Flywheel rotation question.

  • Thread starter Arman777
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  • #1
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Homework Statement


[/B] A flywheel with a D=1.2m is rotating at an angular speed of 200 rev/min
(a) Whats the angular speed in rad/s ?
(b)Whats v=? in the point on the rim ?
(c)What const. ∝ ( in rev/min^2) will increase its angular speed to 1000 rev/min in 60 sec ?
(d)How many revolutions does the wheel make during that 60 sec ?

2. Homework Equations
Rotational Kinematics Equations


The Attempt at a Solution


[/B] I found a,b,c correctly (for long tries ) but I stucked at d.

I guess I ll use here ##Δθ=wt-1/2∝t^2##

(a) w=20.9 rad/s
(b)v=12.5
(c)=800 rev/min^2

Now for d,

lets to write all equaiton in rev/min form so
20.9rad/sec=20.9.2π.60=7879 rev/min
I dont know what will be the left part cause Δθ in units its normally just rev I guess so
θ-200rev/min=7879rev/min.1min+1/2 (800rev/min^2).(1 min)^2
Here I get a huge number...

Thank you
 

Answers and Replies

  • #2
35,127
11,365
20.9rad/sec=20.9.2π.60=7879 rev/min
You established before that 200 rev/min corresponds to 20.9 rad/s (which is correct). How can it correspond to a larger number of revolutions per minute now?
θ-200rev/min
You cannot subtract an angle and an angular velocity. That's like adding 3 meters to 1 minute: It does not make sense.

You can use the formula you posted, but it is probably easier to find the average angular velocity (in rev/min) and to use that.
 
  • #3
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You cannot subtract an angle and an angular velocity. That's like adding 3 meters to 1 minute: It does not make sense.
ohh I see...so I can convert 200rev/min to rev which its just 200 or ..I dont know ?
 
  • #4
35,127
11,365
You cannot "convert an angular velocity to revolutions" in the same way you cannot convert apples to minutes. There is no need for such a conversion. Your formula multiplies the angular velocity by a time. The product of those two is a number of revolutions or an angle, depending on which units you use.
 
  • #5
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ok then how can I found inital rev ? If other parts are correct ?
 
  • #6
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Your formula multiplies the angular velocity by a time. The product of those two is a number of revolutions or an angle, depending on which units you use.
oh I see...
 
  • #7
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Here my new try
Δθ=20.9 rad/s.60s-1/2.(0.035 rad/sec^2).(60sec)^2
Δθ=1317rad
 
  • #8
35,127
11,365
Your angular acceleration seems to be too low.
 
  • #11
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Thanks :smile::smile::smile::smile:
 

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