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Alla [95]
3 years ago
11

A high-performance composite flywheel rotor can spin anywhere between 30,000 and 100,000 revolutions per minute. What

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

Step-by-step explanation:

1 revolution will equal 360 degrees

Because of that 30,000 revolution would be 10,800,000 degrees

100,000 rev would equal 36,000,000 degrees

The range through which the composite flywheel rotates in one minute be denoted by ' F ' . (1.08 x 107)° F (3.6 x 107)°

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\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\begin{array}{llll}
\stackrel{frequency}{f}\textit{ of a vibrating string varies directly}\\
\qquad \qquad \textit{with the square root of the tension }\stackrel{tension}{t}
\end{array}

\bf f=k\sqrt{t}\quad \textit{we also know that }
\begin{cases}
f=300\\
t=8
\end{cases}\implies 300=k\sqrt{8}
\\\\\\
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\\\\\\
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\bf thus\qquad f=\stackrel{k}{75\sqrt{2}}\sqrt{t}\implies \boxed{f=75\sqrt{2t}}\\\\
-------------------------------\\\\
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