What is Banked curve: Definition and 109 Discussions
A banked turn (or banking turn) is a turn or change of direction in which the vehicle banks or inclines, usually towards the inside of the turn. For a road or railroad this is usually due to the roadbed having a transverse down-slope towards the inside of the curve. The bank angle is the angle at which the vehicle is inclined about its longitudinal axis with respect to the horizontal.
Homework Statement
A banked circular highway curve is designed for traffic moving at 56 km/h. The radius of the curve is 203 m. Traffic is moving along the highway at 51 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to negotiate...
Homework Statement
A car is traveling around a circular, banked track without friction. It is initially traveling around bottom of ramp where inner radius of track is 397 meters. Car then increases its velocity by a factor of 1.9. If inclination angle is 13 degrees, what is height (vertical...
Homework Statement
A circular curve of radius R in a new highway is designed so that a car traveling at speed v0 can negotiate the turn safely on glare ice (zero friction). If a car travels too slowly, then it will slip toward the center of the circle. If it travels too fast, then it will slip...
I have a physics problem thatz bothering me
A car rounds a banked curve.The radius of curvature = R, bankin' angle a, and coefficient of friction k,.Show that the minimum velocity the car should travel in if it doesn't want to slip down
Homework Equations
[ R g * (tan a - k) / (1 +...
Homework Statement
A racecar is traveling at a speed of 120km/h on a banked curve (no friction). What is the radius of the rotation if the turn is banked at an angle of 25 degrees to the horizontal?
Homework Equations
v = 120 km/h
angle = 25 degrees
r = ?
The Attempt at a Solution
I have...
Hi,
If we have a car traveling in a circle on a banked curve without friction, the forces acting on the car would only be the normal force and gravitational force.
Using a x-y coordinate system, the horizontal component of normal (Nsintheta) provides the centripetal force Fc and it's...
Homework Statement
A curve of radius 68m is banked for a design speed of 85km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve?
Homework Equations
1) FNsin(theta) = m*v2/r
2) FNcos(theta) - mg = 0
3) tan(theta) =...
Hello,
From what I understand a car negotiating a banked cruve of angle \theta at a speed V0 does not experience a force of friction.
But if the car goes to a speed higher than V0, then friction acts in the direction of the cruve. i.e. inwards
And if the car goes at a speed lower than V0...
This is a five part question, of which I have completed 2 parts, which I will explain below. This is a level 1 physics problem concerning centripetal motion on banked curves and the forces that apply to objects in these scenarios.
PROBLEM:
A car travels at a speed of 27m/s around a...
Homework Statement
A curve of radius 152 m is banked at an angle of 12°. An 738-kg car negotiates the curve at 93 km/h without skidding. Neglect the effects of air drag and rolling friction. Find the following.
(a) the normal force exerted by the pavement on the tires
(b) the frictional...
Homework Statement
A car approaches a curve that is banked at 20 degrees. The minimum speed for the curve is 20 m/s. The car's mass is 1000 kg. What is the radius of the curve if the coefficient of kinetic friction is 0.5 and the coefficient of static friction is 1.0?
Homework...
Homework Statement
Curve on highway, 15 degrees, designed for 85 km/h and car goes 110 km/hr. Horizontal component of normal force on car is:
a. in same direction as the centrifugal force
b. parallel to the road and towards the inside of the curve
c. in the same direction as the normal force...
Homework Statement
9. A 2000 kg car is racing around a banked circular path whose radius of curvature is 50.0m. The coefficient of static friction between the car and the road is 0.100. What is the maximum possible speed for the car to remain on the road if the angle of the curve is 15°...
Homework Statement
the curve has a radius of 300m and is banked at an angle of 10.0degrees. (a) what speed is no friction required? (b)suppose it is raining and the coefficient of friction is 0.4, what are the maximum and minimum speeds at which the curve can be travelled
Homework...
Homework Statement
A curve of radius 15 m is banked so that a 930 kg car traveling at 48.0 km/h can round it even if the road is so icy that the coefficient of static friction is approximately zero. You are commissioned to tell the local police the range of speeds at which a car can travel...
Homework Statement
What is the maximum speed with which a 1200 rubber-tired car can take around a banked curve with radius of 80.0 meters an angle of 19.0 degrees? (static friction coefficient is 1.0)
Homework Equations
Fs=mu*F(normal)
F(netxdirection)/m=acceleration...
