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circular2.gif (523 bytes)




Legend

ac

= centripetal acceleration

v

= velocity

r

= radius
Fc = centripetal force

m

= mass
FN = normal force
Ff = force of friction
Fg = force of gravity

網上實驗

 
Problem:
If a road's stastic coefficient is 0.5.   And the radius of the curve is 50 m.  What is the greatest speed a car can travel without skidding out of the road?

 

Background Info:
As we have derived from the curve section:

g = v2/r

As a result, we see that the greater the of the road is, the faster a car can travel without skidding.  And the car can travel in a small radius of a curve without skidding.

 

Calculations:
= 0.5
r = 50 m
9 = 9.8 m/s2

We have:

g = v2/r

Rearrange it:

v2 = gr
vmax =

vmax =
vmax =15.65 m/s

 

Calculations:

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