Chapter 5.4, Problem 46HP

To determine

To find:The two different measurements equivalent to measurement in centimeters per second.

Answer to Problem 46HP

The two different measurements equivalent to 10 centimeters per second are 600 centimeters per minuteand360 meters per hour.

Explanation of Solution

Given information:

Themeasurement in centimeters per second is 10 centimeters per second.

Calculation:

The conversion of centimeters per second into centimeters per minute is:

  $1\frac{\text{cm}}{\text{s}}=\frac{60}{1}\frac{\text{cm}}{\min }$

To find the conversion of 10 centimeters per second,multiply both sides of above conversion by 10.

  $\begin{array}{c}\left(10\times 1\right)\frac{\text{cm}}{\text{s}}=10\times \frac{60}{1}\text{}\frac{\text{cm}}{\min }\\ =\frac{600}{1}\text{}\frac{\text{cm}}{\min }\end{array}$

Therefore, the conversion of 10 centimeters per second into centimeters per minute is 600 centimeters per minute.

The conversion of centimeters per second into centimeters per hour is:

  $1\frac{\text{cm}}{\text{s}}=\frac{3600}{1}\text{}\frac{\text{cm}}{\text{h}}$

To find the conversion of $10\text{centimeters}\text{per}\text{second}$ , multiply both sides of above conversion by $10$ .

  $\begin{array}{c}10\times 1\frac{\text{cm}}{\text{s}}=10\times \frac{3600}{1}\text{}\frac{\text{cm}}{\text{h}}\\ =\frac{36000}{1}\text{}\text{}\frac{\text{cm}}{\text{h}}\end{array}$

The conversion of centimeters per hour into meters per hour is:

  $1\frac{\text{cm}}{\text{h}}=\frac{1}{100}\text{}\frac{\text{m}}{\text{h}}$

To find the conversion of $\frac{36000}{1}\text{}\text{}\frac{\text{cm}}{\text{h}}$ , multiply both sides of above conversion by $36000$ .

  $\begin{array}{c}36000\times 1\frac{\text{cm}}{\text{h}}=36000\times \frac{1}{100}\text{}\frac{\text{m}}{\text{h}}\\ =\frac{36000}{100}\text{}\text{}\text{}\frac{\text{m}}{\text{h}}\\ =\frac{360}{1}\text{}\frac{\text{m}}{\text{h}}\end{array}$

Therefore, the conversion of $10\text{centimeters}\text{per}\text{second}$ into meters per hour is $360\text{meters}\text{per}\text{hour}$ .

Therefore, from the above conclusions the two different measurements equivalent to $10\text{centimeters}\text{per}\text{second}$ are $600\text{centimeters}\text{per}\text{minute}$ and $360\text{meters}\text{per}\text{hour}$