home > q&a board > physics > topic: banked curved formulas

Q BgQuestion:

Rookie
Karma Points: 0
Respect (100%):
posted by  yanna on 9/1/2008 3:36:06 AM  |  status: Live  

banked curved formulas

Course Textbook Chapter Problem
General Physics University Physics with Modern Physics (11th) by Young, Freedman N/A N/A
Question Details:
our topic on our physics is banked curve relying on friction and we were asked fro the derivation of it's formula. the derived formula is
i. Va>Vr
tan(θ+φ )=v2/(g*r)
where θ+φ= angle g=gravity r=radius v=velocity
 
ii. Va<Vr
tan(θ-φ)=v2/(g*r )
where  θ-φ=angle g=gravity r=radius v=velocity
 
these formulas was derived from the formula of ? Fx=max  and ? Fy=may
 
please do help me, because i am not good with derivations of these formulas :((
 
 

AAnswers:

Answer Question
Mentor
Karma Points: 614
(Howard University)
posted by Suebee on 9/1/2008 11:56:04 PM  |  status: Live
Asker's Rating: Helpful   
yanna's comment:
"where did the sign phi came from?? i thought the equation would be for #1 Ncos theta+Frcos theta=mg then for # 2 Nsin theta + Fr sin theta= v2/gr......"
Response Details:
Verticle direction:    Fy = m  ay
                        N cos (θ + φ) = m g    ...#1
Horizontal direction:  Fx = m ax
                          N sin (θ + φ)φ = m v2 / R   ...#2
Divide #2 by #1
                              tan ( θ + φ) = v2 / gR       Same method fo second derivation
 
Answer Question
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different than tutoring »

Need Help In

Useful Links