Question #290489



A valve box casting of mass 30 kg is secured to the faceplate of a lathe in such a position that its



center of gravity is 100 mm radially from the center of rotation and 115mm axially from the surface



of the surface of the faceplate. Calculate the radius @ which to fix a counterbalance of 13 kg.




1
Expert's answer
2022-01-25T13:25:45-0500

Explanation & Calculation


  • To achieve rotational stability, the fictitious centripetal forces should be tallied during the rotation.

m1r1ω2=m2r2ω2r2=30kg×100mm13kg=230.8mm\qquad\qquad \begin{aligned} \small m_1r_1\omega^2&=\small m_2r_2\omega^2\\ \small r_2&=\small \frac{30\,kg\times100\,mm}{13\,kg}\\ &=\small 230.8\,mm \end{aligned}

  • It should be at a location 230.8mm\small 230.8\,mm radially and 115mm\small 115\,mm axially from the centre of rotation.

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