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A screw gauge with a pitch of 1 mm has 1...

A screw gauge with a pitch of 1 mm has 100 divisions on its circular scale. What it is used to measure the diameter of a thin wire, the main scale reading is 3 mm and the circular scale reading is 45. If D is the diameter of the wire in mm, then find the value of D.

Text Solution

Verified by Experts

The correct Answer is:
3.45
Least count `= ("Pitch ")/( "No. of division ") = (1 mm)/(100) = 0.01 mm `
Diameter of wire main scale + circular scale reading
= 3 mm+ (L. C) `xx` No. of division
= 3 mm + 0.01 `xx` 45
D = 3.45 mm
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Knowledge Check

  • The pitch of a screw gauge is 1mm and its cap is divided into 100 divisions. When this screw gauge is used to measure the diameter of a wire, then main scale reading is 2 mm and 58^(th) division of circular scale coincides with the main scale. There is no zero error in the screw gage. Then the diameter of the wire is

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