There are a lot of variables to be considered... Static weight of platform, maximum payload, safety factor, gear ratio, loaded travel speed, etc...Why not ask the manufacturer?
Many manufacturers publish their maximum payloads and travel speeds, so you should be able to get some idea by a simple comparison.
Use the rate of change of potential energy of the hoist and its maximum loss, and divide by the overall efficiency of the mechanism including the prime mover. Next!
"The consumed electrical power of the motor is defined by the following formula:
Pin = I * V
where Pin - input power, measured in watts (W);
I - current, measured in amperes (A);
V - applied voltage, measured in volts (V).
Motors supposed to do some work and two important values define how powerful the motor is. It is motor speed and torque - the turning force of the motor. Output mechanical power of the motor could be calculated by using the following formula:
Pout = τ * ω
where Pout - output power, measured in watts (W);
τ - torque, measured in Newton meters (N•m);
ω - angular speed, measured in radians per second (rad/s).
It is easy to calculate angular speed if you know rotational speed of the motor in rpm:
ω = rpm * 2π / 60
where ω - angular speed, measured in radians per second (rad/s);
rpm - rotational speed in revolutions per minute;
π - mathematical constant pi (3.14).
60 - number of seconds in a minute.
If the motor has 100% efficiency all electrical power is converted to mechanical energy. However such motors do not exist. .... motors ... have maximum efficiency of 50-60%."
"Efficiency of the motor is calculated as mechanical output power divided by electrical input power: