Final answer:
The threaded length of a 2(5/8)-inch bolt is calculated using the formula '2 times diameter plus 1/4 inch'. The bolt's diameter in improper fraction form is 21/8 inches, and after applying the formula, the threaded length is found to be 5(1/2) inches.
Step-by-step explanation:
The threaded length of a threaded fastener is important for ensuring that the bolt is properly engaged and securely fastened. To calculate the threaded length of a 2(5/8)-inch bolt, we use the formula given, which states that the threaded length is 2 times the diameter of the fastener plus 1/4 inch. Since the diameter of the bolt is 2(5/8) inches, we first convert this to an improper fraction to make the calculations easier.
- Convert 2(5/8) to an improper fraction: 2(5/8)= (2 × 8) / 8 + 5 / 8 = 21 / 8 inches.
- Multiply by 2: 21 / 8 × 2 = 42 / 8.
- Add 1/4 inch: 42 / 8 + 1 / 4 = 42 / 8 + 2 / 8 = 44 / 8.
- Simplify the fraction: 44 / 8 = 5(1/2) inches.
Therefore, the threaded length of a 2(5/8)-inch bolt is 5(1/2) inches.