Curves on some test tracks and race courses, such as the Daytona International Speedway in Florida, are very steeply banked. This banking, with the aid of tire friction and very stable car configurations, allows the curves to be taken at very high speed. To illustrate, calculate the speed at which a 100 m radius curve banked at 65.0° should be driven if the road is frictionless.

Q: A curve that has a radius of 90 m90 m is banked at an angle of ?=11.0∘. If a 1050 kg car navigates…

A: Angle of Banking, θ=11.00Mass of the car, m=1050 kgRadius of the curve, r=90mCar speed, v=70…

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

A: (b) 0.49

Q: A curve that has a radius of 95 m95 m is banked at an angle of ?=10.8∘.θ=10.8∘. If a 1050 kg1050 kg…

A: It is given that,

Q: A fairgrounds ride spins its occupants inside a flying-saucer-shaped container. If the horizontal…

A:

Q: A circular race radius 300 m is banked at an angle of 15°. If the coefficient of friction between…

A:

Q: A curve on the freeway has a radius r = 300 m. What banking angle would allow vehicles traveling at…

A: Here given that the radius of the curve is 300 m. Now the car is moving at a speed of 35 m/s.We have…

Q: What is the ideal speed to take a 100.0-m-radius curve banked at a 20.0° angle?

A:

Q: What is the maximum speed at which a motor can round curve of 50 m radius on a leveled road if the…

A: The radius of the curve is, r=50 m   The coefficient of the friction is, μ=0.5   The acceleration…

Q: Justin is driving his 1500-kg Camaro through a horizontal curve on a level roadway at a speed of 23…

A: Given:  mass, m = 1500 kg  velocity, v = 23 m/s radius, r = 65 m

Q: A roadway for stunt drivers is designed for racecars moving at a speed of 40 m/s. A curved section…

A: Given: Speed of racecars v = 40 m/s. radius of circular arc r = 230 m.

Q: What is the centripetal acceleration of a track athlete that rounds the corner of a curve with a…

A:

Q: A new car is tested on a 200 [m] diameter track. If the car speeds up at a steady 1.5 [m/s²], how…

A: Given Data: The diameter of a track is, D=200 m The tangential acceleration of a car is, vt=1.5 m/s2…

Q: A car is speeding with a velocity of 80 km/hr around a curve that is banked at an angle of 35◦ .…

A: It is given that, v=80 km/hr=22.22 m/sθ=35oμs=0.25μk=0.15

Q: A woman is riding a jet ski at a speed of 30 m/s and notices a seawall straight ahead. The farthest…

A: The expression for the distance is,

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

A:

Q: I need help with this Hw Problem?

A:

Q: consider a car "drifting" along a turn, why is it considered an efficient way to maneuver a long a…

A: Solution:

Q: a curve in a highway as a radius of 120m and is banked at 3degrees .on a day when the road is icy…

A: θ=3.00 r = 120m g = 9.8 m/s2

Q: The radius of curvature is smaller at the top than on the sides so that the downward centripetal…

A: Radius of curvature on the top point= 17 m Centripetal acceleration= 1.5 g to find the speed of…

Q: It was a dark and stormy night in Winona, Minnesota. A driver advances along an icy road - assume…

A: This is case of Banked turn when there is no friction ,speed with which person take the turn to…

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

A:

Q: If the jet is moving at a speed of 840 km/h at the lowest point of the loop, determine the minimum…

A: Given data: Speed of the get (v) = 840 km/h                                  =840*(5/18) m/s…

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

A: Given Data : The velocity of the car is given as v=14 ms The radius of the turn is given as r = 40m.…

Q: A car moving at 38 km/h negotiates a 150 mm -radius banked turn designed for 60 km/h. What…

A: Given that A car moving at 38 km/h negotiates a 150 mm -radius banked turn designed for 60 km/h.…

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A:

Q: A car enters a 368-m radius horizontal curve on a rainy day when the coefficient of static friction…

A: Given, Radius , r = 368 m coefficient of static friction between its tires and the road , μs = 0.52.…

Q: A given highway turn has a 110 km/h speed limit and a radius of curvature of 1.3 km 1)What banking…

A: Given Information:- Speed limit of the highway turn is  v=110 km/h =110×1 km1 h×1000 m1 km×1 h60…

Q: A curve on a racetrack of radius 70 m is banked at a 15° angle. At what speed can a car take this…

A: The speed of the car can be given by v=rgtanθ

Q: Why are turns on a racetrack banked? Imagine a turn in the road has a radius of curvature of…

A: Why are turns on a racetrack banked?   banked turns are needed to maintain greater speeds onto and…

Q: A curve of radius 100 m.banked at an angle of 30, When a car round this curve at the maximum speed…

A:

Q: ) