My computer doesn't have a square root button
A tsunami travels at S=356(square root of d), s is speed in km/hr and d is the average depth in km. what is the depth of a tsunami travelling 130km/hr
s = 356 sqrt (d)
130 = 356 * sqrt ( d )
sqrt d = 130/356
d = (130/356)^2 = .365^2 = 0.133 km which is 133 meters which is about right
by the way
the speed of a shallow water wave (the whole ocean is shallow for a tsumani :) is about the square root (g h)
or about sqrt (10 m/s^2 * 133) = sqrt (1330) = 36.5 m/s * 3600 s/hr*1 km/1000 m = 131 km/hr
It checks :)
To find the depth of a tsunami traveling at 130 km/hr using the formula S = 356√d, we need to solve for d.
First, isolate the square root of d by dividing both sides of the equation by 356:
S/356 = √d
Next, square both sides of the equation to eliminate the square root:
(S/356)^2 = (√d)^2
Squaring √d simply cancels out the square root, leaving us with:
(S/356)^2 = d
Now, substitute the given speed, S = 130 km/hr, into the equation:
(130/356)^2 = d
Calculate the value of (130/356)^2 to find the depth of the tsunami.
To find the depth of a tsunami traveling at a given speed, you can use the formula S = 356√d, where S represents the speed in km/hr and d represents the average depth in km.
In your case, you're given the speed S = 130 km/hr, and you need to find the depth (d).
To isolate the variable d, you need to solve the equation for d. Here are the steps to find the depth:
1. Start with the equation: S = 356√d.
2. Divide both sides of the equation by 356 to isolate the square root of d: S/356 = √d.
3. Square both sides of the equation to eliminate the square root: (S/356)^2 = (√d)^2.
4. Simplify: S^2 / (356^2) = d.
Now, you can substitute the given speed S = 130 km/hr into the equation to find the depth:
d = S^2 / (356^2)
= (130^2) / (356^2)
= 16900 / 126736
≈ 0.1333 km
Therefore, the depth of the tsunami traveling at 130 km/hr is approximately 0.1333 km.