Problem Description:
The image provided is a graph titled "Earthquake P-wave and S-wave Travel Time." It shows the relationship between the
travel time (in minutes) of seismic waves (P-waves and S-waves) and the
epicenter distance (in units of \(10^3\) km). The task likely involves using this graph to determine specific travel times or distances for given scenarios.
Solution Approach:
To solve problems involving this graph, we need to understand the following:
1.
Axes Interpretation:
- The
x-axis represents the
epicenter distance in units of \(10^3\) km.
- The
y-axis represents the
travel time in minutes.
2.
Curves:
- The
P-wave curve (labeled as "P") represents the travel time of primary waves.
- The
S-wave curve (labeled as "S") represents the travel time of secondary waves.
3.
Task:
- Typically, the task might involve finding the travel time for a given epicenter distance or vice versa.
- If no specific problem is stated, I will demonstrate how to use the graph for both scenarios.
Demonstration:
#### Scenario 1: Finding Travel Time for a Given Epicenter Distance
Suppose we are asked to find the travel time for an epicenter distance of \(6 \times 10^3\) km.
1.
Locate the Epicenter Distance on the x-axis:
- Find \(6\) on the x-axis (since the units are \(10^3\) km).
2.
Find the Corresponding Travel Times:
- For the
P-wave:
- Draw a vertical line from \(6\) on the x-axis up to the P-wave curve.
- From the intersection point, draw a horizontal line to the y-axis.
- Read the value on the y-axis. This is the travel time for the P-wave.
- For the
S-wave:
- Repeat the process for the S-wave curve.
3.
Read the Values:
- From the graph, the travel time for the P-wave at \(6 \times 10^3\) km is approximately
9 minutes.
- The travel time for the S-wave at \(6 \times 10^3\) km is approximately
18 minutes.
#### Scenario 2: Finding Epicenter Distance for a Given Travel Time
Suppose we are asked to find the epicenter distance for a travel time of 12 minutes.
1.
Locate the Travel Time on the y-axis:
- Find \(12\) on the y-axis.
2.
Find the Corresponding Epicenter Distances:
- For the
P-wave:
- Draw a horizontal line from \(12\) on the y-axis to the P-wave curve.
- From the intersection point, draw a vertical line down to the x-axis.
- Read the value on the x-axis. This is the epicenter distance for the P-wave.
- For the
S-wave:
- Repeat the process for the S-wave curve.
3.
Read the Values:
- From the graph, the epicenter distance for the P-wave at 12 minutes is approximately \(7 \times 10^3\) km.
- The epicenter distance for the S-wave at 12 minutes is not possible since the S-wave curve does not reach 12 minutes within the given range.
Final Answer:
Depending on the specific task, the answers will vary. For the demonstrated scenarios:
- For an epicenter distance of \(6 \times 10^3\) km:
- P-wave travel time: \(\boxed{9 \text{ minutes}}\)
- S-wave travel time: \(\boxed{18 \text{ minutes}}\)
- For a travel time of 12 minutes:
- P-wave epicenter distance: \(\boxed{7 \times 10^3 \text{ km}}\)
- S-wave epicenter distance: Not possible within the given range.
Parent Tip: Review the logic above to help your child master the concept of earthquake p wave and s wave travel time worksheet.
