The circular head of the screw gauge is divided into 20 divisions and the screw moves 1 mm ahead in two rotations of the head of the screw. Find its least count
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Answers
Answer :-
Least count of the screw gauge is 0.025 mm .
Explanation :-
We have :-
→ Number of divisions = 20
→ Distance moved = 1 mm
→ Number of rotations = 2
To find :-
→ Least count of the screww gauge .
______________________________
Firstly, let's calculate the pitch of the screw gauge from the given values.
Pitch = Distance moved/No of rotations
⇒ Pitch = 1/2
⇒ Pitch = 0.5 mm
Now, we know that least count of a screw gauge is given by :-
Least count = Pitch/No of divisions
⇒ Least count = 0.5/20
⇒ Least count = 5/200
⇒ Least count = 0.025 mm
Given :-
The circular head of the screw gauge is divided into 20 divisions and the screw moves 1 mm ahead in two rotations of the head of the screw.
To Find :-
Least count
Solution :-
Screw is moving 1mm in two rotation
So, in a rotation it will move = 1/2 = 0.5 mm
Now
Finding the least count
Least count = Distance covered in 1 rotation/Total division in it
Least count = 0.5/20
Least count = 5/20 × 1/10
Least count = 5/200
Least count = 0.025 mm
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