Question
Download Solution PDFA toothed wheel of module 6 mm and 60 teeth rotates at 100 rpm. Find the peripheral speed of the gear wheel in m/sec
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
-
The formula for calculating the peripheral speed of a gear wheel is:
V = π × D × N / 60
where v is the peripheral speed in m/sec, D is the pitch diameter of the gear wheel in meters, and N is the rotational speed of the gear wheel in revolutions per minute (rpm).
Calculations:
Given:
- Diameter of car Wheel (D)= module× no of teeth = 6× 60 =360mm
- Rotating Speed (N) = 60 RPM
On changing the unit of questions
- Radius = Diameter/2
- mm to m = mm/1000
Now:
- Radis= 360/2 = 180mm
- 180mm/1000 = 0.18m
peripheral speed of a gear wheel V = π × D × N / 60
V =π × 0.36 × 60 / 60 = 0.6 π
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