"A banked circular highway curve is designed for traffic moving at 70 km/h. The radius of the curve is 186 m. Traffic is moving along the highway at 35 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to negotiate the turn without...
Homework Statement
A car of mass 1200 kg enters a turn of radius 20 m traveling at 12 m/s. The curve is banked at an angle of 37°. What is the normal force on the car by the road? (Assume that there is friction, and use g=10 m/s2.)
Homework Equations
F=mac
ac=v2/r
fs=\musN
The...
Homework Statement
If a curve with a radius of 90 m is properly banked for a car traveling 68 \frac{km}{h}, what must be the coefficient of static friction for a car not to skid when traveling at 98 \frac{km}{h}?Homework Equations
I know I need
\Sigma \vec{F} = m \vec{a}f_s <= \mu_s N
and...
Determine the maximum velocity at which a car can travel if the banking angle is 15º for the following conditions
1) It is not to slide radially outwards.
2) It is not to roll over.
given:
coefficient of friction as 0.4
r = 60m
width of car is 2m and height from bank to centre of car is 0.5m...
Homework Statement
car is on a banked curve of angle 18o, radius 70m. Mass of car = 1020kg and weight is taken as 1.0x10^4 N. Find the resultant force and the normal force N when the car is at the design speed.
Homework Equations
force diagram equations
The Attempt at a Solution...
Homework Statement
A car is on a banked curve of bank angle 18 deg, radius 70m. It's mass is 1020kg. Draw a free body force diagram approximately to scale, when the car is at the 'design speed'. What is meant by design speed? Find the resultant force and the normal force n.
Homework...
Homework Statement
A race-car driver is driving her car at a record-breaking speed of 225kh/h. The first turn on the course is banked at 15 degrees, and the car's mass is 1450kg.
a) Calculate the radius of the curvature for this turn
b) Calculate the centripetal acceleration of the car...
This is for a vehicle dynamics class; it is more than just a banked curve problem. I am not sure what we have to calculate...the professor never went over this.
Homework Statement
A Porsche 911 is traveling around a circular track of diameter 400m at a constant 30 m/s without using any...
SOLVED
(Green means correct)
Homework Statement
A a 14600 kg *rubber-tired car moves on a concrete highway curve of radius 71 m is banked at a 12° angle.
(a) What is the normal force acting on the car?
168971N
(b) What is the speed with which the car can take this curve without...
On an inclined plane, "\SigmaFy = N - mg cos ø = ma = 0".
And "\SigmaFx = mg sin ø = ma" (frictionless).
So, in the y direction, "N = mg cos ø".
But on a banked curve, "\SigmaFy = N cos ø - mg = ma= 0".
And "\SigmaFx = N sin ø = ma = mv²/r" (frictionless).
So, in the y direction, "N cos...
A car can negotiate an unbanked curve safely at a certain maximum speed when the coefficient of static friction between the tires and the ground is 0.84. at what angle should the same curve be banked for the car to negotiate the curve safely at the same maximum speed without relying on friction...
Homework Statement
A car enters a turn whose radius is R. The road is banked at angle Theta, and the friction coefficient is mu. Find the max and min speeds for the car to stay on the road without skidding sideways.
Homework Equations
W = mg
N = -W
Friction force = f = muN
Centripetal...
Homework Statement
If a car goes around a banked curve too fast, the car will slide out of the curve. Find an expression for the car speed v_{max} that puts the car on the verge of sliding out. What is the value for R=200, \theta = 10 , \mu_s = 0.60 ?
Homework Equations
a = v^2/r...
Homework Statement
A curve of radius 60m is banked for a design speed of 100km/h. If the coefficient of static friction is 0.3 (wet pavement), at what range of speeds can a car safely make the curve?
v = 100km/hr = 27.8m/s
x = ?
r = 60m
a_r = 12.9m/s²
u = 0.3
Homework Equations...
Homework Statement
A concrete highway curve of radius 80.0 m is banked at a 13.0 degree angle.
What is the maximum speed with which a 1400 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)
Homework...
can someone please explain why when banking a curve at an angle so that no friction at all is needed to maintain the car's turning radius , we project the normal into an x and y component and we don't project the weight into an x and y component as we do for problems involving motion over an...
A concrete highway curve of radius 80.0 m is banked at a 14.0\circ angle.
