Final answer:
The work done in unwinding the chain on the drum is 158,760 J.
Step-by-step explanation:
To calculate the work done in unwinding the chain on the drum, we need to determine the gravitational potential energy that is converted to work. The formula for calculating gravitational potential energy is: PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. In this case, the height is the length of the chain, 30 m. Since the chain has a mass of 18 kg/m, the total mass is 18 kg/m * 30 m = 540 kg. The acceleration due to gravity is approximately 9.8 m/s². Therefore, the gravitational potential energy is PE = 540 kg * 9.8 m/s² * 30 m = 158,760 J. Finally, the work done in unwinding the chain on the drum is equal to the gravitational potential energy, which is 158,760 J.