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A flange mounted shear pin is used on a shaft as a safety device. The steel shear pin has a diameter of 2.38 mm and is to be mounted on the flange of shaft rotating at 650 rpm. The maximum power transmitted by the shaft is 4.5 KW. If the shear strength of material of pin is 30 MPa, the radial distance of its mounting is ____

(a) 5.02 mm

(b) 11.98 mm

(c) 47.94 mm

(d) 301.20 mm

The question was posed to me by my school principal while I was bunking the class.

The doubt is from Numericals on Estimation of Tractor Power in section Tillage, Disc Plough & Numericals of Farm Machinery

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Right answer is (c) 47.94 mm

Explanation: Kw = 8.225 * N * rs * d^2 * Ss * 10^-8

4.5 = 8.225 * 650 * rs * (2.38)^2 * 310

rs = 47.94 mm.

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