The wheel of a cart is making 5 revolutions per second.

Question:

The wheel of a cart is making 5 revolutions per second. If the diameter of the wheel is 84 cm, find its speed in km per hour.

 

Solution:

Distance covered in 1 revolution $=\pi \times d$

$=\left(\frac{22}{7} \times 84\right) \mathrm{cm}$

$=264 \mathrm{~cm}$

Distance covered in 1 second $=(5 \times 264) \mathrm{cm}$

$=1320 \mathrm{~cm}$

Distance covered in 1 hour $=(60 \times 60 \times 1320) \mathrm{cm}$

$=4752000 \mathrm{~cm}$

$=\left(\frac{4752000}{1000 \times 100}\right) \mathrm{km}$

$=47.52 \mathrm{~km}$

 

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