A solid spherical particle with a radius of $1 \mathrm{~mm}$ and a density of $1.3 \mathrm{~g} / \mathrm{cm}^{3}$ is immersed in water in a centrifuge. If the particle is $10 \mathrm{~cm}$ from the axis of the centrifuge, which is rotating at ate of $100 \mathrm{rpm}$, what direction will the particle be traveling relative to a horizontal plane?