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A cyclist moving on a level road

  • Thread starter norhh
  • Start date
  • #1
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Homework Statement



a cyclist is moving on a level road at 4m/s stops pedaling and lets the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)

2. Homework Equations



The Attempt at a Solution

 

Answers and Replies

  • #2
uart
Science Advisor
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Homework Statement



a cyclist is moving on a level road at 4m/s stops pedaling and lets the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)
You understand that this is a differential equation right. You need to write an equation in the form:

[tex]\frac{dv}{dt} = -f(v)[/tex]
Are you able to write this equation? This is your starting point.


BTW. f(v) here is the total retardation as a function of velocity.
 
  • #3
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yes after that i do not know what to do
 
  • #4
uart
Science Advisor
2,776
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yes after that i do not know what to do
Rewrite it as:

[tex]\frac{dt}{dv} = \frac{-1}{f(v)}[/tex]

and integrate.
 
  • #5
Ray Vickson
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yes after that i do not know what to do
Are you saying you do not know how to solve a differential equation?

RGV
 
  • #6
vela
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Homework Statement



a cyclist is moving on a level road at 4m/s stops pedaling and lets the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)

2. Homework Equations



The Attempt at a Solution



yes after that i do not know what to do
Per the forum rules, you need to show more effort to receive help here.
 
  • #7
15
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finally got it thanks
 

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