Question

The diameter of a wheel of a bullock cart is 1.4 m. How much distance will be

covered if the wheel completes 750 rotations? (Choose two correct options)

(1) 3300 m (2) 4400 m

(3) 3.3 km (4) 4.40 km​

Answer 1

Answer:

In one rotation cover the distance = 2πR

where R is radius of wheel

so

distance covered by one rotation= 2 * (22/7) * (1.4/2) m

= (2*22*14)/(7*10*2)

= (2*22)/10

= 4.4 m

distance covered by one rotation of wheel = 4.4 m

so

distance covered by 750 rotations of wheel= 4.4*750

= 3300 m

= 3.3 km

so the correct options are

(1) 3300 m and (3) 3.3 km

Answer 2

Answer:

Option (1) and (3)

The distance covered is 3300 m (3.3 km).

Step-by-step explanation:

Solution:

Diameter = 1.4 m

Rotations = 750 rotations

• Find the circumference of the wheel :

$\sf{\longrightarrow} \: 2\pi r$

$\sf{\longrightarrow} \: 2 \times \dfrac{22}{7} \times \dfrac{1.4}{2}$

$\sf{\longrightarrow} \: 2 \times \dfrac{22}{7} \times 0.7$

$\sf{\longrightarrow} \: 2 \times 22 \times 0.1$

$\sf{\longrightarrow} \: 4.4$

Circumference = 4.4 m

• Distance covered:

$\sf{\longrightarrow} \: Circumference \times Rotations$

$\sf{\longrightarrow} \:4.4 \times 750$

$\sf{\longrightarrow} \:3300 \: m$

Therefore, the distance covered is 3300 m (3.3 km).