Question

A wheel makes 20 revolutions to cover a distance
of 132 m. Find the diameter of the wheel.​

Answer 1

Answer:

Diameter of wheel = 2.10 m

Step-by-step explanation:

Distance covered in one rotation = Perimeter of wheel = 2πr = πd

Number of rotations = Total distance covered / Distance covered in one rotation

20 = 132/πd

πd = 132/20 = 6.6 m

d = 6.6 / 3.14 = 2.10 m

Answer 2

Given:

✰ A wheel makes 20 revolutions to cover a distance of 132 m.

To find:

✠ The diameter of the wheel.

Solution:

Let's understand the concept first! It is given that a wheel makes 20 revolutions in covering a distance of 132 m. First by using unitary method, we will find the distance covered in one revolution. After that, we know one revolution made by a wheel is equal to the circumference of the wheel or the length of its total boundary. Using the formula of circumference, we will find the radius of the the circular wheel. Then, by using radius, we will calculate its diameter.

Let's find out...✧

➛ Distance covered by wheel to make 20 revolutions = 132 m

➛ Distance covered by wheel to make 1 revolution = 132/20

➛ Distance covered by wheel to make 1 revolution = 6.6 m

Distance covered by wheel to make 1 revolution = Circumference of a wheel

✭ Circumference of a circular wheel = 2πr ✭

Here,

• r is the radius of a circular wheel.

Putting the values in the formula, we have:

➛ 2 × 22/7 × r = 6.6

➛ 44/7 × r = 6.6

➛ r = 6.6 × 7/44

➛ r = 66/10 × 7/44

➛ r = 6/10 × 7/4

➛ r = 3/10 × 7/2

➛ r = 21/20

➛ r = 1.05 m

∴ The radius of a circular wheel = 1.05 m

Now,

✭ Diameter = 2 × r ✭

Here,

• r is the radius of a circular wheel.

Putting the values in the formula, we have:

➤ Diameter = 2 × 1.05

➤ Diameter = 2.1 m

∴ The diameter of the wheel = 2.1 m

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