Plate tectonics data table and magnetic stripe pattern along the Mid-Atlantic Ridge.
Diagram showing the Mid-Atlantic Ridge with magnetic stripes and a table of plate tectonics data including age, distance from ridge, and actual distance.
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Step-by-step solution for: bill nye seafloor spreading worksheet
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Show Answer Key & Explanations
Step-by-step solution for: bill nye seafloor spreading worksheet
Problem Analysis:
The task involves analyzing the relationship between the age of oceanic crust and its distance from the Mid-Atlantic Ridge (MAR). The provided data table shows the age of the crust in millions of years (Mya) and the corresponding distances from the MAR. The goal is to understand how the distance from the MAR changes with the age of the crust.
Data Table:
| Age of Crust (Mya) | Distance From MAR (km) | Calculated Distance (km) |
|---------------------|------------------------|--------------------------|
| 38 | 1.5 cm | 256 km |
| 63 | 2.0 cm | 3006 km |
| 83 | 2.5 cm | 1025 km |
| 125 | 3.0 cm | 1974 km |
| 225 | 4.0 cm | 2774 km |
| 305 | 6.0 cm | 3356 km |
Key Observations:
1. Distance Units: The "Distance From MAR" column is given in centimeters (cm), while the "Calculated Distance" column is in kilometers (km). This suggests a scaling factor is applied.
2. Scaling Factor: The image indicates that 1 cm on the map represents 800 km in reality. This is a key piece of information for converting distances.
3. Relationship: We need to determine if there is a consistent pattern or relationship between the age of the crust and its distance from the MAR.
Step-by-Step Solution:
#### Step 1: Convert Map Distances to Actual Distances
The map scale is given as 1 cm = 800 km. Using this, we can calculate the actual distances for each entry in the "Distance From MAR" column.
- For 1.5 cm:
\[
\text{Actual Distance} = 1.5 \, \text{cm} \times 800 \, \text{km/cm} = 1200 \, \text{km}
\]
- For 2.0 cm:
\[
\text{Actual Distance} = 2.0 \, \text{cm} \times 800 \, \text{km/cm} = 1600 \, \text{km}
\]
- For 2.5 cm:
\[
\text{Actual Distance} = 2.5 \, \text{cm} \times 800 \, \text{km/cm} = 2000 \, \text{km}
\]
- For 3.0 cm:
\[
\text{Actual Distance} = 3.0 \, \text{cm} \times 800 \, \text{km/cm} = 2400 \, \text{km}
\]
- For 4.0 cm:
\[
\text{Actual Distance} = 4.0 \, \text{cm} \times 800 \, \text{km/cm} = 3200 \, \text{km}
\]
- For 6.0 cm:
\[
\text{Actual Distance} = 6.0 \, \text{cm} \times 800 \, \text{km/cm} = 4800 \, \text{km}
\]
#### Step 2: Compare Calculated Distances with Provided Data
The "Calculated Distance" column in the table provides different values than those derived from the map scale. This suggests that the "Calculated Distance" might be based on a different method or model, such as seafloor spreading rates.
#### Step 3: Analyze the Relationship Between Age and Distance
Seafloor spreading theory states that the distance of oceanic crust from a mid-ocean ridge is proportional to its age. The rate of seafloor spreading can be calculated using the formula:
\[
\text{Spreading Rate} = \frac{\text{Distance}}{\text{Age}}
\]
Let's calculate the spreading rate for each entry:
- For 38 Mya (256 km):
\[
\text{Spreading Rate} = \frac{256 \, \text{km}}{38 \, \text{Mya}} \approx 6.74 \, \text{km/Mya}
\]
- For 63 Mya (3006 km):
\[
\text{Spreading Rate} = \frac{3006 \, \text{km}}{63 \, \text{Mya}} \approx 47.71 \, \text{km/Mya}
\]
- For 83 Mya (1025 km):
\[
\text{Spreading Rate} = \frac{1025 \, \text{km}}{83 \, \text{Mya}} \approx 12.35 \, \text{km/Mya}
\]
- For 125 Mya (1974 km):
\[
\text{Spreading Rate} = \frac{1974 \, \text{km}}{125 \, \text{Mya}} \approx 15.79 \, \text{km/Mya}
\]
- For 225 Mya (2774 km):
\[
\text{Spreading Rate} = \frac{2774 \, \text{km}}{225 \, \text{Mya}} \approx 12.33 \, \text{km/Mya}
\]
- For 305 Mya (3356 km):
\[
\text{Spreading Rate} = \frac{3356 \, \text{km}}{305 \, \text{Mya}} \approx 11.00 \, \text{km/Mya}
\]
#### Step 4: Interpret the Results
The spreading rates vary significantly, which could be due to several factors:
1. Non-uniform Spreading: Seafloor spreading rates are not constant over time and may vary depending on tectonic forces.
2. Model vs. Map Scale: The "Calculated Distance" values likely come from a model that accounts for these variations, whereas the map scale provides a direct measurement.
Final Answer:
The problem involves understanding the relationship between the age of oceanic crust and its distance from the MAR. The calculated distances in the table are based on a model that accounts for varying spreading rates, rather than a simple linear scale. The spreading rates derived from the data show significant variation, indicating non-uniform seafloor spreading.
\boxed{\text{The relationship between age and distance is complex and varies due to non-uniform spreading rates.}}
Parent Tip: Review the logic above to help your child master the concept of sea floor spreading worksheets.