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Lake Erie is prone to remarkable seiches-standing waves that slosh water back an

ID: 1615093 • Letter: L

Question

Lake Erie is prone to remarkable seiches-standing waves that slosh water back and forth in the lake basin from the west end at Toledo to the east end at Buffalo. (Figure 1) shows smoothed data for the displacement from normal water levels along The lake at the high point of one particular seiches. 3 hours later the water was at normal levels throughout the basin; 6 hours later the water was high in Toledo and low in Buffalo. What is the frequency? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

A seiche is a standing wave in an enclosed or partially enclosed body of water. Seiches are caused when strong winds and rapid changes in atmospheric pressure push water from one end of a body of water to the other. They are usually observed in lakes, reservoirs and seas.

In the graph, we are given that length of the seiches-standing waves from west end at Toledo to the east end at Buffalo is given by L = 400 km

L = (400)(1000) m

L = 40 x 105 m

Wavelenghth = = 2L

= (2)(400)

= 800 km

Part B:

Again in the graph, it is shown that the total time of the displacement of water levels is

T = 2 x (6 hours)

T = 12 hours

T = (12)(60)(60) seconds

T = (12)(60)(60)

T = 43200 seconds

Frequency = f = 1/T

f = 1 / (43200) Hz

f = 2.31 x 10-5 Hz

or  f = 0.0000231Hz