Question

A cart wheel makes 1000 rotations to cover 1.57 km. Find the diameter of the wheel. (π≈3.14)
Diameter of the wheel =_
m

Answer 1

Answer: 0.5 m

Step-by-step explanation:

If 1000 rotations of a  cart wheel is 1.57 km, then:

1 rotation would be 1.57/1000 km or 1.57 meters

We know that, 1 rotation is the circumference of the cart wheel:

Therefore, 1.57 = 2πr => 1.57 = 2*3.14*r => 1.57 = 6.28r

r = 1.57/6.28 = 0.25 m

Therefore, diameter = 2r = 0.5 m

Answer 2

Answer:

∴ Diameter of a cart wheel is $0.50$ m.

Step-by-step explanation:

• In context to question asked,
• We have to find the diameter of the wheel.
• It is given that, a cart wheel makes $1000$ rotations to cover $1.57$ km.  
• Rotation of a wheel is nothing but the circumference of a wheel.
• So, $1000$ rotations to cover $1.57$ km.
• We have to convert km into m.

• We know that, $1$ km = $1000$ m

     $1.57$ km = $1.57*1000=1570$ m

• Now, one rotation i.e. circumference = $\frac{1570}{1000}$

                              $2\pi r$ = $1.57$ m

                               ∴ $r=\frac{1.57}{2*3.14}$

                               ∴ $r=0.25$ m

• Now, diameter is twice of the radius.

      Diameter = $2*r$

                    = $2*0.25$

                    = $0.50$ m

• ∴ Diameter of a cart wheel is $0.50$ m.