Question

A road with a radius of 75.0 m is banked so that a car can navigate the curve at a speed of 15.0 m/s without any friction. If the banking angle is reduced to zero when a car is going 20.0 m/s on this curve, what minimum coefficient of static friction is needed if the car is to navigate the curve without slipping?

Answer #1

Since the banking angle is reduced to zero, frictional force (static friction) alone is to provide the centripetal force to prevent car from slipping.

Given radius of road R = 75.0 m

Velocity of the car v = 20 m/s

The condition for not to slip is

Here, is the coefficient of static friction

and g is acceleration due to gravity.

The above equation is rearranged as

Hence, the minimum value of coefficient of static friction is given by the expression

Therefore, the minimum value of coefficient of static friction is 0.5442

A curve of radius 20 m is banked so that a 1100 kg car traveling
at 30 km/h can round it even if the road is so icy that the
coefficient of static friction is approximately zero. The
acceleration of gravity is 9.81 m/s 2 .
Find the minimum speed at which a car can travel around this
curve without skidding if the coefficient of static friction
between the road and the tires is 0.3. Answer in units of m/s.

A car merges onto the freeway on a banked curve. The car
maintains a constant velocity 푣 while driving on the curve, which
is banked at angle theta and has a radius of curvature R. The car
has mass m and the coefficient of static friction between the car’s
tires and the road is meu(s). What is the maximum and minimum speed
that the car can go around the banked curve without slipping? Hint:
The car tends to slip up...

A curve of radius 20 m is banked so that a 1000 kg car traveling
at 60 km/h can round it even if the road is so icy that the
coefficient of static friction is approximately zero. The
acceleration of gravity is 9.81 m/s 2 . ? Find the minimum speed at
which a car can travel around this curve without skidding if the
coefficient of static friction between the road and the tires is
0.2. Answer in units of...

A curve of radius 30 m is banked so that a 950-kg car traveling
at 25 miles per hour 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 around this curve without skidding. Neglect the
effects of air drag and rolling friction. If the coefficient of
static friction between the snowy road...

A car rounds a 50 meter radius curve that is banked such that a
car rounding it does not need friction at a speed of 12 m/s. What
is the bank angle of the road?
The coefficient of kinetic friction between the tires and the
road is 0.5 and the coefficient of static friction between the
tires and the road is 0.8. If the same road were flat (instead of
banked), determine the maximum speed with which the coar could...

A 1000-kg car is traveling around a curve having a radius of 100
m that is banked at an angle of 15.0°. If 30m/s is the maximum
speed this car can make the curve without sliding, what is the
coefficient of friction between the road and the tires?

A BMW is going around a banked curve in the road. It is part of
a circle with radius 125 m . An automobile that goes around the
curve with speed 20 m/s does not require any friction force to not
slip, but this BMW is going around the curve at 38.8 m/s. What's
the smallest value the coefficient of friction (between the tires
of the BMW and the road) that can be without any slipping?
Answer= .64 **But, How?**

1) A car is traveling around a circular portion of road banked
at an incline of 20 degrees to the horizonal. If the radius of the
turn is 75 m and the coefficient of static friction is 0.75 A) What
is the maximum speed the car can take the turn without losing
traction? B) At what speed would the static friction be zero?

A curve at a racetrack has a radius of 600 m and is banked at an
angle of 7.0 degrees. On a rainy day, the coefficient of friction
between the cars' tires and the track is 0.50. Part A. What is the
maximum speed at which a car could go around this curve without
slipping? Give answer as vmax= and m/s

An auto mobile traveling at 60 mph rounds a curve banked at 10
degrees. The radius of the curve is 200 ft. (a) What is the minimum
coefficient of friction that will keep the car on the road? (b)
What would the bank angle need to be in order for the car to stay
on the road without any friction?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 3 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 18 minutes ago

asked 28 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago