A small turtle moves at a speed of 501 furlongs per fortnight. Find the speed of the turtle in centimeters per second. Note that 1 furlong = 220 yards and 1 fortnight = 14 days.

To convert the speed of the turtle from furlongs per fortnight to centimeters per second, we will follow a step-by-step conversion process using the given unit conversions.

### Step 1: Convert furlongs to yards
The turtle's speed is given as 501 furlongs per fortnight.
Since 1 furlong = 220 yards:
\[
501 \text{ furlongs} \times 220 \text{ yards per furlong} = 110220 \text{ yards per fortnight}
\]

### Step 2: Convert yards to meters
We know that 1 yard = 0.9144 meters:
\[
110220 \text{ yards} \times 0.9144 \text{ meters per yard} = 100800.168 \text{ meters per fortnight}
\]

### Step 3: Convert meters to centimeters
Since 1 meter = 100 centimeters:
\[
100800.168 \text{ meters} \times 100 \text{ centimeters per meter} = 10080016.8 \text{ centimeters per fortnight}
\]

### Step 4: Convert fortnights to seconds
A fortnight is 14 days, and each day has 24 hours, each hour has 60 minutes, and each minute has 60 seconds:
\[
14 \text{ days} \times 24 \text{ hours per day} \times 60 \text{ minutes per hour} \times 60 \text{ seconds per minute} = 1209600 \text{ seconds per fortnight}
\]

### Step 5: Calculate speed in centimeters per second
Finally, divide the total centimeters traveled by the total time in seconds:
\[
\text{Speed} = \frac{10080016.8 \text{ centimeters}}{1209600 \text{ seconds}} \approx 8.334 \text{ centimeters per second}
\]

Thus, the speed of the turtle is approximately **8.334 centimeters per second**.

Would you like more details on any part of the solution? Here are five related questions:

1. How would the speed change if the turtle moved at 600 furlongs per fortnight?
2. What is the turtle's speed in meters per minute?
3. How does the conversion of furlongs to kilometers per hour compare?
4. How would you convert a speed given in miles per hour to furlongs per fortnight?
5. What would be the speed if the time period was a week instead of a fortnight?

**Tip:** When converting units, it’s often helpful to write down each conversion factor explicitly to avoid mistakes.

Learn how to convert the speed of a turtle from 501 furlongs per fortnight to centimeters per second using unit conversion. This problem involves converting units such as furlongs to yards, yards to meters, meters to centimeters, and fortnights to seconds. Suitable for high school students.

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