Question

The wheel of a bicycle is 70m is diameter. How far has it can travelled in 720 revolution of the wheel ? The wheels makes 2 revolution/second. Calculate the speed of cyclist in km/h


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Answer 1

Answer:

radius is 35 cm (as radius is half of diameter)

circumference of circle is

\begin{gathered}2\pi \times r \\ radius \: is \: 35 \\ 2 \times 3.14 \times 35 \\ 219.8\end{gathered}

2π×r

radiusis35

2×3.14×35

219.8

It has done 720 revolutions

for 1 revolution distance covered is 219.8

for 720 revolutions it is

\begin{gathered}219.8 \times 720 \\ 158256 \: cm \\ 1582.56 \: m \\ 1.58256 \: km\end{gathered}

219.8×720

158256cm

1582.56m

1.58256km

1.58256 divided by 2

0.79128 kmph

Answer 2

Answer:

Given

• The wheel of a bicycle is 70m in diameter D=70mD=70m .
• The wheels make 2 revolutions/second.

To Find:

How far has it can travel in 720 revolutions of the wheel?

The circumference of the wheel is,2\pi r2πr

$\begin{gathered} \begin{array}{l} \tt=2 \times 22 / 7 \times 35 \\ \tt=2 \times 22 \times 5 \\ \tt=44 \times 5 \\ \tt=220 \mathrm{~m}\end{array}\end{gathered}$

Now calculating how far it can travel in 720 revolutions of the wheel

$\begin{gathered}\begin{array}{l} {\tt=220 \times 720 }\\ \: \tt=158400 \mathrm{~m}\end{array}\end{gathered}$

Now calculating the speed of it,

we know ,

Speed =Distance / time

$\begin{gathered}\begin{array}{l} \tt\text { Speed }=158400 / 360 \\ \tt\text { Speed }=440 \mathrm{~m} / \mathrm{s}\end{array}\end{gathered}$

Now in terms of Km

$\begin{gathered}\begin{array}{l} \tt\text { Speed }=\mathrm{S} \times 18 / 5 \\ \tt\text { Speed }=440 \times 18 / 5 \\ \tt\text { speed }=88 \times 18 \\ \tt\text { speed }=1584 \mathrm{~km} / \mathrm{h}\end{array}\end{gathered}$

$\boxed{ \bf \red{Hence \: it \: can \: travel \: 158400m \: and \: the \: speed \: of \: a \: cyclist \: is \: 1584km \: per \: h}}$