Question

How many revolutions does a cycle wheel of radius 7cm makes to cover a distance of 484cm

Answer 1

Answer:-

No. Of revolution is 11

Explanation:-

We know that the total distance covered by the cycle can be defined as the product of circumference and number of revolutions. We can use this statement to find the number of revolutions.

Solution:-

Circumference of wheel×no. of revolution=total distance

Applying formula for Circumference=2πr

⇒ 2πr×no. Of revolution=484cm

⇒ $\sf2\times \dfrac{22}{7}\times7cm\times no. \:of\: revolution=484cm$

⇒ $\sf2\times \dfrac{22}{\not 7}\times\not 7cm\times no. \:of\: revolution=484cm$

⇒ $\sf2\times 22 \times no. \:of\: revolution=484cm$

⇒ $\sf 44\times no. \:of\: revolution=484cm$

Divide by 44 from both sides

⇒ $\sf 44\times no. \:of\: revolution\div 44=484cm\div44$

⇒ $\sf No. \:of\: revolution=11$

So the required number of revolutions is 11.