Final answer:
To find how far a bicycle with a 16-inch diameter tire will travel in 75 rotations, calculate the circumference and multiply it by 75. The circumference (C = πd) of the tire is multiplied by the number of rotations to obtain the total distance traveled.
Step-by-step explanation:
The question relates to circumference of a circle and rolling motion in the subject of mathematics. To determine how far a bicycle will travel in 75 rotations with a tire diameter of 16 inches, one would use the circumference formula, which is C = πd, where C is the circumference and d is the diameter. First, calculate the circumference of one rotation: C = π × 16 inches.
Once you have the circumference, multiply it by the number of rotations to find the total distance traveled: Distance = Circumference × Number of Rotations. In this case, Distance = C × 75.
After performing the calculations, simplify the result to express the distance the bike will travel in a linear unit of measurement, such as inches, feet, or miles, depending on the requirement.