March 14

Garibaldi Lake Task

In this assignment i will aim to find out just how much water there is within Garibaldi Lake. I shall also be answering these questions:

Estimate how much water the Barrier contains behind it in the lake

If the Barrier faulted, what do you think would happen? Consider how much water would escape, and what kind of power is the escaping water equivalent to?

If we are to find how much water there is in the lake we must first find the volume. To find this we must multiply the surface area by the average depth. The surface area is 9.94km² and the average depth is 119m. When we measure the volume we want the units in litres

9.94km² = 9 940 000m²

9 940 000m² is the surface area so we then multiply by the average depth which is 119m to get the volume.

9 940 000m² x 119m = 1 182 860 000m cubed

Next we have to change this to litres to find how out how much water is within the lake.

1m cubed is 1000L so 1 182 860 000m cubed x 1000L =

1 182 860 000  000L of water

this is an over estimate as the depth of the water isn’t all going to be at the same level.

If the barrier broke and all of the water came out 1 182 860 000kg of force would be rushing out as 1L is equal to 1kg. This can’t happen though as the bottom of the lake isn’t flat but is rounded and the barrier is higher than the water so it can’t all rush out at once if at all. This will decrease the number of litres of water that will rush out and in turn decrease how much force is created. The destruction would still be absolutely devastating to all the land that was hit by this sudden wave of water.

Sources

https://en.m.wikipedia.org/wiki/Garibaldi_Lake

https://en.m.wikipedia.org/wiki/The_Barrier

 

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March 14

Surface area of a sphere OE2018

In this activity we used oranges to determine the formula for the surface area of a sphere. To do this we first cut the orange in half to give us two hemispheres, we then used these to trace four circles. After tracing the circles we began to peel the oranges. With the peels we started to fill the circles we had traced without overlapping and we had to completely fill the circles. Everyone in class was able to fill 4 circles so using this we can find the formula. If the area of a circle is πr² and we can fill 4 circles with the entire surface area of the sphere this means the formula is 4πr².

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