Moderate -0.8 This is a straightforward proportionality question requiring students to set up P = kv³, find the constant k from given values, then solve a simple cubic equation. It involves only basic algebraic manipulation with no conceptual challenges beyond understanding direct proportion.
The power output, \(P\) watts, of a certain wind turbine is proportional to the cube of the wind speed \(v\)ms\(^{-1}\).
When \(v = 3.6\), \(P = 50\).
Determine the wind speed that will give a power output of 225 watts. [3]
The power output, $P$ watts, of a certain wind turbine is proportional to the cube of the wind speed $v$ms$^{-1}$.
When $v = 3.6$, $P = 50$.
Determine the wind speed that will give a power output of 225 watts. [3]
\hfill \mbox{\textit{SPS SPS SM 2024 Q1 [3]}}