Chapter 1.4, Problem 33LC

a)

Interpretation Introduction

Interpretation : The known and unknown in the conversion problem are to be identified.

Concept Introduction : The ability to solve a problem is a skill that is employed all the time. Development of a plan and implementation of the plan are the two general steps in successful problem-solving.

Answer to Problem 33LC

The known information is there are 3600 seconds in an hour.

The unknown information is how many seconds are there in one day.

Explanation of Solution

The ability to solve a problem is a skill that is employed all the time. Development of a plan and implementation of the plan are the two general steps in successful problem-solving.

First, establish the starting point (what is known) and the destination (what is unknown) in order to solve a word problem.

The known information is there are 3600 seconds in an hour.

The unknown information is how many seconds are there in one day.

b)

Interpretation Introduction

Interpretation : The relationship between known and unknown in the conversion problem are to be identified.

Concept Introduction : The ability to solve a problem is a skill that is employed all the time. Development of a plan and implementation of the plan are the two general steps in successful problem-solving.

Answer to Problem 33LC

The relationship between known and unknown is there are 24 hours in a day.

Explanation of Solution

The ability to solve a problem is a skill that is employed all the time. Development of a plan and implementation of the plan are the two general steps in successful problem-solving.

First, establish the starting point (what is known) and the destination (what is unknown) to solve a word problem.

The known data is there are 3600 seconds in one hour. The unknown is how many seconds are there in one day.

There are 24 hours in a day, which represents the relationship between known and unknown. The known can be changed into the unknown with this data.

Using this relationship, seconds in one hour are converted to seconds in one day.

c)

Interpretation Introduction

Interpretation : The answer to the problem is to be calculated.

Concept Introduction : The ability to solve a problem is a skill that is employed all the time. Development of a plan and implementation of the plan are the two general steps in successful problem-solving.

Answer to Problem 33LC

There are $86400\text{sec}$ in a day.

Explanation of Solution

The ability to solve a problem is a skill that is employed all the time. Development of a plan and implementation of the plan are the two general steps in successful problem-solving.

First, establish the starting point (what is known) and the destination (what is unknown) in order to solve a word problem.

The known information is there are 3600 seconds in an hour.

The unknown information is how many seconds are there in one day.

To calculate the seconds in one day, follow the steps given below:

  $\begin{array}{c}1\text{day}=\frac{24\cancel{\text{hr}}}{1\text{day}}\times \frac{3600\text{sec}}{1\cancel{\text{hr}}}\\ =86400\text{sec/day}\end{array}$

There are $86400\text{sec}$ in a day.

d)

Interpretation Introduction

Interpretation : The answer to the problem is to be evaluated.

Concept Introduction : The ability to solve a problem is a skill that is employed all the time. Development of a plan and implementation of the plan are the two general steps in successful problem-solving.

Answer to Problem 33LC

The calculated answer is correct. It makes sense that if an hour contains 3600 seconds, then a day can contain 86400 seconds. The answer has correct units and the relationship used is also correct.

Explanation of Solution

The ability to solve a problem is a skill that is employed all the time. Development of a plan and implementation of the plan are the two general steps in successful problem-solving.

First, establish the starting point (what is known) and the destination (what is unknown) in order to solve a word problem.

The known information is there are 3600 seconds in an hour.

The unknown information is how many seconds are there in one day.

To calculate the seconds in one day, follow the steps given below:

  $\begin{array}{c}1\text{day}=\frac{24\cancel{\text{hr}}}{1\text{day}}\times \frac{3600\text{sec}}{1\cancel{\text{hr}}}\\ =86400\text{sec/day}\end{array}$

There are $86400\text{sec}$ in a day.

The calculated answer is correct. It makes sense that if an hour contains 3600 seconds, then a day can contain 86400 seconds. The answer has correct units and the relationship used is also correct.