Question

A field contains a of length 200 m and width of 150 cm Wich has a wheel of radius 100 m.how many revolutions Will a wheel of 100cm make in going around the field?

Answer 1

[AI-generated answer — Bot GPT 3.5]

First we need to convert the dimensions of the field from meters to centimeters so that they are in the same units as the wheel's radius:

Length of field = 200 m = 20000 cm
Width of field = 150 cm
Radius of wheel = 100 cm

To find the circumference of the field, we can use the formula for the circumference of a rectangle:

Circumference = 2 x (length + width)
Circumference = 2 x (20000 cm + 150 cm)
Circumference = 2 x 20150 cm
Circumference = 40300 cm

Now we can find the number of revolutions the wheel will make in going around the field by dividing the circumference of the field by the circumference of the wheel:

Number of revolutions = Circumference of field / Circumference of wheel
Number of revolutions = 40300 cm / (2 x π x 100 cm)
Number of revolutions ≈ 40300 cm / (2 x 3.14 x 100 cm)
Number of revolutions ≈ 64.21

Therefore, the wheel of 100 cm radius will make approximately 64 revolutions in going around the field.