Question

The diameter of a scooter's wheel is 44 cm. How far will the scooter have traveled after 450 revolution of the wheel? Give your answer in meters

Answer 1

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GIVEN :

=> THE DIAMETER OF A WHEEL :

=> 44 CM

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TO FIND :

=> THE DISTANCE COVERED IN 450 REVOLUTIONS ....

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STEP 1 :

=> TO FIND THE CIRCUMFERENCE OF THAT WHEEL

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TO FIND THE CIRCUMFERENCE WE NEED THE RADIUS

RADIUS :

=> DIAMETER / 2

=> 44 / 2

=> 22 CM

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CIRCUMFERENCE OF THE WHEEL ( CIRCLE ) :

=> 2 * π * R

=> 2 * 22 / 7 * 22

=> 44 / 7 * 22

=> 138.285 CM

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STEP 2 :

=> TO FIND THE DISTANCE COVERED IN 450 REVOLUTIONS

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WE CALCULATED THE DISTANCE COVERED BY THE WHEEL IN 1 REVOLUTION :

=> 138.285 CM

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DISTANCE COVERED IN 450 REVOLUTIONS :

=> DISTANCE COVERED IN 1 REVOLUTION * 450

=> 138.285 CM * 450

=> 68,228.25 CM

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STEP 3 :

=> TO CALCULATE THIS DISTANCE IN METER :

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1 M = 100 CM

=> WHEEL COVERED DISTANCE OF 68,228.25 CM ....

IN METER ,

=> 68,228.25 / 100

=> 682.2825 M

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HOPE IT WILL HELP U ....

THANKS .....

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Answer 2

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$\underline{\underline{\huge{\textbf{Solution:}}}}$

Given,
Diameter of Wheel of the Scooter $d = 44\: cm$

Distance travelled by scooter for 450 revolutions of it's wheel = ? mts

$\underline{\large{\textbf{Step-1:}}}$
Find the Radius of the Scooter's Wheel

Shape of the Scooter's Wheel is a Circle

For a Circle, We have,
$\textsf{Diameter = 2 \times Radius}$

$\implies \textsf{Radius = \dfrac{Diameter}{2} }$

Substituting Values

$\implies Radius\: of\: the\: Scooter's\: wheel,r = \frac{44\: cm}{2} = 22\: cm$

$\underline{\large{\textbf{Step-2:}}}$
Find the Circumference of the Scooter's Wheel

We have,
$\textsf{Circumference of Circle = 2 \pi r }$

Substituting Values

$\implies Circumference\: of\: Scooter's\: wheel, C = 2 \times \frac{22}{7} \times 22\: cm$

$\implies C = 2 \times \frac{22^{2}}{7}\: cm$

$\implies C = \frac{484\times2}{7}\: cm$

$\implies C = \frac{968}{7}\: cm$

$\implies C = 138.28\: cm$

$\therefore$
The Circumference of the Scooter's Wheel = 138.28 cm

$\underline{\large{\textbf{Step-3:}}}$
Find the Distance travelled by Scooter in 450 revolutions of it's wheel(in cm)

$\star$ Distance travelled by Scooter in 'n' revolutions of it's wheel is equal to product of Circumference of wheel and no. of revolutions made by the wheel.

$Distance\: travelled = C \times n$

Given no. of revolutions made by the Scooter's wheel, n = 450

Substituting Values

$\implies Distance\: travelled = 138.28 \times 450$

$\implies Distance\: travelled = 138.28 \times 450$

$\implies Distance\: travelled = 62226\: cm$

$\underline{\large{\textbf{Step-4:}}}$
Express the distance travelled by the scooter in 450 revolutions of it's wheel in mts

We have,
$\textsf{1 meter = 100 centimeters}$
$1\: m = 100\: cm$

$\implies 1\: cm = \frac{1}{100}\: m$

$Distance\: travelled = 62226\: cm$

$\implies Distance\: travelled = 62226\: \times \frac{1}{100}\: m$

$\implies Distance\: travelled = \frac{62226}{100}\: m$

$\implies Distance\: travelled = 622.226\: m$

$\therefore$
$\star \textsf{Distance travelled by Scooter in 450 revolutions of it's wheel = 622.26 mts}$

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