The tire on Frank Bike moves 75 inches in one rotation. how many rotations will the tire have made after Frank rides 50 feet

50 * 12 = 600 inches

600 / 75 = ?

To find out how many rotations the tire on Frank's bike will have made after he rides 50 feet, we need to convert the distance from feet to inches and then divide it by the circumference of the tire.

First, let's convert 50 feet to inches. Since 1 foot is equal to 12 inches, we can calculate:

50 feet * 12 inches/foot = 600 inches

Now, we need to divide the total distance traveled by the circumference of the tire to find the number of rotations. The circumference of a circle can be found using the formula:

Circumference = 2 * π * radius

However, we are given the distance the tire moves in one rotation, so we need to find the radius first.

The equation for the circumference of a circle can be rearranged to solve for the radius:

Circumference = 2 * π * radius
radius = Circumference / (2 * π)

Since we know the tire moves 75 inches in one rotation, we can calculate the radius:

radius = 75 inches / (2 * π) ≈ 11.96 inches

Now, we can calculate the number of rotations:

Number of rotations = Total distance / Circumference

Number of rotations = 600 inches / (2 * π * 11.96 inches)

After simplifying the expression, we can calculate:

Number of rotations ≈ 600 / (2 * 3.14 * 11.96)
≈ 600 / (75.04)
≈ 7.99 rotations

Therefore, the tire on Frank's bike would have made approximately 7.99 rotations after Frank rides 50 feet.