Subjects algebra

Formula Manipulation

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Formula Manipulation


1. The problem is to understand the formula $U = qt\pi$ and possibly manipulate or evaluate it. 2. The formula relates three variables: $U$, $q$, and $t$, with the constant $\pi$ (approximately 3.1416). 3. If you want to solve for any one variable, you can rearrange the formula accordingly. For example, to solve for $t$, divide both sides by $q\pi$: $$t = \frac{U}{q\pi}$$ 4. This equation shows that $t$ is the ratio of $U$ to the product of $q$ and $\pi$. 5. Similarly, to solve for $q$, divide both sides by $t\pi$: $$q = \frac{U}{t\pi}$$ 6. To calculate $U$ given $q$ and $t$, multiply them and then by $\pi$ as per the original formula. 7. This formula might represent a physical relationship involving these quantities, with $\pi$ suggesting a circular or rotational context. Final formulae: $$U = qt\pi$$ $$t = \frac{U}{q\pi}$$ $$q = \frac{U}{t\pi}$$