  Lorentz-violating type-II Weyl fermions, which were missed in Weyl's
prediction of nowadays classified type-I Weyl fermions in quantum field theory,
have recently been proposed in condensed matter systems. The semimetals hosting
type-II Weyl fermions offer a rare platform for realizing many exotic physical
phenomena that are different from type-I Weyl systems. Here we construct the
acoustic version of type-II Weyl Hamiltonian by stacking one-dimensional
dimerized chains of acoustic resonators. This acoustic type-II Weyl system
exhibits distinct features in finite density of states and unique transport
properties of Fermi-arc-like surface states. In a certain momentum space
direction, the velocity of these surface states are determined by the tilting
direction of the type-II Weyl nodes, rather than the chirality dictated by the
Chern number. Our study also provides an approach of constructing acoustic
topological phases at different dimensions with the same building blocks.
