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MathsRetard09
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Homework Statement
I am required to use calculus to show that a flywheel has constant retardation
Prior to this I have found the initial angular velocity which is 60rad/s and the angular velocity after 2s which is 58.667rad/s
Homework Equations
pi=60t-(t^2)/3
dpi/dt = 60 - 2t/3
The Attempt at a Solution
I didn't use calculus at the time because i found it easier to do this owever didn't get an accurate answer:
If t = 4s then:
dpi/dt = 60-2(4)/3
= 57.333rad/s
If t = 6s then:
dpi/dt = 60-2(6)/3
= 56rad/s
At this point i discovered a pattern so immediatly doubled the 6s to 12s to see if i got another even answer, thefore if t = 12s then:
dpi/dt = 60(12)/3
= 52rad/s
if t = 18s then:
dpi/dt = 60 - 2(18)/3
= 48 rad/s
So i know every 6s the flywheel retards by 4rad/s
However this isn't the correct approach and isn't using calculus and I am having trouble trying to understand my notes when i did do this months ago.
Please help me out, it's simple stuff but I just can't for the life of me remember how to do this.
Thanks in advance.