Harold uses an inclined plane to move a washing machine from the sidewalk into his house. The vertical distance from the sidewalk to the house is 0.8 meters. If the plane has a mechanical advantage of 2.3, how long is the plane?
The length of the inclined plane is 0.35 meters.
To find the length of the inclined plane, we can use the formula for mechanical advantage (MA) of an inclined plane, which is defined as the ratio of the length of the inclined plane (L) to the vertical height (h).
The formula for mechanical advantage (MA) is:
MA = L / h
Given that the mechanical advantage (MA) is 2.3 and the vertical height (h) is 0.8 meters, we can rearrange the formula and solve for the length of the inclined plane (L).
L = MA * h
L = 2.3 * 0.8
L = 1.84 meters
Therefore, the length of the inclined plane is 1.84 meters.
To find the length of the inclined plane, we can use the formula for mechanical advantage:
Mechanical Advantage = Length of the incline / Vertical distance
Given that the mechanical advantage is 2.3 and the vertical distance is 0.8 meters, we can set up the equation:
2.3 = Length of the incline / 0.8
To solve for the length of the incline, we can multiply both sides of the equation by 0.8:
2.3 * 0.8 = Length of the incline
This simplifies to:
1.84 = Length of the incline
Therefore, the length of the inclined plane is 1.84 meters.