A fan motor turns at a given angular speed. How does the angular speed of the tips of the blades change if a fan of greater diameter is installed on the motor? Explain.

Respuesta :

The equation for speed is distance/time. If the ends of the blades have to travel a farther distance due to the greater diameter of the blades the angular speed will decrease. Angular speed = larger number / original time

The explanation for what happens to the speed of the blade tips when the diameter is increased on the motor is;

The speed will increase because the speed is directly proportional to the radius.

  • In circular motion, the formula for the linear speed is given by the formula;

        v = rω

Where;

r is radius

ω is angular velocity

v is linear speed

The correct parameter to be found to either be increasing or decreasing is the speed.

  • Now, we are told that the angular velocity is given and that a fan of greater diameter is installed on the motor.

Diameter = 2 x radius

This means an increase in diameter is also an increase in radius.

  • From v = rω, we saw that speed is directly proportional to the radius and so the higher the radius, the higher the speed of the blade tips.

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