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GATE2015-2-37

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A hollow shaft of $1 \: m$ length is designed to transmit a power of $30\: kW$ at $700 \text{rpm}$. The maximum permissible angle of twist in the shaft is $1^{\circ}$. The inner diameter of the shaft is $0.7$ times the outer diameter. The modulus of rigidity is $80 \: GPa$. The outside diameter (in $mm$) of the shaft is__________
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