A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure

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A screw gauge with a pitch of 0.5 mm and a circular scale...

A screw gauge with a pitch of $0.5 \mathrm{~mm}$ and a circular scale with 50 divisions is used to measure the thick= ness of a thin sheet of Aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the $45^{\text {th }}$ division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is $0.5 \mathrm{~mm}$ and the $25^{\text {th }}$ division coincides with the main scale line? (A) $0.80 \mathrm{~mm}$ (B) $0.70 \mathrm{~mm}$ (C) $0.50 \mathrm{~mm}$ (D) $0.75 \mathrm{~mm}$

A screw gauge with a pitch of $0.5 \mathrm{~mm}$ and a circular scale with 50 divisions is used to measure the thick= ness of a thin sheet of Aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the $45^{\text {th }}$ division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is $0.5 \mathrm{~mm}$ and the $25^{\text {th }}$ division coincides with the main scale line?
(A) $0.80 \mathrm{~mm}$
(B) $0.70 \mathrm{~mm}$
(C) $0.50 \mathrm{~mm}$
(D) $0.75 \mathrm{~mm}$

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Key Concepts

Screw Gauge

A screw gauge is a precision instrument used to measure small dimensions with high accuracy. It operates by converting the rotational movement of a screw into linear motion, allowing small distances to be accurately measured between its jaws.

Pitch

The pitch of a screw gauge is the distance the spindle moves linearly in one full rotation of the screw. It is a fundamental property used to determine the least count of the instrument.

Least Count

The least count is the smallest reading or measurement that can be taken using the instrument. For a screw gauge, it is calculated by dividing the pitch by the number of circular scale divisions, providing the resolution of the measurement.

Zero Error

Zero error is the discrepancy that occurs when the measuring instrument does not read zero even when the component being measured is absent. It must be taken into account and corrected to ensure the accuracy of the measurement.

Measurement Correction

Measurement correction involves accounting for any errors, such as zero error, by adjusting the raw measurement to obtain the true reading. This step is crucial in precision measurement to ensure that the final value reflects the actual dimension being measured.

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