Question

Long Island Sound has an average depth of 19.9 meters and a length of 156 kilometers (that is, 156,000 meters). What is the natural period of oscillation of Long Island Sound? Would you expect the development of significant tides? Why or why not?

Answer 1

natural period = 22.341 × 10³ s

not expecting development of tides

Step-by-step explanation:

given data

average depth = 19.9 meters

length = 156 km = 156000 m

to find out

the natural period of oscillation of Long Island Sound

solution

we know that natural period formula that is

natural period =
`(2l)/(√(gh))` ................1

here l is length and h is average depth

put here value in equation 1

natural period =
`(2l)/(√(gh))`

natural period =
`(2*156000)/(√(9.8*19.9))`

natural period = 22.341 × 10³ s

here i think of very long dam expected length 30 to 50 km be built from coasts straight out to sea or ocean without enclosing

tidal phase difference are introduce across the dam

that leads to significant water level differential in shallow coastal sea

but here not expecting development of tides