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A belt \( 650 \) mm wide carries a load whose area is \( 8 \) per cent of the square of the belt width. The load area is

  • A.0.4225 m\(^2\)
  • B.0.0338 m\(^2\)
  • C.0.0520 m\(^2\)
  • D.0.0169 m\(^2\)

Answer: B

Correct answer: 0.0338 m\(^2\)

Apply the stated fraction to the square of the belt width, in metres:

\[ A = 0.08 \times (0.650)^2 = 0.08 \times 0.4225 = 0.0338\ \mathrm{m^2} \]

Rules of this form are used for a first estimate because the load area scales with the square of the width for a given trough geometry and surcharge angle. The coefficient itself depends on the idler troughing angle and on the material's surcharge angle, so it varies with the installation.

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