Question

16.
how many times a wheel of radius 28cm must rotate to go
352m ? ( Take pi = 24/7)
take ur time
but give me correct answer​

Answer 1

Answer:

• Radius of wheel = 28 cm
• Distance to cover = 352 m
• Rotation = ?

When wheel will rotate once, it will cover Circumference of the wheel.

• According to the Question :

⇢ Distance = Circumference × Rotation

⇢ 352 m = 2πr × Rotation

⇢ 352 m = 2 × 22/7 × 28 cm × Rotation

• we will change distance into cm

⇢ 352 × 100 cm = 2 × 22 × 4 cm × Rotation

⇢ 352 × 100 cm / 2 × 22 × 4 cm × Rotation

⇢ 8 × 25 = Rotation

⇢ Rotation = 200

∴ Hence, Wheel will make 200 rotation to complete 352 meter distance.

Answer 2

Question

How many times A wheel of radius 28 cm must rotate to go 352 m?

$\sf{Answer = \bold{352m}}$

$\sf{Step\ by\ step\ explanation:-}$

Here, we will proceed by calculating the circumference of the given wheel which is equal to the distance covered by the wheel in one rotation. Finally, we will evaluate the total number of rotations taken to cover 352 m.

• Radius= 28cm
• $\sf{\bold{Circumference\ of\ circle= 2 \pi r}}$

$\sf{\Longrightarrow Circumference\ of\ wheel\ = 2\pi r}$

$\sf{\Longrightarrow Circumference\ of\ wheel\ = 2\times \dfrac{22}{7} \times 28}$

$\sf{\Longrightarrow Circumference\ of\ wheel\ = 2\times \dfrac{22}{\cancel{7}} \times \cancel{28}⁴}$

$\sf{\Longrightarrow Circumference\ of\ wheel\ = 44\times 4}$

$\sf{\Longrightarrow Circumference\ of\ wheel\ = 176\: cm}$

$\sf{since \: 1cm= \dfrac{1}{100} m}$

$\sf{\Longrightarrow Circumference\ of\ wheel\ = \dfrac{176}{100}= 1.76m}$

$\sf{i.e.,\ Tota distance\ covered\ =\ (Circumference\ of\ the\ wheel)\ x\ (Total\ number\ of\ rotations)}$

$\sf{\Longrightarrow 352= 1.76 \times x}$

$\sf{\Longrightarrow X= \dfrac{352}{1.76}}$

$\sf{\Longrightarrow X=200}$

Thus, wheel must rotate 200 times to go 352 m.