how to solve 10

Question

6. shoes a roller with two sets of gauge blocks of 12,75mm each. The distance from the bottom of the groove to the top face is 70mm and the included angle of the groove is 60 degrees. 6.1. draw the diagram in the answer book 6.2. use the given dimensions and calculate the diameter of the roller.

Answer 1

(6.2)

The Diagram is drawn as follows

Let us Consider the radius of the roller be r.

Consider a part of figure from the above.

Apply the Trigonometric Rule, sin30 = (r / 70-(12.75-r))

0.5 = r / 70-(r - 12.75)

0.5(70-(r-12.75)) = r

35 - (0.5r - 6.375) = r

35 + 6.375 - 0.5r = r

41.375 = r + 0.5r

1.5 r = 41.375

r = 27.58

Diameter of the roller = 2 * 27.58 = 55.16 mm

Therefore the Diameter of the Roller is 55.16 mm.