Determine the height of slip gauge for an angle of 30° using sine bar of 200 mm long. 

Concept:

Slip gauges:

• Slip gauges are gauge blocks used as standards for precision length measurement.
• These are made in sets and consist of a number of hardened blocks, made of high-grade steel with low thermal expansion.
• They are hardened throughout, and heat treated further for stabilization.
• The two opposite measuring faces of each block are lapped flat and parallel to a definite size within extremely close tolerances.

Sin θ = \(\frac{height~ of~ slip~ gauge}{Length~of~sine~bar}\)

Calculation:

Given:

Length of the sine bar = 200 mm, θ = 30°

∵ Sin θ = \(\frac{height~ of~ slip~ gauge}{Length~of~sine~bar}\)

⇒ Sin 30° = \(\frac{height~ of~ slip~ gauge}{200}\)

⇒ \(\frac{1}{2}\) = \(\frac{height~ of~ slip~ gauge}{200}\)

⇒ Height of the slip guage = 100 mm