Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction Calculator

Calculate Effort Required to Move





Formula

The formula to calculate the Effort Required to Move Neglecting Friction is:

\[ P_0 = W \cdot \sin(\alpha_i) \]

Definition

Effort Required to Move Neglecting Friction is the force required to move the body up/down the plane neglecting friction. Weight of Body is the force acting on the object due to gravity. Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another measured in degrees or radians.

Example Calculation

Let's assume the following values:

Using the formula:

\[ P_0 = 120 \cdot \sin(0.40142572795862) = 46.8877354187045 \]

The Effort Required is 46.8877354187045 Newtons.

Conversion Chart

Weight (Newtons) Angle of Inclination (Radians) Effort Required (Newtons)
100 0.40142572795862 39.073112848920402
105 0.40142572795862 41.026768491366418
110 0.40142572795862 42.980424133812441
115 0.40142572795862 44.934079776258457
120 0.40142572795862 46.887735418704480
125 0.40142572795862 48.841391061150496
130 0.40142572795862 50.795046703596519
135 0.40142572795862 52.748702346042542
140 0.40142572795862 54.702357988488558