During a 12- hour period, the tides in one area of the Bay of Fundy causes the water level to rise to 6 m above the average sea level and to fall 6 m below average sea level. The depth of the water at low tide is 2m as measured against a pier.
Suppose the water is at average sea level (rest position) at 0:00 hours (midnight) and the tide is coming in. Draw a graph that shows the height of the tide over a 24-hours period. Explain how you obtain the graph???
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so period then is 24 hrs.
Amplitude is 6m
Draw a sin curve, starting at zero, max at 6 hrs, then back to zero at 12 hrs, then low min at 18 hrs, back to zero at 24
To create a graph showing the height of the tide over a 24-hour period, you can follow these steps:
1. Set up your graph paper or use a graphing tool on your computer. Divide the x-axis into 24 equal intervals, representing each hour of the day.
2. Label the y-axis as "Tide Height (m)" and divide it into appropriate intervals, considering the given information. Since the tide rises 6m above average sea level and falls 6m below average sea level, you can divide the y-axis into intervals of 4m, representing 2m below average sea level (-2m), average sea level (0m), and 2m above average sea level (2m).
3. Start at the point (0, 0), which represents midnight (0:00 hours) when the water is at average sea level. Mark this point on the graph.
4. At 1:00 hour, the tide would have been rising for an hour, so it would be 1/12th of the way towards the high tide point. Since the total rise is 6m, 1/12th of 6m is 0.5m. So, mark a point at (1, 0.5).
5. Continue this process for every hour. At 2:00 hours, the tide would have been rising for 2 hours, so it would be 2/12th of the way towards the high tide point, which is 1m. Therefore, mark a point at (2, 1).
6. Continue marking points for each hour, following the pattern of rising tide towards the high tide point, until you reach the high tide point at 6:00 hours. At 6:00 hours, mark a point at (6, 2), indicating the high tide level.
7. After 6:00 hours, the tide would start receding. So, from 7:00 hours to 12:00 hours, mark points following a symmetrical pattern of the tide falling towards the low tide level. At 12:00 hours, mark a point at (12, -2), indicating the low tide level.
8. From 13:00 hours to 18:00 hours, follow the same pattern as the rising tide but in the opposite direction, indicating the tide going from low tide to high tide. At 18:00 hours, mark a point at (18, 2), indicating high tide again.
9. Finally, from 19:00 hours to 24:00 hours, mark points following the pattern of the tide falling towards the low tide level, but opposite to what was done in step 7. At 24:00 hours, mark a point at (24, -2), indicating the low tide level.
By connecting all these points, you will have a graph showing the height of the tide over a 24-hour period in the Bay of Fundy.
To draw a graph showing the height of the tide over a 24-hour period, you will need to consider the information provided about the tides in the Bay of Fundy.
1. First, let's establish some key points on the graph:
- The rest position, or average sea level, is 0 meters.
- At high tide, the water level rises to 6 meters above average sea level.
- At low tide, the water level falls to 6 meters below average sea level.
- At low tide, the water depth is 2 meters below a pier.
2. The graph should cover a 24-hour period, so the x-axis represents time in hours (from 0 to 24), while the y-axis represents the height of the water level in meters.
3. Start by plotting the point (0, 0) at midnight, which is the rest position or average sea level.
4. Since the tide is coming in, we can calculate the rise of the tide. The water level will rise from 0 meters to 6 meters above average sea level. This rise occurs over a 6-hour period. So, you can plot the line between the point (0, 0) and (6, 6).
5. At 6 hours, the tide will have reached its peak, and the water level is now 6 meters above average sea level. Plot the point (6, 6).
6. The tide will then start to go out, causing the water level to gradually decrease from 6 meters above average sea level to 6 meters below average sea level. This decrease also occurs over a 6-hour period.
7. Plot another line from (6, 6) to (12, -6) to represent the falling tide.
8. At 12 hours, the tide will reach low tide, which is 6 meters below average sea level. Plot the point (12, -6).
9. The water depth at low tide is 2 meters below a pier. Since low tide is at -6 meters, the water level at the pier would be -8 meters. Plot the point (12, -8) to represent this.
10. The tide will then start to come back in, causing the water level to gradually rise from 6 meters below average sea level to 0 meters. Again, this increase occurs over a 6-hour period.
11. Plot another line from (12, -6) to (18, 0) to represent the rising tide.
12. At 18 hours, the tide will reach high tide again, which is the rest position or average sea level. Plot the point (18, 0).
13. Finally, the tide will continue to go out over the remaining 6 hours, causing the water level to decrease from 0 meters to 6 meters below average sea level.
14. Plot the line from (18, 0) to (24, -6) to represent the falling tide.
15. At 24 hours, the tide will once again be at low tide as it was at the beginning of the graph. Plot the point (24, -6).
Your graph should now show the height of the tide over a 24-hour period, starting from the rest position (0 meters) at midnight, reaching the peak at 6 hours, falling to the lowest point at 12 hours, and returning to the rest position at 18 hours. The graph should then mirror the first half, showing the tide rising and falling over the remaining 6 hours.
Remember to label the x-axis as time (in hours) and the y-axis as the height of the water level (in meters) to make it clear to readers.