Step 1: Recall the purpose of a synchro.
A synchro is an electromechanical device used to transmit or measure the angular position of a rotating shaft.
Step 2: Identify the measured quantity.
Since a synchro converts shaft rotation into an electrical signal,
\[
\boxed{\text{It is mainly used for measuring angular displacement.}}
\]
Hence,
\[
\boxed{(B)}
\]
is the correct answer.
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