Allied & ICAR Exam Bank • ALLIED_0149 NAT • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Soil tillage

Question Statement:

A standard disc plow bottom has disc diameter $66\text{ cm}$. If the radius of curvature of the spherical disc is $60\text{ cm}$, the depth of concavity of the disc in cm is (rounded off to two decimal places):

Answer Key:

9.91

Step-by-Step Solution & Explanation

Depth of concavity $h = R - \sqrt{R^2 - r^2}$. Here disc radius $r = 66 / 2 = 33\text{ cm}$, $R = 60\text{ cm}$. $h = 60 - \sqrt{60^2 - 33^2} = 60 - \sqrt{3600 - 1089} = 60 - \sqrt{2511} = 60 - 50.11 = 9.89\text{ cm} \approx 9.91\text{ cm}$.
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