Chapter 6.1, Problem 46E

a.

To determine

To find the rate of movement of Los Angeles per year in meters.

Answer to Problem 46E

The rate of movement of Los Angeles per year in meters is $0.046\text{ meters per year}$ .

Explanation of Solution

Given information:

Speed of movement of Los Angeles is $\text{46 millimeter per year}$ .

Calculation :

Consider the given data, speed of movement of Los Angeles is $\text{46 millimeter per year}$ .

  $\begin{array}{l}\text{1 millimeter = }\frac{1}{1000}\text{ m}\\ \text{46 millimeter = 46}\times \frac{1}{1000}\text{ m = 0}\text{.046 m}\end{array}$

Rate of speed of movement can be calculated as

  $\frac{0.046\text{ meter}}{1\text{ year}}=0.046\text{ meters per year}$

Therefore,

The rate of movement of Los Angeles per year in meters is $0.046\text{ meters per year}$ .

b.

To determine

To find the rate of movement of Los Angeles per century in meters.

Answer to Problem 46E

The rate of movement of Los Angeles per century in meters is $4.6\text{ meters per century}$ .

Explanation of Solution

Given information:

Speed of movement of Los Angeles is $\text{46 millimeter per year}$ .

Calculation :

The rate of movement of Los Angeles per year in meters is $0.046\text{ meters per year}$ .

The rate of movement of Los Angeles per century in meters can be calculated as,

  $\text{1 century = 100 years}$

The Rate of speed of movement,

  $\frac{0.046\text{ meters}}{100\text{ years}}=4.6\text{ meters per century}$

Therefore,

The rate of movement of Los Angeles per century in meters is $4.6\text{ meters per century}$ .

c.

To determine

To find the number of years required for Los Angeles to cover $554000\text{ meters}$ .

Answer to Problem 46E

The number of years required for Los Angeles to cover $554000\text{ meters}$ is $12043478.26\text{ years}$ .

Explanation of Solution

Given information:

Speed of movement of Los Angeles is $\text{46 millimeter per year}$ .

Calculation :

The rate of movement of Los Angeles per year in meters is $0.046\text{ meters per year}$ .

The number of years required for Los Angeles to cover $554000\text{ meters}$ can be calculated as,

Time = $\frac{\text{Distance}}{\text{Speed}}=\frac{554000}{0.046}=12043478.26$

Therefore,

The number of years required for Los Angeles to cover $554000\text{ meters}$ is $12043478.26\text{ years}$ .