(a) L.C. of screw gauge =……………(b) Circular scale (thimble) reading = (c) Main scale (sleeve) rea

step 1 In this problem of unit and dimension we have given a figure let me show you first. So here is t

(a) L.C. of screw gauge =……………(b) Circular scale (thimble)...

(a) L.C. of screw gauge $=\ldots \ldots \ldots \ldots \ldots$ (b) Circular scale (thimble) reading $=$ (c) Main scale (sleeve) reading $\ldots \ldots \ldots \ldots \ldots \ldots$ (d) 'lhe diameter of the wire or total reading $=\ldots \ldots \ldots \ldots .$ (Given: Pitch of the screw gauge $=0.5 \mathrm{~mm} \&$ there are 50 divisions on the thimble.)

(a) L.C. of screw gauge $=\ldots \ldots \ldots \ldots \ldots$
(b) Circular scale (thimble) reading $=$
(c) Main scale (sleeve) reading
$\ldots \ldots \ldots \ldots \ldots \ldots$
(d) 'lhe diameter of the wire or total reading $=\ldots \ldots \ldots \ldots .$
(Given: Pitch of the screw gauge $=0.5 \mathrm{~mm} \&$ there are 50 divisions on the thimble.)

Key Concepts

Screw Gauge

A screw gauge is a precision instrument used to measure small dimensions with a high degree of accuracy. It consists of a calibrated screw, a thimble, and a sleeve. The screw moves the measuring jaw by a small, fixed distance with each rotation, allowing for the measurement of minute differences in dimensions.

Least Count

The least count is the smallest value that can be measured directly with an instrument. In a screw gauge, it is determined by dividing the pitch of the screw (the distance advanced per complete revolution) by the number of divisions on the circular scale (thimble). This value represents the instrument’s resolution and is essential for reading precise measurements.

Pitch

The pitch in the context of a screw gauge is the distance the spindle moves linearly for one full rotation of the screw. It is a critical parameter as it directly affects the smallest measurable unit or the least count of the instrument.

Circular Scale (Thimble) Reading

The circular scale, often referred to as the thimble, is marked with a number of divisions and rotates along with the screw. The reading on this scale indicates a fraction of the screw’s pitch. By knowing the value of each division (obtained by dividing the pitch by the number of divisions), one can ascertain the extra distance moved by the spindle beyond the main scale reading.

Main Scale (Sleeve) Reading

The main scale on the sleeve of the screw gauge provides the coarse measurement and forms the baseline reading. It is marked in larger units and its reading, when combined with the thimble’s finer measurement, gives the total measurement of the object being measured.

Total Reading

The total reading in a screw gauge is the sum of the main scale reading and the additional increment obtained from the circular scale reading. This combined measurement gives the final value, such as the diameter of a wire, by accurately incorporating both the coarse and fine measurements provided by the instrument.

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