Question

A boy is cycling such that the wheels of cycle are making 200 revolutions per minute if radius of the wheel is 14 cm find the speed per hour with which the boy was cycling

Answer 1

Answer:

Step-by-step explanation:circumference of wheel is 88cm

In 1/60hr the boy goes 17600cm

Therefore, in 1hr he goes 17600×60 cm= 1056000cm=10.10.56km

So speed of cycle =10.56km/hr

Answer 2

AnswEr :

• Radius of Wheel ( r ) = 14 cm
• 200 revolutions per minute.
• Find Speed of Cycle per hour.

• Distance travelled in 1 Revolution :

$\longrightarrow \tt Circumference = 1 \:Revolution \\ \\\longrightarrow \tt Circumference =2\pi r \\ \\\longrightarrow \tt Circumference =2 \times \dfrac{22}{ \cancel{7}} \times \cancel{14cm} \\ \\\longrightarrow \tt Circumference = 2 \times 22 \times 2cm \\ \\\longrightarrow \blue{\tt Circumference = 88 \:cm}$

$\rule{300}{1}$

• Total Distance travelled in 1 minute :

↠ Distance = Circumference × Revolutions

↠ Distance = 88 cm × 200

↠ Distance = 17600 cm

• Changing it into metre

↠ Distance = 176 metre

$\rule{300}{2}$

• Total Distance travelled in 1 hour :

↠ Distance = 176 metre × 1 Hour

↠ Distance = 176 m × 60

↠ Distance = 10560 m

• Changing it into Kilometre

↠ Distance = 10.56 Km

⠀

∴ Speed of Cycling will be 10.56 Km/hr

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