A towed pneumatic wheel (width to diameter ratio of 0.3) is to be rolled on a leveled concrete surface. Total wheel load is 2000 N. The force in N required to roll the wheel on the horizontal concrete surface would be
Options:
(A) 80
(B) 91
(C) 800
(D) 912
Official Answer Key:
A
Step-by-Step Solution & Explanation
On a rigid (concrete) surface, rolling resistance arises mainly from tyre-carcass hysteresis rather than soil deformation, and the coefficient of rolling resistance for a pneumatic tyre on a hard pavement is a small, near-constant value, typically taken as C_rr ≈ 0.04 in standard traction-mechanics references for this class of problem. Rolling resistance force = C_rr × W = 0.04 × 2000 = 80 N, matching option (A). Options (C)/(D) come from mistakenly using a soil-type (much higher) rolling resistance coefficient appropriate to loose/tilled ground rather than a rigid pavement.
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