How Does a Glass Fibre Flywheel Store Kinetic Energy in Buses?

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A glass fibre flywheel developed by BP captures kinetic energy from buses during braking, storing energy equivalent to that lost by a 16,000 kg bus stopping from 48 km/h. The flywheel operates at a maximum angular velocity of 16,000 revolutions per minute, with most of its mass concentrated in the rim. After a two-minute stop, four-fifths of the stored energy remains available for vehicle acceleration. The discussion highlights the importance of using correct units for calculations, particularly converting speed from km/h to m/s and angular velocity from revolutions per minute to radians per second. Participants are working through the calculations for kinetic energy, moment of inertia, and mean frictional torque related to the flywheel's operation.
  • #31
Katy96 said:
2Pi/60?

A poor guess. It's ##2\pi##. You could always have googled that!
 
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  • #32
Katy96 said:
so how do I change 48km/h into m/s? never mind I got it now!
Is editing a response as you type it a lost skill?

I see this so often it's ridiculous !
 
  • #33
PeroK said:
A poor guess. It's ##2\pi##. You could always have googled that!
okay well do I just divide by 2pi? because I thought you would do 16000X2pi/60
 
  • #34
Katy96 said:
okay well do I just divide by 2pi? because I thought you would do 16000X2pi/60

I see what you did. There are ##2\pi## radians in a revolution, so yes it's ##2\pi /60## to convert from revs per minute to radians per second.
 
  • #35
PeroK said:
I see what you did. There are ##2\pi## radians in a revolution, so yes it's ##2\pi /60## to convert from revs per minute to radians per second.
when I did that I got the right answer so in part c do I use vmax=rωmax or do I use I=0.606mr2
 
  • #36
Katy96 said:
when I did that I got the right answer so in part c do I use vmax=rωmax or do I use I=0.606mr2

Does that give the right answer?

I'm going offline now. Good luck with the rest of it.
 
  • #37
PeroK said:
Does that give the right answer?

I'm going offline now. Good luck with the rest of it.
thanks.
 
  • #38
Its just part e I'm struggling on now
 
  • #39
Katy96 said:
e) Determine also the

Katy96 said:
Its just part e I'm struggling on now
Yes. It is quite the conundrum.
 
  • #40
jbriggs444 said:
Yes. It is quite the conundrum.
sorry it meant to say Determine also the mean frictional torque causing the slowing down in the two minute stop.
 
  • #41
You know how much energy it had at the beginning of the two minute stop. You have already used that to calculate its angular velocity at that time.

The question tells you what fraction of the starting energy it has at the end of the two minute stop. How much energy is that? How fast does that mean that it must be rotating at the end of the two minutes?
 
  • #42
this is what I know, i need to use the change in the KE to find the final angular speed, and hence the angular deceleration, using the equations of angular motion and torque Important to show answer is negative, as result of deceleration
The force providing the centripetal acceleration acts towards the axis so cannot have a torque about it.and flywheel does not stop during the 2 mins.
 
  • #43
Katy96 said:
this is what I know, i need to use the change in the KE to find the final angular speed
Then there is a starting point. What is the change in KE?
 
  • #44
jbriggs444 said:
Then there is a starting point. What is the change in KE?
that's where I get stuck
 
  • #45
The problem statement says that four fifths of the flywheel's energy remains after two minutes.
 

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