We present experimental heat transport measurements of turbulent Rayleigh-B'{e}nard convection with rotation about a vertical axis. The fluid, water with Prandtl number () about 6, was confined in a cell which had a square cross section of 7.3 cm7.3 cm and a height of 9.4 cm. Heat transport was measured for Rayleigh numbers Ra $ < 5\times 10^80 << 5\times 10^{9}$. We show the variation of normalized heat transport, the Nusselt number, at fixed dimensional rotation rate , at fixed Ra varying Ta, at fixed Ta varying Ra, and at fixed Rossby number Ro. The scaling of heat transport in the range to about is roughly 0.29 with a Ro dependent coefficient or equivalently is also well fit by a combination of power laws of the form . The range of Ra is not sufficient to differentiate single power law or combined power law scaling. The overall impact of rotation on heat transport in turbulent convection is assessed.

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