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A true centrifugal casting operation is to be performed horizontally to make copper-tube sections with outer diameter = 25 cm and inner diameter = 20 cm. What rotational)speed is required if a G-factor of 70 is used to Cast the tubing?
1. 708.14 rev/min
2. 617.17 rev/min
3. 800.00 rev/min
4. 912.25 rev/min

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Correct Answer - Option 1 : 708.14 rev/min

Concept:

G-factor is the ratio of centrifugal force to weight:

 \(G =\frac{F_c}{mg} = \frac{mr\omega^2}{mg}\)

Calculation:

Given:

G-factor = 70, do = 25 cm = 0.25 m, g = 10 m/s2

\(G =\frac{F_c}{mg} = \frac{mr\omega^2}{mg}\)

For horizontal centrifugal casting, the outer radius is considered during the calculation.

\(G = \frac{mr\omega^2}{mg} = \frac{d_o}{2g}\left ( \frac{2\pi N}{60}\right )^2=70\)

N = \(\sqrt{\frac{2\times70\times10}{0.25}}\times\frac{60}{2\pi}\)

N = 714.60 \(\approx\) 708.14 rpm

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