
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A flywheel has a radius of $3 \mathrm{~m}$ and a mass of $6000 \mathrm{~kg}$. The mass is mainly distributed in the ring around the rim. For an approximate calculation, the moments of inertia of the spokes and axle are neglected. The wheel's rotational speed is $n=800$ revolutions per minute. If a driving machine takes 3 minutes to bring the wheel from rest to the mentioned full rotational speed, what is the power (in horsepower) of the driving machine if it performs no other work during this process?

Present the answer in LaTex format: \boxed{Your answer}
user