There has been recent interest in accelerating black hole solutions of Einstein-Maxwell theory due to the remarkable property that they uplift smoothly into 11d supergravity when the black hole horizon has the topology of a “spindle”. In this talk I will discuss the thermodynamics of accelerating black holes in AdS_4: I will explain how to generalize the allowed boundary conditions at conformal infinity in order to apply the covariant phase space formalism to such solutions. This will allow for a formal derivation of the conserved charges of the solution and a first law of accelerating black hole mechanics, improving upon previous forms of the law which contained ambiguities due to the lack of a well-posed variational problem. I will conclude with some applications of the first law when the black hole horizon is a spindle and comment on the nature of the supersymmetry and extremality conditions. This talk is based on https://arxiv.org/pdf/2306.16187.pdf in collaboration with Hyojoong Kim, Nakwoo Kim and Yein Lee.