What is the correct formula to compute IMA for an inclined plane?

To compute the ideal mechanical advantage (IMA) for an inclined plane, the formula is derived from the relationship between the height of the inclined plane and its length. The ideal mechanical advantage represents how much a machine multiplies the input force under ideal conditions without considering friction.

The IMA of an inclined plane is determined by taking the length of the incline and dividing it by the height of the incline. This relationship allows you to understand how much the plane helps to lift an object against gravity. Specifically, a longer ramp means that less force is needed to lift an object to the same height; this is because the work done is spread over a longer distance.

In this context, the height represents how far the object is lifted vertically, while the length represents the distance along the incline that must be traveled. By dividing the length by the height, you get a measure of the mechanical advantage offered by the incline, reflecting the efficiency gained in moving the object upward.

Thus, using the formula that involves length divided by height effectively captures how inclined planes assist with lifting tasks by reducing the required input force.