Question

Express a speed of `36` `cm"/"sec` in miles per hour?

Answer 1

`36` `cm"/"sec` is `0.8053` `mph`

Explanation:

`36` `cm"/"sec` means dimensions of unit are `LT^(-1)`, where `L` represents length and `T` represents time. Let us write it as `L_1` and `T_1`.

In `mph` we have unit of length as mile and unit of time as hour. Let us write it as `L_2` and `T_2`.

It is apparent that as one mile is `1760xx36=63360` inches or `63360xx2.54=160934.4` cm. and one hour is `3600` seconds.

Hence one `mph` is `160934.4/3600=44.704` `cm"/"sec`

and `36` `cm"/"sec` is `36/44.704~=0.8053` `mph`