Lead of Screw Given Overall Efficiency Calculator

Formula Used:

\[ L = \frac{2 \pi \eta M_t}{W_a} \]

Efficiency of Power Screw (η):

(0-1)

Torsional Moment on Screw (M_t):

N·m

Axial Load on Screw (W_a):

Lead of Power Screw (L):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Lead of Power Screw?

Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified. It determines the mechanical advantage and speed of linear motion in screw mechanisms.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{2 \pi \eta M_t}{W_a} \]

Where:

\( L \) — Lead of Power Screw (m)
\( \pi \) — Mathematical constant pi (≈3.1416)
\( \eta \) — Efficiency of power screw (0-1)
\( M_t \) — Torsional moment on screw (N·m)
\( W_a \) — Axial load on screw (N)

Explanation: This formula calculates the linear travel per revolution based on the screw's efficiency, applied torque, and axial load.

3. Importance of Lead Calculation

Details: Accurate lead calculation is crucial for designing power screw systems, determining mechanical advantage, speed of operation, and overall system efficiency in various mechanical applications.

4. Using the Calculator

Tips: Enter efficiency (0-1), torsional moment in N·m, and axial load in N. All values must be valid (efficiency between 0-1, torsional moment > 0, axial load > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the typical efficiency range for power screws?
A: Efficiency typically ranges from 0.3 to 0.9 depending on thread type, lubrication, and materials used.

Q2: How does lead affect mechanical advantage?
A: Smaller lead provides greater mechanical advantage but slower linear speed, while larger lead provides faster speed but less mechanical advantage.

Q3: What factors affect power screw efficiency?
A: Thread geometry, friction coefficient, lubrication, material pairing, and load conditions all affect efficiency.

Q4: When is this calculation most important?
A: This calculation is critical in screw jack design, linear actuators, presses, and other applications where precise linear motion control is required.

Q5: How does torsional moment relate to axial load?
A: Torsional moment is the torque required to overcome friction and move the axial load, with the relationship depending on the screw's efficiency and lead.