What is the maximum speed with which a 1300 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)
I was trying v_max = \sqrt{}\mu_srg
but that...
If a curve with a radius of 88m is perfectly banked for a car traveling 75km/h, what must be the coefficient of static friction for a car not to skid when traveling at 95km/h?
Relevent equations: F=ma, Fr=muFN
FNsintheta=m(v2/radius) = mg/costheta x sintheta = m(v2/r) = mgtantheta =...
Homework Statement
A curve in a highway has radius of curvature 120 m and is banked at 3.5°. On a day when the road is icy, what is the safest speed to go around the curve?
_________ m/s
Homework Equations
m(v^2/r)?
The Attempt at a Solution
How are you suppose to find...
Homework Statement
A truck is traveling around a 3 degree banked turn at a given constant speed with a given radius of curvature. The weight and center of gravity of the truck are also given. The question asks to determine at which speed the truck will tip over.
Homework Equations...
we werre asked to draw the trajectory of the car going at maximum speed on a banked curve given the coefficient of kinetic friction. Since the friction equations are the same and I already calculated the maximum velocity allowed using the coefficient for static friction, should I just plug in...
Car negotiating a banked curve -- centripetal force
We were asked to calculate the optimum (no friction), maximum, and minimum speeds alowed for a car making a banked curve.
I calculated the optimum and maximum velocities using the provided angle, radius, and coefficient of static firction...
Hey I am doing a assignment on Roller coaster physics and i am to design a Roller coaster taking all the aspects of physics.
I am stuck at my banked curve i don't know what formula to use to find the angle of the curve.
I have seen this formula in the forums
Tan theta=v^2/rg
but the...
QUESTION:A car travels at a speed of 16 m/s around a
curve of radius 21 m.
The acceleration of gravity is 9.8 m/s^2 :
http://img262.imageshack.us/img262/3067/bankedcurvera4.jpg
What is the net centripetal force needed to
keep the car from skidding sideways? Answer
in units of N.
if there was no...
1. Tilting trains such as the Acela, which runs from Washinton to new York to Boston, are designed to travel safely at high speeds on curved sections of track which were built for slower, conventional trains. As it enters a curve, each car is tilted by hydraulic actuators mounted on its trucks...
Homework Statement
A banked circular highway curve is designed for traffic moving at 60 km/h. The radius of the curve is 230 m. Traffic is moving along the highway at 35 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to negotiate...
Normal force on a banked curve?
In every textbook I've looked at, I can't find an answer to this question. When determining the centripetal force on an object on a banked curve, it is stated that the banking angle for a given speed and radius is found by tan θ = v^2/rg
It is found as...
Okay, so I've been working on incline plane and then banked curve problems. From the incline plane problems and the definitions in my book I believed that normal force was just the y component of the weight, ie the weight times the cos of the angle of incline and no x component, ie parallel to...
Can someone start me in the right direction?
Radius = 105ft
length = 30 ft
height = 4ft
theta = ?
best velocity = ?
I am guessing I use ... tan(theta) = v^2/rg ... v = sqrt(rg tan(theta))
But the empty theta confuses me, and I am not sure how the length even fits in, thanks!,
-Mike
Hey all,
I'm new here and would appreciate some help with this question about banked curves.
A curve with a 120-m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction...
http://img138.imageshack.us/img138/2042/untitled15mr.jpg
theta = 21 degrees
Mu = 0
radius = 150 meters
a = radial acceleration of uniform circular motion
a = v^2 / r
The sum of all forces = m*a
Since the car is at an angle and Fn is always perpendicular I split it into X and Y...
Hello there. I need some help in solving the following problem:
Problem: A race-car driver is driving her car at a record-breaking speed of 225 km/h. The first turn on the course is banked at 15 degree, and the car's mass is 1450 kg.
a) Calculate the radius of curvature for this turn.
b)...
car moving along a banked curve with friction (solved)
first off, thanks to whoever helps me. you're a life saver. i could just copy it from a friend, but i want to be skilled enough for the AP Physics B exam. so yeah... i just want to understand what i have to do. the logic with this is...
Hey lads, i solved part a of this problem in 5 minutes, part B is killing me, I've been doing it for 1 hour and nothing.. I've tried everything, any help appreciated:
[Tipler5 5.P.090.] A civil engineer is asked to design a curved section of roadway that meets the following conditions: With...