per hour equals 0.033528 km per sec. **Additional information:** There are a total of 4 unit systems, they are: SI units, MKS system, FPS system and CGS system of units. System | Length | Mass | Time ---|---|---|--- SI unit| meter| kilogram| second MKS system| meter| kilogram| second CGS system| centimetre| gram| second FPS system| foot| pound | second **Note:** Every time, we won’t be asked to convert the units to SI units, for example, in this question, we are asked to convert the unit into km per second, the unit of distance is not an SI unit, whereas, the unit of the time is in SI unit.