The formula to calculate the Efficiency of Inclined Plane is:
\[ \eta = \frac{\cot(\alpha_i + \Phi) - \cot(\theta_e)}{\cot(\alpha_i) - \cot(\theta_e)} \]
Efficiency of Inclined Plane tells us what fraction of the input energy (kinetic energy) does useful work (lifting). Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another measured in degrees or radians. The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN). Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.
Let's assume the following values:
Using the formula:
\[ \eta = \frac{\cot(0.40142572795862 + 0.03490658503988) - \cot(1.4835298641949)}{\cot(0.40142572795862) - \cot(1.4835298641949)} = 0.906829118672584 \]
The Efficiency is 0.906829118672584.
| Angle of Inclination (Radians) | Limiting Angle of Friction (Radians) | Angle of Effort (Radians) | Efficiency |
|---|---|---|---|
| 0.3 | 0.03490658503988 | 1.4835298641949 | 0.885763803492610 |
| 0.35 | 0.03490658503988 | 1.4835298641949 | 0.897788705972846 |
| 0.4 | 0.03490658503988 | 1.4835298641949 | 0.906613979895840 |
| 0.45 | 0.03490658503988 | 1.4835298641949 | 0.913181734463667 |
| 0.5 | 0.03490658503988 | 1.4835298641949 | 0.918071591750407 |