# Numerical - Taper angle - Metrology & Quality Control

Q.  Calculate the taper angle, if 8 mm and 12 mm are the diameters of A and B balls respectively. Ball A is at a height of 25 mm from the horizontal ground surface and B at 15 mm.
- Published on 07 Aug 15

a. 14.47o
b. 28.95o
c. 7.23o
d. None of the above

#### Discussion

• Devi   -Posted on 14 Nov 21
Very useful, please share these type of short cut formulas which is used to solve problems.in exams there we are loosing marks.thank you so much to share above information.
• C.MANIKANDAN   -Posted on 29 Apr 20
sir,
thanks for your reputed answering methodology. it is helpful us to teach the students in efficient and effective manner.
thanking you sir.
• Sravanthi   -Posted on 13 Oct 15
Given: Diameter of ball B = r2 = 12, diameter of ball A = r1= 8 mm, height of ball A from datum surface = 25 mm, height of ball B from datum surface = 15 mm.

In this method, one side is vertical to the datum surface and other surface is inclined. Two balls of different diameters are placed in the slot and the height of thee two balls from the datum is measured to determine the the taper angle.

Radius =r2 = diameter / 2 = 12 / 2 = 6 mm
Radius =r1 = 8 /2 = 4 mm

Substituting the given values in the formula, we get

sin Φ = (r2 – r1) / [ (h2 – h1) – (r2 – r1)]
sin Φ = (6 – 4) / [(25 – 15) – (6 – 4)]

sin Φ = 0.25
Φ = 14.47°

Therefore, taper angle 2 Φ = 28.95°

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