A major physical process shaping bedrock landforms in fluvial, coastal, and aeolian environments is abrasion by sediment‐carrying fluid flows. A unifying formula to describe the rate of abrasion occurring in these environments has not been presented, the exploration of which is the purpose of this study. Considering the threshold concept the formulation is made including erosivity of fluid flows and erodibility of bedrock. The formula is described as dΓ/dt = C [(FA/FR) – 1], where Γ is the amount of erosion, i.e. eroded length (distance), volume, mass, or weight, t is the time, dΓ/dt is the erosion rate, FA (= A x [fluid force]) is the assailing force of sediment‐laden fluid flows used as an index of the flow erosivity, FR (= B x [bedrock strength]) is the resisting force representing the bedrock erodibility, C is a coefficient with the same unit as that of dΓ/dt, and A and B are dimensionless coefficients. The equation is confirmed by existing laboratory abrasion data and its applicability is examined using existing laboratory data of fluvial and aeolian abrasion experiments and field data from a coastal area. Examinations applying fluvial and aeolian abrasion data indicate that the coefficient C is found to represent the amount of sediment working as abrasives in fluid flows and the hardness of sediment relative to bedrock; and A is presented to reflect the particle size of the sediment. The coefficient B is a conversion factor from conventional mechanical strength of rocks to the resisting force. Selecting appropriate physical quantities for FA and FR enables the application of this equation to abrasion studies on various landforms in these environments. © 2018 John Wiley & Sons, Ltd.