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A 30-degree kick is to be fabricated with a rise of 8 inches on a piece of 1-inch RMC. The outside diameter (OD) is equal to 1.315 inches. The bender has a take-up of 9¾ inches and a gain of 4¼ inches.

What will be the distance between mark 1 and mark 2? ______________

What will be the distance between mark 2 and mark 3? ______________

Answer :

Final answer:

To calculate the distances between marks in the 30 degree kick, we need to determine the radius of the bend and the arc length. The distance between mark and mark 2 is 8.3421 inches and the distance between mark 2 and mark 3 is 5.8421 inches.

Explanation:

To calculate the distance between mark and mark 2 on the 30 degree kick, we need to determine the radius of the bend and the arc length using the given information. The radius of 1 inch RMC is half of the outer diameter, which is 1.315 inches divided by 2. We can use the formula: radius = diameter / 2. So the radius is 0.6575 inches.

Next, we can calculate the arc length using the formula: arc length = angle (in radians) × radius. Since the angle is given in degrees, we need to convert it to radians by multiplying by π/180. So, the arc length is (30 × π / 180) × 0.6575 = 0.3421 inches.

The distance between mark and mark 2 will be the arc length plus the rise, which is 0.3421 + 8 = 8.3421 inches. The distance between mark 2 and mark 3 will be the arc length plus the take-up minus the gain, which is 0.3421 + 9 ¾ - 4 ¼ = 5.8421 inches.

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