Question

A square power take off shaft with 1 1/4 inch sides needs to be covered with a round guard the guard should have at least a half inch clearance at all points what should the inside diameter of the guard be___________

Answer 1

The inside diameter of the guard should be at least 2.77 inches to provide a half-inch clearance around a square power take off shaft with 1 1/4 inch sides.

Step-by-step explanation:

To determine the correct inside diameter for the guard to cover a square power take off shaft with 1 1/4 inch sides, we need to consider the diagonal length of the shaft since it is the widest point that the round guard will have to encompass. As the shaft has 1 1/4 inch sides, applying the Pythagorean theorem to the square, the diagonal (d) is d = √(1.25² + 1.25²). The diagonal then calculates to approximately 1.77 inches. Since we need at least a half-inch clearance, we should add 1 inch to the diagonal measurement to account for this clearance on both sides (1/2 inch on each side). Therefore, the minimum inside diameter of the guard should be the diagonal plus the clearance, which is 1.77 + 1 = 2.77 inches. Thus, the inside diameter of the guard should be at least 2.77 inches to provide the necessary clearance.