Find \( t \).

\[ v = 1087 \sqrt{\frac{t}{273}} \]

1)\ \ \ v=1087 \sqrt{ \frac{t}{273} } \ \ \ \Leftrightarrow\ \ \ v=1087 \cdot \sqrt{t} }\cdot \frac{1}{\sqrt{273}}\ /\cdot \sqrt{273}\\\\\sqrt{273}\cdot v=1087\cdot \sqrt{t} \ /:1087\\\\ \sqrt{t}= \frac{\sqrt{273}\cdot v}{1087} \ \ \ \Rightarrow\ \ \ (\sqrt{t})^2=( \frac{\sqrt{273}\cdot v}{1087})^2\\\\t= \frac{\big{273\cdot v^2}}{\big{1087^2} }\ \ \ \Rightarrow\ \ \ t= \frac{\big{273v^2}}{\big{1,181,569} }\\\\
2)\ \ \ v=1087 \sqrt{ \frac{t}{273} } \ \ \ \Leftrightarrow\ \ \ v=1087 \cdot \frac{ \sqrt{t} }{273} \ /\cdot273\\\\273\cdot v=1087\cdot \sqrt{t} \ /:1087\\\\\sqrt{t}= \frac{\big{273\cdot v}}{\big{1087}} \ \ \ \Rightarrow\ \ \ (\sqrt{t})^2= (\frac{273\cdot v}{1087} )^2\\\\t= \frac{\big{273^2\cdot v^2}}{\big{1087^2}} \ \ \ \Rightarrow\ \ \ t=\frac{\big{74529\cdot v^2}}{\big{1,181,569}}

Answered by kate200468 | 2024-06-10

v = 273 1087 t ​ ​ / ⋅ 1087 273 ​ t ​ = 1087 273 v ​ t = ( 1087 273 v ​ ) 2

Answered by Anonymous | 2024-06-24

To find t from the equation v = 1087 273 t ​ ​ , isolate t and calculate it using the formula t = 1187569 273 v 2 ​ . Simply substitute the value of v to compute t .
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Answered by kate200468 | 2024-12-17