Force at Circumference of Screw given Helix Angle and Coefficient of Friction Calculator

Calculate Force at Circumference of Screw







Formula

The formula to calculate the Force Required is:

\[ F = W \left( \frac{\sin(\psi) + \mu_{friction} \cos(\psi)}{\cos(\psi) - \mu_{friction} \sin(\psi)} \right) \]

Definition

Force Required is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.

Example Calculation

Let's assume the following values:

Using the formula:

\[ F = 60 \left( \frac{\sin(0.4363323129985) + 0.4 \cos(0.4363323129985)}{\cos(0.4363323129985) - 0.4 \sin(0.4363323129985)} \right) = 63.8966603008098 \text{ N} \]

Conversion Chart

Weight (W) Helix Angle (ψ) Coefficient of Friction (μ) Force Required (F)
55 kg 0.4363323129985 rad 0.4 58.571938609076 N
56 kg 0.4363323129985 rad 0.4 59.636882947422 N
57 kg 0.4363323129985 rad 0.4 60.701827285769 N
58 kg 0.4363323129985 rad 0.4 61.766771624116 N
59 kg 0.4363323129985 rad 0.4 62.831715962463 N
60 kg 0.4363323129985 rad 0.4 63.896660300810 N
61 kg 0.4363323129985 rad 0.4 64.961604639157 N
62 kg 0.4363323129985 rad 0.4 66.026548977503 N
63 kg 0.4363323129985 rad 0.4 67.091493315850 N
64 kg 0.4363323129985 rad 0.4 68.156437654197 N
65 kg 0.4363323129985 rad 0.4 69.221381992544 N