Final answer:
To solve for b in the equation T = √Phb/4 + a², square both sides, subtract a², multiply by 4, and finally divide by Ph to get b as the subject. Express b as b = 4(T² - a²) / Ph.
Step-by-step explanation:
To make b the subject of the formula T = √Phb/4 + a², we will first isolate the term involving b on one side of the equation before solving for b. Here are the steps for the rearrangement:
Square both sides of the equation to get rid of the square root: T² = (Phb/4) + a².
Subtract a² from both sides to isolate the term with b: T² - a² = Phb/4.
Multiply both sides of the equation by 4 to get rid of the denominator: 4(T² - a²) = Phb.
Finally, divide both sides by Ph to solve for b: b = 4(T² - a²) / Ph.
Therefore, the subject b is expressed as b = 4(T² - a²) / Ph.