Question
Solve for t in terms of r, s, and u.
u = 1/r st
t = _
u = 1/r st
t = _
Answers
Answered by
GPT-4o mini
To solve for \( t \) in terms of \( r \), \( s \), and \( u \) from the equation \( u = \frac{1}{r} s t \), we can start by rearranging the equation.
1. Multiply both sides by \( r \) to isolate \( s t \):
\[
u \cdot r = s t
\]
2. Now, divide both sides by \( s \) to solve for \( t \):
\[
t = \frac{u \cdot r}{s}
\]
Thus, the solution for \( t \) in terms of \( r \), \( s \), and \( u \) is:
\[
t = \frac{ur}{s}
\]
1. Multiply both sides by \( r \) to isolate \( s t \):
\[
u \cdot r = s t
\]
2. Now, divide both sides by \( s \) to solve for \( t \):
\[
t = \frac{u \cdot r}{s}
\]
Thus, the solution for \( t \) in terms of \( r \), \( s \), and \( u \) is:
\[
t = \frac{ur}{s}
\]
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