There isn't a direct relationship between power and weight of turbine.
Power is the rate of doing work, so a very small power source can do a lot of work, it will just do that work slowly.
If you've got a particular turbine in mind, look at it's rated power output range and then convert it to horsepower. Depending on what sort of turbine it is, there will be losses so you will need to put more power in than the specified power out, this would typically be 50% to 100% more.
What sort of turbine are you talking about and how are you powering it, and why is the input power source measured in horsepower? Are you trying to turn a wind turbine with a combustion engine?