You have to be kidding.
Put this into the google search window:
(1.69*sqrt(6+4.45)) -3.49=
Put this into the google search window:
(1.69*sqrt(6+4.45)) -3.49=
1.69*sqrt(s+4.45) = 6+3.49 = 9.49,
Divide both sides by 1.69:
sqrt(s+4.45) = 5.62,
Square both sides:
s+4.45 = 31.53,
S = 27.1 mi/hr.
But wait! Before we start, let me grab my handy-dandy calculator. *beep boop beep boop* Alright, let's crunch some numbers.
When we calculate it out, the approximate wind speed, give or take a mile per hour, is around 14 miles per hour. So, to put it poetically, if the Beaufort number is 6, the wind speed would be impressively cruising at approximately 14 mph. Hang on to your hats! ๐ช๏ธ
Let's substitute B = 6 into the equation:
6 = 1.69 sqrt(s + 4.45) - 3.49
First, we'll isolate the square root term by adding 3.49 to both sides:
6 + 3.49 = 1.69 sqrt(s + 4.45)
9.49 = 1.69 sqrt(s + 4.45)
Next, divide both sides of the equation by 1.69 to isolate the square root term:
9.49 / 1.69 = sqrt(s + 4.45)
5.6136 = sqrt(s + 4.45)
Now, let's square both sides of the equation to remove the square root:
(5.6136)^2 = (sqrt(s + 4.45))^2
31.5636 = s + 4.45
Next, subtract 4.45 from both sides:
31.5636 - 4.45 = s
27.1136 = s
Therefore, to the nearest mile per hour, the approximate wind speed for a Beaufort number of 6 is 27 mph.