Question

Scripps Institution of Oceanography in La Jolla, California, developed the formula for relating wind speed, $u$, in knots, with the height, $H$, in feet, of the waves the wind produces in certain areas of the ocean. This formula is $$ u=\sqrt{\frac{H}{0.026}}. $$ If waves produced by a storm have a height of 15 feet, what is the wind speed producing the waves?

Name: Problem 106, Chapter 7: Intermediate Algebra for College Students
Uploaded: 2020-05-16T04:39:40-08:00
Duration: 2 min 23 s
Channel: Jaime Alvarez
Description: Scripps Institution of Oceanography in La Jolla, California, developed the formula for relating wind speed, u, in knots, with the height, H, in feet, of the waves the wind produces in certain areas of the ocean. This formula is u=√((H)/(0.026)). If waves produced by a storm have a height of 15 feet, what is the wind speed producing the waves?

   Scripps Institution of Oceanography in La Jolla, California, developed the formula for relating wind speed, $u$, in knots, with the height, $H$, in feet, of the waves the wind produces in certain areas of the ocean. This formula is 
$$
u=\sqrt{\frac{H}{0.026}}.
$$
If waves produced by a storm have a height of 15 feet, what is the wind speed producing the waves?

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 7, Problem 106

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Solved by Expert Jaime Alvarez

05/16/2020

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Step 1: We are given the height of the waves, H = 15 feet. Show more…

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Scripps Institution of Oceanography in La Jolla, California, developed the formula for relating wind speed, $u$, in knots, with the height, $H$, in feet, of the waves the wind produces in certain areas of the ocean. This formula is $$ u=\sqrt{\frac{H}{0.026}}. $$ If waves produced by a storm have a height of 15 feet, what is the wind speed producing the waves?

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Key Concepts

Substitution in Equations

This concept involves replacing a variable in a formula with its known numerical value to facilitate computation. It is a common strategy in algebra where an equation is used to determine an unknown based on given inputs.

Square Root Operation

The square root operation is the inverse of squaring a number and is used to extract the original number when it has been raised to the power of two. It plays a key role in solving equations where the variable is isolated by taking the square root of both sides.

Direct Proportional Relationships

This concept refers to the relationship where one quantity directly varies with another according to a mathematical formula. Understanding this helps in modeling and interpreting how changes in one variable affect another in practical scenarios.

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