Jaw/gyratory crusher capacity correlation: capacity in tons per hour is approximately equal to which expression? (L = length of receiving opening, cm; S = greater width of discharge opening, cm)

Introduction / Context:
Crusher sizing often uses empirical capacity correlations involving receiving and discharge opening dimensions. For jaw and gyratory crushers, a widely cited rule-of-thumb relates capacity to the product L * S multiplied by a constant.

Given Data / Assumptions:

• L: length of receiving opening in cm.
• S: greater width of discharge opening in cm.
• Capacity in tons per hour is proportional to L * S with an empirical coefficient near 0.087.

Concept / Approach:
The correlation embodies average performance over typical operating ranges and bulk densities. It is not a replacement for detailed manufacturer curves, but it serves as a screening estimate in preliminary design and equipment comparison.

Step-by-Step Solution:
Write the empirical form: Capacity ≈ k * L * S.Use k ≈ 0.087 (ton·hr^−1 per cm^2) for jaw/gyratory crushers in standard units.Select '0.087 * L * S' as the correct expression.

Verification / Alternative check:
Comparisons with manufacturer specifications show reasonable agreement for mid-range settings; detailed sizing still requires feed characteristics and RPM.

Why Other Options Are Wrong:
0.01 * L * S underestimates; L * S or L * S / 0.087 grossly overestimate capacity.

Common Pitfalls:
Treating the correlation as exact without considering material friability, moisture, and crusher speed, which all affect throughput.

Final Answer:
0.087 * L * S