The motor M begins rotating atωm= 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 motorIC16.1 – Fan DriveWhat is your first step? Solution:Problem Type: Find:Given: Figure and ω(t), radius of pulleys and fan t=0.5 sec|vp|and |ap| at t=0.5 secRigid Body Kinematics, Fixed Axis RotationReflection: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 speedWhat are the values of ω and α at t=0.5 secondsSince 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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