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  • A thin metal sheet is to be measured using a screw gauge. The main scale reading is 2.0 mm, and the circular scale is divided into 100 divisions. The pitch of the screw gauge (p) is 0.25 mm. The sc

A thin metal sheet is to be measured using a screw gauge. The main scale reading is 2.0 mm, and the circular scale is divided into 100 divisions. The pitch of the screw gauge (p) is 0.25 mm. The screw gauge has a positive zero error of 0.03 mm.

Calculate the thickness of the metal sheet.

Option: 1

2.0mm


Option: 2

36.5 mm


Option: 3

24.7 mm


Option: 4

26.97 mm


Answers (1)

best_answer

Given: Main scale reading = 2.0 mm

Number of circular scale divisions = 100

Pitch of screw gauge (p) = 0.25 mm

Positive zero error (Z.E.) = 0.03 mm

The actual reading on the circular scale (C.S.R.) is given by:

\text { C.S.R. }=\frac{\text { Number of circular scale divisions }}{\text { Number of main scale divisions }} \times \text { Pitch }Plugging in the values:

\text { C.S.R. }=\frac{10}{1} \times 0.5 \mathrm{~mm}=5 \mathrm{~mm}

The corrected reading is the difference between the circular scale reading and the zero error:

Corrected reading = C.S.R. − Z.E.

Plugging in the values:

Corrected reading = 25 mm − 0.03 mm = 24.97 mm

The total reading is the sum of the main scale reading and the corrected reading:

Total reading = Main scale reading + Corrected reading Plugging in the values:

Total reading = 2.0 mm + 24.97 mm = 26.97 mm

Therefore, the thickness of the metal sheet is 26.97 mm. Therefore, the correct option is 4.

Posted by

Gautam harsolia

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