Question
Download Solution PDFIn a typical vernier calliper, 50 divisions of the Vernier scale occupy 49 divisions on the main scale. While measuring the diameter of a rod, the main scale reading shows 24 mm and the 20th Vernier scale division coincides with the main scale. What is the diameter of the rod?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Vernier calipers:
- Vernier calipers are available with different accuracies.
- The selection of the vernier caliper depends on the accuracy needed and the size of the job to be measured.
- This accuracy/least count is determined by the graduations of the main scale and the vernier scale divisions.
Vernier Principle:
- The vernier principle states that two different scales are constructed on a single known length of line and the difference between them is taken for fine measurements.
Least count = 1 MSD - 1 VSD
Where, MSD = Main scale division, VSD = Vernier scale division
Calculation:
Given:
Least count = 1 mm - 49/50 mm = 1/50 mm = 0.02 mm.
∵ Main scale reading shows 24 mm and the 20th Vernier scale
division coincides with the main scale.
Main scale reading = 24 mm
The vernier division coinciding with the main scale is the 20th division, value = 20 x 0.02 mm = 0.4 mm
Reading = 24 + 0.4 = 24.4 mm
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