Question

diameter of a wheel is 0.70 m how many rotations will the wheel complete in traveling a distance of 2.2 km
​

Answer 1

Given :

• Diameter of wheel = 0.7 m
• Distance covered = 2.2 km = 2200m

To find :

Number of rotation wheel make to cover 2.2 km

Let :

Number of rotation = n

Formula used :

• Circumference of circle = 2πr
• Distance covered by circle = Number of Rotation× circumference of circle

Solution :

◈ Circumference of wheel = 2π (0.7)

➠ Circumference of wheel = 2 × (22/7) × 0.7

➠ Circumference of wheel = 4.4m

◈ Distance covered by circle = Number of Rotation× circumference of circle

➠ 2200m = n × 4.4m

➠ n = 2200 ÷ 4.4

➠ n = 500

ANSWER :

Number of rotation wheel makes (n) = 500

Answer 2

• The wheel will rotate 1000 times to complete the distance of 2.2 km.

Step-by-step explanation:

Given that:

• Diameter of a wheel of a vehicle = 0.70 m
• Total distance = 2.2 km

To Find:

• How many rotations will the wheel complete in travelling a distance of 2.2 km?

formulas used:

• Circumference of a circle = π × Diameter
• 1 km = 1000 m
• Number of rotation = (Total distance)/(Circumference)

Finding the circumference of the wheel:

We know that.

Circumference of a circle = π × Diameter

Circumference = (22 × 0.70)/7

Circumference = 2.2

∴ The circumference of the wheel = 2.2 m

Converting the total distance in m:

We know that.

1 km = 1000 m

2.2 km = (2.2 × 1000) m

2.2 km = 2200 m

Finding the number of rotations taken by wheel to complete the distance:

Number of rotation = (Total distance)/(Circumference)

Number of rotation = 2200/2.2

Number of rotation = 1000

• ∴ The number of rotations taken by wheel to complete the distance = 1000.