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scoray [572]
3 years ago
7

14. At what speed in miles per hour will a bicycle travel if the rider can cause the 26-inch diameter wheel to rotate 90 revolut

ions per minute? Round answer to the nearest tenth.
Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0
So    a revolution is just another way to say 2π, so 96 revolutions will then be 96 * 2π, or 192π, so that means the angular speed = w 192 π/m

\bf v=rw\qquad 
\begin{cases}
w=\textit{angular speed}\\
r=radius\\
v=\textit{linear speed}\\
----------\\
w=\frac{192\pi }{m}\\\\
r=26
\end{cases}\implies v=\cfrac{\frac{192\pi }{m}}{26}
\\\\\\
v=\cfrac{4992\pi }{m} 


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