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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