A car is moving along a banked highway on a ramp that is banked at an angle of 14.0° to the horizontal. The radius of curvature of the bank is 264 m and the coefficient of friction between the tires and the road is 0.67. What is the maximum speed that the car can travel and safely stay on the ramp?
A car is moving along a banked highway on a ramp that is banked at an angle of 14.0° to the horizontal. The radius of curvature of the bank is 264 m and the coefficient of friction between the tires and the road is 0.67. What is the maximum speed that the car can travel and safely stay on the ramp?
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Kindly provide the solution to the following question using the GRASS method. The images attached are the formulas for this unit (Dynamics) and the question.
Please make sure to show all your work using the GRASS method, using formulas from the unit (Dynamics).
Transcribed Image Text:Motion
Ad = Ad₁ + Ad₂ + ...
b
sin B
a
sin A
V₂ V
t
VAB = VAC + VCB
a av
=
=
Forces
āc
F = ma
=
C
sin C
c²=a² + b² sin
d
t
āav ( t)²
2
F = mã,
Uniform Circular Motion
1²
F = ma
y=-
d = v₁ t+
VXY =
√xx
ā =
v=
x =
F
m
F₂
Unit 1 Dynamics
=
à
t
H
cos
-b+√b²-4ac
2a
F = mg
GMm
ā=
à = (v₁ + √₂) t
2
H
V
7.
t
tan 0 =
1.
A
A==bh
v² = ₁² +2αav
F₁ = FN
v=2-r
V=
T
c²=a² + b² - 2ab cos 0
Y₂ Y₁
X₂ X₁
āav( t)²
2
ā
F
A = lw
s,max
N
Slope=
d=v₂ t
a = 4 ² rf² T
r=}
V=
FN
GM
r
Transcribed Image Text:A car is moving along a banked highway on a ramp that is banked at an angle of 14.0°
to the horizontal. The radius of curvature of the bank is 264 m and the coefficient of
friction between the tires and the road is 0.67. What is the maximum speed that the
car can travel and safely stay on the ramp?
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