1) A concrete highway curve of radius 70 m and is banked at an angle of...

1) A concrete highway curve of radius 70 m and is banked at an angle of 30o. Imagine a car driving around the turn at a constant height. We want to find the maximum speed at which a 1100 kg rubber-tired car can go around this curve. Take the static coefficient of friction of rubber on concrete to be ?s = 1.0.

a) Calculate the maximum speed the car can go around the curve.

b) Discuss what is different from finding the maximum to finding the minimum speeds.

c) Calculate the minimum speed the car can go around the curve

2) On a rainy day, the concrete will be wet and reduce the coefficient of friction to ?s = 0.3

a) Calculate the maximum speed the car can go around the curve.

b) Calculate the minimum speed the car can go around the curve.

3) Freezing rain! The coefficient of friction is now zero! Can a car theoretically make it around this turn? If not, explain why not. If so, calculate the speed(s) at which they will be able to make it around the curve.

Expert Solution

genius_generous answered 17 hours ago

A concrete highway curve of radius 84 m is banked at a 15.3 degree angle. What...

A concrete highway curve of radius 84 m is banked at a 15.3 degree angle. What is the maximum speed with which a 1500 kg rubber-tired car can take this curve without sliding? First of all, what is the relevant coefficient of friction? (It's 1) What is the magnitude of the normal force acting on the car? What is the maximum speed the car can take this curve without sliding? Does this maximum speed depend on the mass of the...

A highway curve with a radius of 450 m is banked properly for a car traveling...

A highway curve with a radius of 450 m is banked properly for a car traveling 80 km/h. If a 1560- kg Porshe 928S rounds the curve at 250 km/h, how much sideways force must the tires exert against the road if the car does not skid?

A highway curve with a radius of 750 m is banked properly for a car traveling...

A highway curve with a radius of 750 m is banked properly for a car traveling 120 km/h. If a 1600- kg Porshe 928S rounds the curve at 230 km/h, how much sideways force must the tires exert against the road if the car does not skid?

A curve of radius 70 m is banked for a design speed of 100 km/h ....

A curve of radius 70 m is banked for a design speed of 100 km/h . If the coefficient of static friction is 0.33 (wet pavement), at what range of speeds can a car safely make the curve?

A curve of radius 90 m is banked for a design speed of 100 km/h. If...

A curve of radius 90 m is banked for a design speed of 100 km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve?

A curve of radius 69 m is banked for a design speed of 78 km/h. If...

A curve of radius 69 m is banked for a design speed of 78 km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve? [Hint: Consider the direction of the friction force when the car goes too slow or too fast.]

A curve of radius 69 m is banked for a design speed of 80 km/h ....

A curve of radius 69 m is banked for a design speed of 80 km/h . if the coefficient of static friction is 0.33 (wet pavement) at what range of speeds can a car safely make the curve?

A curve of radius 40 m is banked for a design speed of 60 km/h. If...

A curve of radius 40 m is banked for a design speed of 60 km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve? minimum maximum

A curve of radius 30 m is banked so that a 950 kg car travelling at...

A curve of radius 30 m is banked so that a 950 kg car travelling at 40 km/h can go 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 is 0.3, what is...

a curve of radius 68 m is banked for a design speed of 85 km/h. If...

a curve of radius 68 m is banked for a design speed of 85 km/h. If the coefficient of static friction is 0.40 (wet pavement), at what range of speeds can a car safely make the curve? [Hint: Consider the direction of the friction force when the car goes too slow or too fast.] EXPRESS answer in km/h

Question