Chapter 0, Problem 0.93CHP

(a)

Interpretation Introduction

Interpretation:

The number of feet and number of meters in a nautical mile has to be calculated.

Concept introduction:

Nautical mile:

One nautical mile is defined as the one minute of arc along an earth meridian or $\text{1/21600}$ of the earth’s circumference through the poles.

Conversion factors:

One kilometre is equal to $\text{1000}$ meters

One nautical mile is equal to $\text{1}\text{.855}$ kilometre

One kilometre is equal to $\text{3280}\text{.84}$ feet

(b)

Interpretation Introduction

Interpretation:

The swimming speed of northern Bluefin tuna in knots has to be calculated.

Concept introduction:

Knot:

One knot per hour is the speed of the ship through the water.

Historically, the unit of knot derived from the practice of measuring a ships speed by throwing a log tied to a knotted line over the side.

Conversion of units:

One nautical mile is equal to $\text{1}\text{.15078}\text{miles}$

Cross multiplication rule:

In science, this is rule is used to find the unknown value when the $\text{3}$ other values are given. This rule is also known as the rule of three.

$\begin{array}{l}\text{ad = bc}(\text{or)}\text{a =}\frac{\text{bc}}{\text{d}}\\ \text{where}\text{b,d}\text{are}\text{not}\text{zero}\end{array}$

(c)

Interpretation Introduction

Interpretation:

The number of leagues deep the marina trench has to be calculated.

Concept introduction:

League:

One league is defined as 3 nautical miles.

The Mariana trench is the deepest point in the ocean. The depth of the Mariana trench is $\text{35,798}\text{feet}$

Conversion of units:

One nautical mile is equal to $\text{6087}\text{.02}\text{feet}$

Cross multiplication rule:

In science, this is rule is used to find the unknown value when the $\text{3}$ other values are given. This rule is also known as the rule of three.

$\begin{array}{l}\text{ad = bc}(\text{or)}\text{a = }\frac{\text{bc}}{\text{d}}\\ \text{Where}\text{b, d}\text{are}\text{not}\text{zero}\text{.}\end{array}$

(d)

Interpretation Introduction

Interpretation:

The percentage difference of nautical mile from the original definition of nautical mile and statue mile has to be calculated.

Concept introduction:

Nautical mile:

One nautical mile is defined as the one minute of arc along an earth meridian or $\text{1/21600}$ of the earth’s circumference through the poles.

Conversion factors:

One kilometre is equal to $\text{1000}$ meters

One nautical mile is equal to $\text{1}\text{.855}$ kilometre

One kilometre is equal to $\text{3280}\text{.84}$ feet

Cross multiplication rule:

In science, this is rule is used to find the unknown value when the $\text{3}$ other values are given. This rule is also known as the rule of three.

$\begin{array}{l}\text{ad = bc}(\text{or)}\text{a = }\frac{\text{bc}}{\text{d}}\\ \text{where}\text{b, d}\text{are}\text{not}\text{zeros}\end{array}$