Final answer:
To find the number of revolutions a wheel will make to travel a distance of 11 km, divide the distance by the circumference of the wheel. In this case, the wheel has a radius of 0.25 m. The number of revolutions is 7,006.37.
Step-by-step explanation:
To find the number of revolutions the wheel will make to travel a distance of 11 km, we need to first calculate 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 is 0.25 m, so the circumference is C = 2π(0.25) = 1.57 m.
Next, we need to convert the distance of 11 km into meters, since the circumference is measured in meters.
1 km is equal to 1000 m, so 11 km is equal to 11,000 m.
Finally, we can calculate the number of revolutions by dividing the distance traveled by the circumference of the wheel:
number of revolutions = distance/circumference
= 11,000 m/1.57 m
= 7,006.37 revolutions (rounded to the nearest whole number).