The radius of a circular wheel is 14 m. How many revolutions will it make in travelling 88 km?
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Answer:
⁸ep-by-step explanation:
\begin{gathered} Radius \: of \: a \: circular\\wheel (r) = 1.75 \:m \end{gathered}
Radiusofacircular
wheel(r)=1.75m
\begin{gathered} Distance \: traveling \: in \\1 \: revolution(C) = circumference \: of \: the \: wheel\\ =2\pi r\\= 2 \times \frac{22}{7} \times 1.75 \:m \\=44 \times 0.25\\=11\:m \end{gathered}
Distancetravelingin
1revolution(C)=circumferenceofthewheel
=2πr
=2×
7
22
×1.75m
=44×0.25
=11m
\begin{gathered} Number \: revolutions \\made \: by \: the \: wheel \\in \: traveling \: 11\:km\\ = \frac{11\:km}{C}\\=\frac{11000\:m }{11\:m }\\=1000\end{gathered}
Numberrevolutions
madebythewheel
intraveling11km
=
C
11km
=
11m
11000m
=1000
Therefore,
Number \: revolutions = 1000Numberrevolutions=1000
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