A sine bar with a 200 mm center distance is used with a 50 mm slip gauge height. Which principle is used to determine the angle?
It is based on the ratio of slip gauge height to the center distance of sine bar.
A sine bar sets an angle by resting on slip gauges, forming a right triangle whose hypotenuse is the centre distance of the sine bar.
The slip gauge stack height is the side opposite the angle, so the angle is found from \(\sin\theta = \dfrac{H}{L}\), where H is the slip gauge height and L the centre distance.
Here \(\sin\theta = \dfrac{50}{200} = 0.25\), confirming the angle depends on the ratio of slip gauge height to centre distance.
It is therefore not the product, the sum, or the reverse ratio of centre distance to height.
Hence, the answer is It is based on the ratio of slip gauge height to the center distance of sine bar.
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