Question

if the rear wheel of a tractor makes 2000 revolutions in covering 11 km , find the radius of rear wheel​

Answer 1

Answer:

0.875m or 87.5cm

Step-by-step explanation:

Revolution = Distance Covered / Circumference

Let the circumference be X

=> 2000 = 11000m / X

=> X = 11000m / 2000

=> X = 5.5m

=> 2πr = 5.5m

=> r = 5.5 / 2π

=> Approx. 0.875m or 87.5cm.

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Answer 2

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Answer:

• Radius of the rear wheel = 0.875 metres.

Given:

• If the rear wheel of a tractor makes 2000 revolutions in covering 11 km

To find:

• Find the radius of rear wheel ?

Let's understand:

• First let us find Distance in one revolution.

$\boxed{\sf Distance \: covered \: in \:1 \: revolution = \frac{ Distance }{Revolutions}}$

$\rightarrow \sf \dfrac{11 \times 1000}{2000}$

= 5.5m

Need to know:

Circumference of a wheel = 2πr = 5.5

solution:

• To find radius we need to:

2 × 22/7 × r = 5.5

2 × 22 × r = 38.5

44 × r = 38.5

r = 38.5/44

r = 0.875m.

Hence , Radius of the rear wheel = 0.875 metres.

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