Question

the diameter of wheel is 70 cm. how many time the wheel will resolve in order to cover a distance of 110 m

Answer 1

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a cycle wheel having diameter 70cm will cover 110m or 11000cm of distance in 40 revolutions. 

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Answer 2

Answer :

50 times

Step-by-step explanation :

Question says that, a wheel of diameter 70cm needs to cover a distance of 110m. find the required rotation of the wheel.

Step 1 : Find the circumstance of the wheel :

The wheel is circular in shape.

Perimeter of a circle is : 2πr

Where,

• r (radius) will be half of the diameter i.e., 35cm.
• Taking ‘π’ as 22/7

So, the perimeter of the wheel is :

→ 2 × 22/7 × 35

→ 2 × 22 × 5

→ 220cm.

Step 2 : Calculate the required rotation by the wheel :

Convert the circumstances in ‘metres’

we know that,

1m = 100cm

So, 220cm = 2.20metres.

Now,

Required rotation is given by :

→ distance to be covered ÷ circumstance of the wheel.

→ 110m ÷ 2.20

→ 50

∴ The wheel must resolve 50 times in order to complete 110metres of distance.