Subtopic: Measurement of force, stress, torque, speed, displacement and acceleration on machine elements – shafts, couplings, keys, bearings and knuckle joints
Question Statement:
Identify the dimensionless parameter(s) from the following:
Options:
(A) Cone index
(B) Puddling index
(C) Performance index
(D) Reel index
Official Answer Key:
B, D
Step-by-Step Solution & Explanation
Cone index (A) is a pressure-type quantity (force per unit base area of the cone penetrometer, units N/cm² or kPa) — NOT dimensionless. Puddling index (B) is typically expressed as a ratio (e.g., of bulk density reduction or of puddled to unpuddled soil property), which is dimensionless. Performance index (C), as used for farm machinery (e.g., work output per unit fuel/energy), generally carries units (e.g., ha/L or similar) — not dimensionless in the way defined here. Reel index (D) is defined as the ratio of the peripheral speed of the reel to the forward speed of the machine — a ratio of two speeds, hence dimensionless. Answer: (B) and (D).
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