Solve the equation for the indicated variable.
-Solve for $p : T = 2 \pi \sqrt { \frac { p } { n } }$
A) $p = n ( T - 2 \pi ) ^ { 2 }$
B) $p = \frac { T ^ { 2 } } { 4 \pi ^ { 2 } } + n$
C) $p = n \left( \frac { T } { 2 \pi } \right) ^ { 2 }$
D) $p = \left( \frac { n T } { 2 \pi } \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

To solve for $p$, square both sides of the equation to get rid of the square root, resulting in $T^2 = 4\pi^2 \frac{p}{n}$. Then, solve for $p$ by multiplying both sides by $n$ and dividing by $4\pi^2$, which gives $p = n \left( \frac{T}{2\pi} \right)^2$.

Solve the Equation for the Indicated Variable p:T=2πpnp : T = 2 \pi \sqrt { \frac { p } { n } }p:T=2πnp​​

Solve the Equation for the Indicated Variable $p : T = 2 \pi \sqrt { \frac { p } { n } }$