A wedge is a simple machine that is essentially two inclined planes. It is used to separate objects, such as in the head of an axe. The mechanical advantage of a wedge is given by MA = L/t where L is t the length of the wedge and t is the thickness. Which of these designs produces the highest mechanical advantage? (1 point)

A length of 16 in. and a thickness of 4 in.
A length of 6 in. and a thickness of 2 in.
A length of 5 in. and a thickness of 5 in.
A length of 12 in. and a thickness of 2 in.

1 answer

To determine the design that produces the highest mechanical advantage, we need to calculate the mechanical advantage for each design using the formula MA = L/t.

For the first design, length = 16 in. and thickness = 4 in. Therefore, MA = 16/4 = 4.

For the second design, length = 6 in. and thickness = 2 in. Therefore, MA = 6/2 = 3.

For the third design, length = 5 in. and thickness = 5 in. Therefore, MA = 5/5 = 1.

For the fourth design, length = 12 in. and thickness = 2 in. Therefore, MA = 12/2 = 6.

Thus, the design that produces the highest mechanical advantage is a length of 12 in. and a thickness of 2 in.
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