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physics problem

 
 
Reply Mon 9 Apr, 2012 04:57 pm
A fan blade, initially at rest rotates with a constant acceleration of 0.025 rad/s2. What is the angular velocity at the instant the blade reaches an angular displacement of 4.2 radians?
Answer
a. 1.2 rad/s
b. 0.025 rad/s
c. 0.11 rad/s
d. 0.46 rad/s


For the fan blade described in the question above, how much time does it take to reach the angular displacement of 4.2 radians?
Answer
a. 1.8 seconds
b. 2.0 seconds
c. 18 seconds
d. 16 seconds


For the situation described in the first question, if the radius of the fan blade is 0.3 meters, how fast is the tip of the blade moving when the angular velocity reaches 2.0 rad/s?
Answer
a. 0.3 m/s
b. 2.0 m/s
c. 6.7 m/s seconds
d. 0.6 m/s
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Type: Question • Score: 1 • Views: 5,555 • Replies: 1
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engineer
 
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Reply Mon 9 Apr, 2012 06:44 pm
@sarahsilva,
Displacement = 1/2 Acceleration x time^2
Velocity = Initial velocity + Acceleration x time
Tip velocity = angular velocity x length

Question 2
4.2 radians = 1/2 ( .025 radians / second^2) * t^2
336 seconds^2 = t^2
t = 18.34 seconds (c)

Question 1
Velocity = .025 radians/sec^2 x 18.34 seconds = 0.46 radians/sec (d)

Question 3
Tip velocity = 2 radians/sec * 0.3m = 0.6 m/s (d)
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