Question

An inclined plane rises to a height of 2m over a distance of 6m.calculate

Answer 1

The ideal mechanical advantage (IMA) of the inclined plane, which rises to a height of 2 meters over a horizontal distance of 6 meters, is calculated to be 3.

Step-by-step explanation:

The student's question involves calculating the ideal mechanical advantage (IMA) of an inclined plane. The IMA of an inclined plane is the ratio of the length of the slope (the distance along the incline) to the vertical height the incline covers. In this case, the inclined plane rises to a height of 2 meters over a horizontal distance of 6 meters.

Calculating the IMA:

1. Identify the length of the incline (slope length), which is 6 meters.
2. Identify the height of the incline, which is 2 meters.
3. Use the formula IMA = slope length / height.
4. Substitute the known values into the formula: IMA = 6 m / 2 m = 3.

Therefore, the ideal mechanical advantage of the inclined plane is 3.

Answer 2

The angle of inclination of the plane is determined as 18.4⁰.

How to calculate the angle of inclination?

The angle of inclination of the plane is calculated by applying the following formula as shown below;

tan θ = opposite leg / adjacent leg

The given parameters include;

the opposite leg of the right triangle = 2 m

the adjacent leg of the right triangle = 6 m

tan θ = 2 m / 6 m

tan θ = 0.333

θ = arc tan (0.333)

θ = 18.4⁰

The complete question is below:

an inclined plane rises to a height of 2m over a distance of 6m.calculate the inclination of the plane.