Chapter 1, Problem 20P

(a)

To determine

The conversion factor between km/h and mi/h.

Answer to Problem 20P

The conversion factor is $\text{1}\text{km}/\text{h}\text{=}\text{0}\text{.625}\text{mi}/\text{h}$

Explanation of Solution

Given:

The given unit are, km/h and mi/h

Formula used:

1 mile = 1.6 km

Calculation:

Since 1 mile = 1.6 km

So,

  $\begin{array}{l}1\text{mi/h}=1.6\text{km/h}\\ 1\text{km/h}=\text{0}\text{.625}\text{mi/h}\end{array}$

Conclusion:

Thus, the conversion factor is $\text{1}\text{km}/\text{h}\text{=}\text{0}\text{.625}\text{mi}/\text{h}$

(b)

To determine

The conversion factor between m/s and ft/s.

Answer to Problem 20P

The conversion factor is $\text{1}\text{m}/\text{s}\text{=3}\text{.28}\text{ft}/\text{s}$

Explanation of Solution

Given:

The units are ft/s and m/s

Formula used:

1 ft = 0.3048 m

Calculation:

Since 1 ft = 0.3048 m

So,

  $\begin{array}{l}1\text{ft/s}=0.3048\text{m/s}\\ \text{1}\text{m}/\text{s}\text{=3}\text{.28}\text{ft}/\text{s}\end{array}$

Conclusion:

Thus, the conversion factor is $\text{1}\text{m}/\text{s}\text{=3}\text{.28}\text{ft}/\text{s}$

(c)

To determine

The conversion factor between km/hr and m/s.

Answer to Problem 20P

The conversion factor is $1\text{km}/\text{hr}=0.278\text{m}/\text{s}$

Explanation of Solution

Given:

The units are km/hr and m/s

Formula used:

1 km = 1000 m

1 hr = 3600 s

Calculation:

Since 1 km = 1000 m and 1 hr = 3600 s

So,

  $\begin{array}{c}1\text{km/hr}=\frac{1000}{3600}\text{m/s}\\ 1\text{km/hr}=\frac{5}{18}\text{m/s}\\ =0.278\text{m/s}\end{array}$

Conclusion:

Thus, the conversion factor is

  $1\text{km}/\text{hr}=0.278\text{m}/\text{s}$