Ramps and Math Part 1

By Sara, 10th Grader

Ramps are essential because they provide an inclined surface that allows objects and people to move from one level to another with less force than if the same things were lifted straight up.

By reducing the force needed to move objects, ramps make it easier for people with mobility impairments or those pushing heavy loads to access different building levels or navigate outdoor terrain. Think about what a different world it would be for many people if we didn’t have ramps!

Algebra is used to understand and calculate the slope of ramps. For example, the slope is expressed as the ratio of the rise (the vertical change in elevation) to the run. It can be calculated using an algebraic formula involving the coordinates of the endpoints of the ramp. For example, the slope of a ramp with endpoints (x1, y1) and (x2, y2) can be calculated as (y2-y1) divided by (x2-x1).

In addition, algebra can find the run, the ramp length needed to span a certain distance, and the rise, given the desired height. This involves solving equations that relate the ramp’s size, slope, rise, and run. Finally, algebra formulas can also calculate the force required to move an object up a ramp based on the slope’s angle and the object’s weight.

Ramp photo thanks to https://images.app.goo.gl/P4T6tjRr3tP2P5CU6

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