Math Problem Statement
The water pressure on a submerged object is given by p=64d, where p is the pressure in pounds per square foot, and d in the object's depth in feet. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
Solution
To find the depth of a submerged object given the pressure , we can use the formula:
Given that pounds per square foot, substitute this value into the equation:
Now, solve for by dividing both sides of the equation by 64:
So, the depth of the submerged object is 10.5 feet.
Would you like further details or clarifications? Here are some related questions to consider:
- How does pressure change with depth in general?
- What factors influence water pressure apart from depth?
- How can we calculate pressure in different liquids?
- What is the relationship between pressure and force in fluids?
- How does the density of the fluid affect pressure calculations?
Tip: Always ensure units are consistent when working with formulas. This avoids common calculation errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Physics
Formulas
p = 64d
Theorems
Linear equation solution
Suitable Grade Level
Grades 6-8
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