Final answer:
The Ideal Mechanical Advantage (IMA) of a screw with a radius of 0.5 inches and a pitch of 0.75 inches is calculated by dividing the lever arm length (which is the circumference of the head of the screw) by the pitch. From the provided formula IMA = (2πr) / pitch, the IMA is approximately 5.59, which does not match any of the provided answer choices, indicating a possible error in the question or choices.
Step-by-step explanation:
The question is asking to determine the Ideal Mechanical Advantage (IMA) of a screw, which is a simple machine. For screws, the IMA can be calculated using the formula IMA = length of the lever arm divided by the pitch of the screw. Given that the screw has a radius of 0.5 inches (meaning the lever arm length is the circumference: 2πr which equals 2π×0.5 inches), and a pitch of 0.75 inches, we can calculate the IMA.
To find the IMA: The formula becomes IMA = (2π×0.5) / 0.75 = π / 0.75. Calculating this gives us an IMA of approximately 4.19 / 0.75 = 5.59. Since this value is not within the answer choices provided, we need to check if there was a misconception or typographical error in the formulation of the answer options.