According to Taggart’s empirical relation for jaw and gyratory crushers (gape 10–60 cm), the capacity in kg/hr is proportional to which expression in terms of L (feed opening length, cm) and S (maximum discharge opening width, cm)?

Introduction / Context:Rules of thumb help make preliminary crusher selections. Taggart provided correlations linking crusher capacity to opening dimensions for common primary crushers.

Given Data / Assumptions:

• Applicable for jaw and gyratory crushers with gape 10–60 cm.
• Units: capacity in kg/hr; L and S in centimeters.

Concept / Approach:The empirical proportionality incorporates a constant with dimensional effect so that capacity scales with both feed opening length and discharge width. The commonly cited form uses a factor on the order of 250 for kg/hr when dimensions are in cm, recognizing variability with material and operating conditions.

Step-by-Step Solution:Identify the capacity proportional to opening area L*S.Apply Taggart’s empirical constant for the stated unit system.Select “250 L S.”

Verification / Alternative check:Preliminary sizing examples in handbooks often back-calculate similar constants for average ores; detailed sizing still requires throughput, bulk density, and power checks.

Why Other Options Are Wrong:Bare L S lacks unit scaling.93 L S underestimates capacity for the given units; L/S or S/L are dimensionally inconsistent.

Common Pitfalls:Using empirical constants outside their intended unit systems or feed characteristics.

Final Answer:250 L S