Question

the diameter of the wheel of a cart is 1.05 m how much distance will the cart cover in 1000 rotations of the wheels​

Answer 1

Answer

3300m/3.3km

Step-by-step explanation:

Circumference of wheel=2×22/7×1.05/2

=3.3m

Distance covered=3.3m×1000=3300m/3.3km

Answer 2

Given:-

• Diameter of a wheel cart = 1.05 m

To Find:-

• Distance will the cart cover if its wheel makes 1000 complete revolutions.

Formula used:-

• ${\boxed{\sf{Circumference\:of\:Circle=2\pi r}}}$

Solution:-

Firstly,

$\sf :\implies\:Radius = \dfrac{Diameter}{2}$

$\sf :\implies\:Radius = \dfrac{10.5}{2}$

$\sf :\implies\:Radius = \dfrac{105}{20}$

$\sf :\implies\:Radius = \dfrac{21}{4}m$

Now,

Distance travelled by wheel in one revolution:-

$\sf :\implies\:Circumference\:of\:Wheel=2\pi r$

$\sf :\implies\:Circumference\:of\:Wheel=2\times \dfrac{22}{7}\times \dfrac{21}{4}$

$\sf :\implies\:Circumference\:of\:Wheel=11 \times3$

$\sf :\implies\:Circumference\:of\:Wheel=33m$

Now,

Distance travelled by wheel in 1000 revolution:-

$\sf :\implies\:33\times1000$

$\sf :\implies\:33,000$

Hence, The Cart cover 33,000m or 33km if its wheel makes 1000 complete revolutions.

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