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Answer :
The average rate of plate motion since Kure Island formed is approximately 6.59 cm/yr.
Determine the average rate of plate motion?
To calculate the average rate of plate motion, we need to determine the total distance traveled by the plate and divide it by the total time it took to cover that distance.
Given the distances of each island from Kilauea (in km) and their ages (in millions of years), we can calculate the distance the plate has moved. The distances are as follows:
- Kure Island: 2600 km
- Midway Island: 2550 km
- Necker Island: 1000 km
- Kauai Island: 600 km
- O'ahu Island: 350 km
To find the total distance, we sum up these values: 2600 + 2550 + 1000 + 600 + 350 = 6100 km.
Since the ages are given in millions of years, we need to convert them to years:
- Kure Island: 31 million years
- Midway Island: 25 million years
- Necker Island: 12 million years
- Kauai Island: 5 million years
- O'ahu Island: 3 million years
The total time is the sum of these ages: 31 + 25 + 12 + 5 + 3 = 76 million years = 76 × 10⁶ years.
Finally, we calculate the average rate of plate motion by dividing the total distance by the total time, and convert it to cm/yr:
(6100 km) / (76 × 10⁶ years) = 0.0803 km/yr = 0.0803 × 10⁵ cm/yr ≈ 6.59 cm/yr.
Therefore, the average rate of plate motion since Kure Island formed is approximately 6.59 cm/yr.
To know more about motion, refer here:
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