Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered Calculator

Calculate Efficiency of Screw Jack















Formula

The formula to calculate the Efficiency is:

\[ \eta = \frac{W \cdot \tan(\psi) \cdot d}{W_{\text{load}} \cdot \tan(\psi + \Phi) \cdot d + \mu_{\text{collar}} \cdot W_{\text{load}} \cdot R_{\text{collar}}} \]

Definition

The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \eta = \frac{60 \cdot \tan(0.4363323129985) \cdot 0.06}{53 \cdot \tan(0.4363323129985 + 0.21816615649925) \cdot 0.06 + 0.16 \cdot 53 \cdot 0.02} = 0.643256958272496 \]

Conversion Chart

Weight (W) Helix Angle (ψ) Mean Diameter of Screw (d) Load (Wload) Limiting Angle of Friction (Φ) Coefficient of Friction for Collar (μcollar) Mean Radius of Collar (Rcollar) Efficiency (η)
55 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.589652211750
56 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.600373161054
57 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.611094110359
58 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.621815059663
59 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.632536008968
60 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.643256958272
61 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.653977907577
62 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.664698856882
63 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.675419806186
64 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.686140755491
65 kg 0.4363323129985 rad 0.06 m 53 N 0.21816615649925 rad 0.16 0.02 m 0.696861704795