wheels are 1.25 inches in diameter and the fastest speed is 3ft/second maximum distance to travel is 16 x (18cm)
Yours does not appear to be a complete question.
How many times does a 1.25 inch wheel rotate in 24 feet?
To find the maximum distance that can be traveled, we need to calculate the circumference of the wheels using the given diameter, and then multiply it by the maximum number of rotations that can be made in the given distance.
First, let's calculate the circumference of the wheels. The formula for the circumference of a circle is C = π * d, where C is the circumference and d is the diameter.
The diameter of the wheels is given as 1.25 inches, so the radius (half of the diameter) is 1.25 / 2 = 0.625 inches.
Now, we need to convert the inches to feet to match the given speed. Since there are 12 inches in a foot, we divide the radius by 12 to get it in feet: 0.625 / 12 = 0.0520833 feet.
Next, we calculate the circumference using the formula: C = π * d = π * 0.0520833 * 2 ≈ 0.3271 feet.
Now, let's find out how many wheel rotations can be made in the given distance of 16 x 18 cm. Since the distance is given in centimeters, we need to convert it to feet.
First, convert centimeters to inches by dividing by 2.54 (since there are 2.54 centimeters in an inch): 16 x 18 / 2.54 ≈ 113.39 inches.
Then, convert inches to feet by dividing by 12: 113.39 / 12 ≈ 9.449 feet.
Finally, divide the total distance by the circumference of one rotation: 9.449 / 0.3271 ≈ 28.88 rotations.
Since we cannot have a partial rotation, the maximum number of full rotations is 28. Therefore, the maximum distance that can be traveled is 28 times the circumference of the wheels.
To find the maximum distance, multiply the circumference by the number of rotations: 28 * 0.3271 ≈ 9.137 feet.
Therefore, the maximum distance that can be traveled with the given wheel diameter and speed is approximately 9.137 feet.