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A belt conveyor \( 60 \) m long carries \( 150 \) t/h against an effective friction force of \( 1.8 \) kN at \( 1.5 \) m/s. The power required is

  • A.2.7 kW
  • B.1.2 kW
  • C.108 kW
  • D.0.9 kW

Answer: A

Correct answer: 2.7 kW

Power is force times velocity:

\[ P = F v = 1800 \times 1.5 = 2700\ \mathrm{W} = 2.7\ \mathrm{kW} \]

Neither the length nor the tonnage enters directly - both are already accounted for in the effective friction force, which is what the belt drive must overcome. For a horizontal run this friction is the whole of the duty; an inclined belt would add the lifting power \( mgh/t \) on top.

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