Question

the wheel of a motorcycle make 1000 revolution in moving 440 m. The diameter of wheel i
is​

Answer 1

$\green{\large\underline{\sf{Solution-}}}$

Let assume that

• Diameter of the motorcycle wheel is d m

Now,

• Motorcycle wheel make 1000 revolutions to cover 440 m.

Now, we know that,

• Distance covered in 1 revolution is equals to circumference of the wheel.

We know that,

$\red{\rm :\longmapsto\:Circumference_{(wheel)} = \pi \: d}$

So,

$\rm :\longmapsto\:Distance \: travelled \: in \: 1 \: revolution = \pi \: d$

Hence,

$\rm :\longmapsto\:Distance \: travelled \: in \: 1000 \: revolution = 1000\pi \: d$

According to statement,

Distance covered in 1000 revolutions = 440 m

$\rm \implies\:1000\pi \: d = 440$

$\rm \implies\:1000 \times \dfrac{22}{7} \times \: d = 440$

$\rm \implies\:d = \dfrac{440 \times 7}{22000}$

$\rm \implies\:d = 0.14 \: m$

Or

$\rm \implies\:d =14 \: cm$

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Additional Information :-

$\red{\rm :\longmapsto\:Area_{rectangle} \: = \: l \times b \: }$

$\red{\rm :\longmapsto\:Area_{square} \: = \: {side}^{2} \: }$

$\red{\rm :\longmapsto\:Area_{rhombus} \: = \: base \times height \: }$

$\red{\rm :\longmapsto\:Area_{rhombus} \: = \: \dfrac{1}{2} \times d_{1} \times d_{2} \: }$

Answer 2

Answer:

0.14 m

Step-by-step explanation:

Distance covered in 1 revolution = π  

diameter = πd  

1000 πd = 440

⇒ 1000 × $\frac{22}{7}$ ×d = 440  

⇒ d = 440 × 71000 × 22  

⇒ 0.14 m

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