anonymous
  • anonymous
The prop. blade of an airplane is 2.80ft, and rotates @ 2200 r/min. What is the linear velocity of a point on the tip of the blade?
Trigonometry
katieb
  • katieb
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anonymous
  • anonymous
https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/relationship-between-angular-velocity-and-speed
zpupster
  • zpupster
Use \[v=\omega(r)=\theta/t(r)\] \[\theta = 2\pi rad\] t= 1 rev r = .5(2.8)
anonymous
  • anonymous
so them telling me the length of the blade holds no grounds?

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wolf1728
  • wolf1728
Will have to look up how to calculate linear velocity.
anonymous
  • anonymous
all I could find was angular velocity , and after about 2 hours on a simple problem hat
anonymous
  • anonymous
isnt linear velocity the speed of the circumference?
anonymous
  • anonymous
speed over time
anonymous
  • anonymous
I know there's a relationship between the two.
wolf1728
  • wolf1728
I found this: The formula for finding linear velocity is v = x / t. The x variable is distance traveled, and t is the time it took to travel the distance x. The v variable is the linear velocity. radius = 1.4 feet If prop rotates at 2,200 rev/min that equals 36.666 rev for every second Each turn of the prop means that the tip has traveled 1.4 *2*PI = 8.7964594301 feet Multiplying this by 36.666 rev per second equals 322.54 feet per second.
wolf1728
  • wolf1728
The distance from the prop center to the tip is half of 2.8 or 1.4 for each turn of the prop the tip must travel 1.4*2*PI feet.
anonymous
  • anonymous
so we take 2.80 and multiply in 1/2, that gives us half the blade length which is 1.4 ft. is that 1.4x2xpie?
wolf1728
  • wolf1728
which equals 8.7964594301 feet
anonymous
  • anonymous
now is that ft per second?
wolf1728
  • wolf1728
eventually it is feet per second. At this point we are only determining the distance traveled - which is 8.796 feet
anonymous
  • anonymous
persistence pays off i found my page
anonymous
  • anonymous
I'd like to thank ehuman and wolf1728, I couldn't have done it without you!
anonymous
  • anonymous
wait what am I talking about, im not done here.
zpupster
  • zpupster
(2200revs/min)(2 pi rad/rev)(1.4ft)=? that is the equation you need
zpupster
  • zpupster
compare it to what i gave you before

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