A hollow shaft of 1 m length is designed to transmit a power

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A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is 1°. 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 ______.

1. 45 mm
2. 44.5213 mm
3. 43.613 mm
4. 46.7213 mm

Correct Option: B

P = Tω30 × 1000 = T ×	2π × 700
	60

∴ T = 409.256 N– m

T	=	Gθ
I_p	=	l