Complete and submit the assignment below then you can procee

Complete and submit the assignment below; then you can proceed onto the next lesson.

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. In your own words, explain the difference between 1 radian and 1 degree.

Solution

If the fan motor rotates with angular speed , costant

The motion of fan is rotation. But for every particle velocity(V) is different and calculated by considering their circular motion.

Then , relation in uniform circular motion , V = r = constant

Then V is directly proportional to r.

So when diameter of fan blades increases -> radius increases and hence velocity of particle at tip of baldes increases.

--------->> Difference between 1 radian and 1° :-

Degree is simply angular measurement.

Radian is the measurement that is based of circle radius. Basically , if you take r distance and wrap around outside of circle , then the angle formed that covers radius is said to be 1 radian. It takes almost 3 radians to half a circle , exactly it is 3.14 radian thats why radian.

Simply , 2r = 360° => r =180°

1 radian = 1 r = 180/ = 180/3.14 = 57.295°