To determine the number of revolutions a soccer ball has turned as it moves a linear distance of 20 meters, we need to calculate the distance covered in one revolution and then divide the total linear distance by that value.
The circumference of a circle is given by the formula: C = 2πr, where C is the circumference and r is the radius.
In this case, the diameter of the soccer ball is given as 35 cm. To calculate the radius (r), we divide the diameter by 2:
r = 35 cm / 2 = 17.5 cm = 0.175 m
The distance covered in one revolution is equal to the circumference of the soccer ball:
C = 2πr = 2 * 3.14159 * 0.175 m ≈ 1.0996 m
Now, we can determine the number of revolutions by dividing the total linear distance covered (20 m) by the distance covered in one revolution:
Number of revolutions = Total linear distance / Distance covered in one revolution
Number of revolutions = 20 m / 1.0996 m ≈ 18.198
Therefore, the soccer ball has turned approximately 18.198 revolutions as it moves a linear distance of 20 meters.