Chapter 7.5, Problem 46SR

To determine

Convert $\text{26 cm/s}=\_\_\_m\text{/min}$ as decimal.

Answer to Problem 46SR

  $\text{26 cm/s}=\underset{\_}{15.6}m\text{/min}$

Explanation of Solution

Given:

  $\text{26 cm/s}$

Concept Used:

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

And

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

Calculation:

For $\text{26 cm/s}$

Since, $1\text{ cm = }\frac{1}{100}\text{ m}$ and $1\text{ s = }\frac{1}{60}\text{ min}$

Converting

  $\begin{array}{c}\frac{\text{26 cm}}{\text{1 s}}=\left(\frac{\text{26 cm}}{\text{1 s}}\right)\left(\frac{\text{1 m}}{\text{100 cm}}\right)\left(\frac{\text{60 s}}{\text{1 min}}\right)\\ =\left(\frac{\text{26}}{\text{1}}\right)\left(\frac{\text{1 m}}{\text{100}}\right)\left(\frac{\text{60}}{\text{1 min}}\right)\\ =\left(\frac{13}{\text{1}}\right)\left(\frac{\text{1 m}}{5}\right)\left(\frac{\text{6}}{\text{1 min}}\right)\\ =\frac{\text{78 m}}{5\text{ min}}\\ \text{=15}\text{.6 m/min}\end{array}$

Therefore, $\text{26 cm/s}=\underset{\_}{15.6}m\text{/min}$

Conclusion:

  $\text{26 cm/s}=\underset{\_}{15.6}m\text{/min}$