The blades of a fan running at low speed turn at 240 rpm. When the fan is switched to high speed,...

Question:

The blades of a fan running at low speed turn at 240 rpm. When the fan is switched to high speed, the rotation rate increases uniformly to 370 rpm in 5.50 s.

(a) What is the magnitude of the angular acceleration of the blades?

(b) How many revolutions do the blades go through while the fan is accelerating?

Rotational Motion:

The equations of rotational motion are given by

{eq}i)\omega = \omega_o+\alpha t \\ ii)\theta = \omega_o t+\frac{1}{2} \alpha t^2 \\ iii)\omega ^2=\omega_o ^2 + 2 \alpha \theta {/eq}

• {eq}\omega \ and \ \omega_0 {/eq} are final and initial angular velocities.
• {eq}\theta {/eq} is the angle rotated by the body in time t
• {eq}\alpha {/eq} is the angular acceleration

Given that the blades of a fan running at low initial speed {eq}N_1 =240 rpm {/eq}. When the fan is switched to high speed, the rotation rate...

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