Copyright

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

Answer and Explanation:

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...

See full answer below.

Become a Study.com member to unlock this answer! Create your account

View this answer

Learn more about this topic:

Rotational Kinematics: Definition & Equations

from UExcel Physics: Study Guide & Test Prep

Chapter 7 / Lesson 2
13K

Related to this Question

Explore our homework questions and answer library