3. A ceiling fan is spinning at 0.9 rev/sec when you turn down the switch. The fan's angular speed decreases at a rate of 0.2 rev/s² for 3 seconds. a. What is the angular speed at the end of the three seconds? b. How many revolutions does the fan undergo as the angular speed changes? Assume the angular acceleration is constant. c. During this slowing process there will be a particular time when the angular speed is 0.5 rev/s. What is the angular speed and angular acceleration in rad/s and rad/s² at this time? d. The arm of the fan is 0.6 m long. What is the speed of a point on the tip of the fan when the angular speed 0.5 rev/s? e. What is the centripetal acceleration of the tip of the fan at this time? f. What is the magnitude of the tangential acceleration of the tip of the fan at this time? g. What is the angle between the acceleration and velocity vectors of a point on the rim at this time?

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3. A ceiling fan is spinning at 0.9 rev/sec when you turn down the switch. The fan's angular speed decreases at a rate
of 0.2 rev/s² for 3 seconds.
a. What is the angular speed at the end of the three seconds?
b. How many revolutions does the fan undergo as the angular speed changes? Assume the angular acceleration is
constant.
c. During this slowing process there will be a particular time when the angular speed is 0.5 rev/s. What is the
angular speed and angular acceleration in rad/s and rad/s² at this time?
d. The arm of the fan is 0.6 m long. What is the speed of a point on the tip of the fan when the angular speed 0.5
rev/s?
e. What is the centripetal acceleration of the tip of the fan at this time?
f. What is the magnitude of the tangential acceleration of the tip of the fan at this time?
g. What is the angle between the acceleration and velocity vectors of a point on the rim at this time?
Transcribed Image Text:3. A ceiling fan is spinning at 0.9 rev/sec when you turn down the switch. The fan's angular speed decreases at a rate of 0.2 rev/s² for 3 seconds. a. What is the angular speed at the end of the three seconds? b. How many revolutions does the fan undergo as the angular speed changes? Assume the angular acceleration is constant. c. During this slowing process there will be a particular time when the angular speed is 0.5 rev/s. What is the angular speed and angular acceleration in rad/s and rad/s² at this time? d. The arm of the fan is 0.6 m long. What is the speed of a point on the tip of the fan when the angular speed 0.5 rev/s? e. What is the centripetal acceleration of the tip of the fan at this time? f. What is the magnitude of the tangential acceleration of the tip of the fan at this time? g. What is the angle between the acceleration and velocity vectors of a point on the rim at this time?
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