The motor M begins rotating at
ω
m
= 4(1 – e
t
) rad/s,
where t is in seconds.
The radii of the motor, fan
pulleys, and fan blades are 1 in, 4 in, and 16 in,
respectively. Find the magnitudes of the velocity and
acceleration at point P on the fan blade when t = 0.5 s.
Find angular acceleration of motor
IC16.1 – Fan Drive
What is your first step?
Solution:
Problem Type:
Find:
Given:
Figure and ω(t), radius of pulleys and fan t=0.5 sec
v
p
and 
a
p
 at t=0.5 sec
Rigid Body Kinematics, Fixed Axis Rotation
Reflection:
In circular motion all points may have different acceleration and
velocity, but the rigid bodies have one angular velocity and angular
acceleration at a particular time.
Pulleys can be used to increase
and/or decrease rotational speed
What are the values of ω and α at t=0.5 seconds
Since the belt does not slip (and is assumed inextensible), it must have the same
speed and tangential component of acceleration at all points.
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 Spring '05
 staff
 Angular Momentum, Rigid Body, Rotation, Angular velocity, Angular Acceleration, Velocity

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