To convert watts to horsepower you need to know that 1 horsepower is equal to 746 watts, then:
![2500\text{ watts}*\frac{1\text{ HP}}{746\text{ watts}}=3.35\text{ HP}](https://img.qammunity.org/2023/formulas/mathematics/college/iy5ely1plxe7eg6j4wm2ye5bsd1x5fhbbf.png)
You also know that the fan requires 2 1/2 HP, which is equal to:
![2(1)/(2)=(4)/(2)+(1)/(2)=(5)/(2)=2.5\text{ HP}](https://img.qammunity.org/2023/formulas/mathematics/college/dce4w31r3mugv4x0yfv38lc654ooh1inba.png)
Thus, the motor produces more power than the required to drive the fan. The answer is Yes, it can be used to drive the fan