Question

You have a round power-takeoff shaft. The inside diameter of the guard is 3.5 inches. You need at atleast 1/2 inch clearance at all points. What is the largest square power-takeoff shaft that can be used with this guard

Answer 1

The largest square power-takeoff shaft that can be used with the guard is 1.25 inches in length.

Step-by-step explanation:

In order to determine the largest square power-takeoff shaft that can be used with this guard, we need to consider the clearance required around the shaft. The inside diameter of the guard is 3.5 inches, and we need at least 1/2 inch clearance at all points.

To find the largest square power-takeoff shaft, we need to find the maximum side length that will fit inside the guard while still leaving the required clearance.

The diameter of a circle is twice the radius. Therefore, the inside diameter of the guard is equal to twice the length of the side of the square power-takeoff shaft plus the clearance on both sides. Let's solve this equation:

1. Inside diameter = 3.5 inches
2. Clearance on both sides = 1/2 inch
3. Let's represent the side length of the square power-takeoff shaft as 'x'
4. We can write the equation: 2x + 1 = 3.5
5. Subtract 1 from both sides: 2x = 2.5
6. Divide both sides by 2: x = 1.25

The maximum side length, 'x', of the square power-takeoff shaft that can be used with this guard is 1.25 inches.