Fathoms to Nautical Miles conversion

How to convert fathoms to nautical miles?

Sure, let’s first address the conversion from fathoms to nautical miles.

Conversion from Fathoms to Nautical Miles

A fathom is a unit of length equal to 6 feet. A nautical mile, on the other hand, is defined as exactly 1,852 meters. To convert fathoms to nautical miles, follow these steps:

1. Convert fathoms to feet: 1 fathom = 6 feet

2. Convert feet to meters: 1 foot = 0.3048 meters

3. Convert meters to nautical miles: 1 nautical mile = 1,852 meters

Combining these conversion factors, we can convert from fathoms to nautical miles directly.

First, let’s convert 1 fathom to meters: $1 \text{ fathom} = 6 \text{ feet}$ $6 \text{ feet} \times 0.3048 \text{ meters/foot} = 1.8288 \text{ meters}$

Next, we convert meters to nautical miles: $1.8288 \text{ meters} \div 1852 \text{ meters/nautical mile} \approx 0.000987875 \text{ nautical miles}$

Therefore, 1 fathom is approximately 0.000987875 nautical miles.

Real-world Examples of Other Quantities of Fathoms

Now let’s take some other quantities of fathoms and convert them to nautical miles to see how they compare:

Example 1: 10 Fathoms

$10 \text{ fathoms} = 10 \times 6 \text{ feet} = 60 \text{ feet}$ $60 \text{ feet} \times 0.3048 \text{ meters/foot} = 18.288 \text{ meters}$ $18.288 \text{ meters} \div 1852 \text{ meters/nautical mile} \approx 0.00987875 \text{ nautical miles}$

Example 2: 50 Fathoms

$50 \text{ fathoms} = 50 \times 6 \text{ feet} = 300 \text{ feet}$ $300 \text{ feet} \times 0.3048 \text{ meters/foot} = 91.44 \text{ meters}$ $91.44 \text{ meters} \div 1852 \text{ meters/nautical mile} \approx 0.04939375 \text{ nautical miles}$

Example 3: 100 Fathoms

$100 \text{ fathoms} = 100 \times 6 \text{ feet} = 600 \text{ feet}$ $600 \text{ feet} \times 0.3048 \text{ meters/foot} = 182.88 \text{ meters}$ $182.88 \text{ meters} \div 1852 \text{ meters/nautical mile} \approx 0.0987875 \text{ nautical miles}$

Example 4: 200 Fathoms

$200 \text{ fathoms} = 200 \times 6 \text{ feet} = 1200 \text{ feet}$ $1200 \text{ feet} \times 0.3048 \text{ meters/foot} = 365.76 \text{ meters}$ $365.76 \text{ meters} \div 1852 \text{ meters/nautical mile} \approx 0.197575 \text{ nautical miles}$

Summary Table

Fathoms	Nautical Miles
1	0.000987875
10	0.00987875
50	0.04939375
100	0.0987875
200	0.197575

These examples give you a good understanding of how to convert fathoms to nautical miles and how significant different quantities of fathoms are in terms of nautical miles, which are often used in marine and air navigation.