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Fan has an 8" pulley turning at 850RPM the drive is 5" what RPM is the motor turning at

2 Answers

5 votes

Final answer:

Using the pulley ratio principle, the RPM of the motor is calculated to be 1360 RPM when the fan's 8" pulley is turning at 850 RPM, and the drive (motor's pulley) is 5".

Step-by-step explanation:

To find the RPM of the motor driving a fan via a pulley system, we can use the principle of pulley ratios. This principle tells us that the product of the diameter of the pulley attached to the motor (Dm) and the RPM of the motor (RPMm) will be equal to the product of the diameter of the pulley attached to the fan (Df) and the RPM of the fan (RPMf).

To solve for the RPM of the motor (RPMm), we can use the formula:

RPMm = (Df * RPMf) / Dm

Given our fan's pulley diameter is 8 inches and turns at 850 RPM, and the motor's pulley is 5 inches, the equation would be:

RPMm = (8" * 850 RPM) / 5"

Calculating this, we get:

RPMm = (6800) / 5

RPMm = 1360 RPM

Therefore, the motor is turning at 1360 RPM.

User Hakazvaka
by
7.7k points
6 votes

Final answer:

The motor is turning at 1360 RPM.

Step-by-step explanation:

To find the RPM of the motor, we can use the formula:

RPMmotor = RPMpulley x (Dpulley / Dmotor)

From the given information, the RPM of the pulley is 850 and the diameter of the pulley (Dpulley) is 8 inches. The diameter of the motor (Dmotor) is 5 inches. Plugging these values into the formula, we get:

RPMmotor = 850 x (8 / 5) = 1360

Therefore, the motor is turning at 1360 RPM.

User Mushtaq Ahmed
by
6.5k points