Question:
If the double threaded square screw is having mean diameter \( 8\text{ cm} \) and pitch \( 2\text{ cm} \), then the lead of the double threaded square screw is
If the double threaded square screw is having mean diameter \( 8\text{ cm} \) and pitch \( 2\text{ cm} \), then the lead of the double threaded square screw is
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Always remember:
- Single-start thread: Lead = 1 \(\times\) Pitch
- Double-start thread: Lead = 2 \(\times\) Pitch
- Triple-start thread: Lead = 3 \(\times\) Pitch
The mean diameter value is often included as a distractor in these problems; you do not need it to find the lead!
Updated On: Jul 4, 2026
- \( 1\text{ cm} \)
- \( 2\text{ cm} \)
- \( 6\text{ cm} \)
- \( 4\text{ cm} \)
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The Correct Option is D
Solution and Explanation
Concept:
In the study of power screws and threaded fasteners, we distinguish between two key thread measurements:
• Pitch (\( p \)): The linear distance measured parallel to the axis of the screw between corresponding points on adjacent thread forms.
• Lead (\( L \)): The total linear distance a screw thread advances axially during one full \( 360^\circ \) rotation of the screw.
The fundamental mathematical relationship connecting these two parameters depends on the number of independent thread starts, denoted by \( n \): \[ \text{Lead } (L) = n \times \text{Pitch } (p) \]
Step 1: Extracting values from the problem statement.
Let us gather the parameters given in the problem:
• Mean diameter of the power screw, \( d_m = 8\text{ cm} \) (This is extra information not needed for calculating lead).
• Pitch of the screw thread pattern, \( p = 2\text{ cm} \)
• The problem states the screw is a
double threaded screw. This means the number of independent thread starts is precisely: \[ n = 2 \]
Step 2: Calculating the screw lead \( L \).
Substitute the thread start number \( n = 2 \) and pitch \( p = 2\text{ cm} \) into the formula: \[ L = n \times p \] \[ L = 2 \times 2\text{ cm} = 4\text{ cm} \] Thus, the calculated axial lead of the power screw is exactly \( 4\text{ cm} \). This matches option (D).
• Pitch (\( p \)): The linear distance measured parallel to the axis of the screw between corresponding points on adjacent thread forms.
• Lead (\( L \)): The total linear distance a screw thread advances axially during one full \( 360^\circ \) rotation of the screw.
The fundamental mathematical relationship connecting these two parameters depends on the number of independent thread starts, denoted by \( n \): \[ \text{Lead } (L) = n \times \text{Pitch } (p) \]
Step 1: Extracting values from the problem statement.
Let us gather the parameters given in the problem:
• Mean diameter of the power screw, \( d_m = 8\text{ cm} \) (This is extra information not needed for calculating lead).
• Pitch of the screw thread pattern, \( p = 2\text{ cm} \)
• The problem states the screw is a
double threaded screw. This means the number of independent thread starts is precisely: \[ n = 2 \]
Step 2: Calculating the screw lead \( L \).
Substitute the thread start number \( n = 2 \) and pitch \( p = 2\text{ cm} \) into the formula: \[ L = n \times p \] \[ L = 2 \times 2\text{ cm} = 4\text{ cm} \] Thus, the calculated axial lead of the power screw is exactly \( 4\text{ cm} \). This matches option (D).
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