Question

The field contains a length of 200 m and width of 150 m which has a wheel of radius 100cm.How many revolutions Will a wheel of radius 100cm make in going around the field only once?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the number of revolutions a wheel with a radius of 100 cm will make in going around the field once, we first need to find the circumference of the wheel.

The circumference of a circle is given by the formula:
C = 2πr

where r is the radius of the circle.

In this case, the radius of the wheel is 100 cm, so the circumference of the wheel is:
C = 2π(100) = 200π cm

Next, we need to calculate the distance around the field, which is the perimeter of the field:

Perimeter = 2(length + width)
Perimeter = 2(200 + 150) = 700 m

Now we can calculate the number of revolutions the wheel will make in going around the field once:

Number of revolutions = distance traveled by the wheel / circumference of the wheel
Number of revolutions = 70000 cm / 200π cm ≈ 111 revolutions

Therefore, a wheel with a radius of 100 cm will make approximately 111 revolutions in going around the field once.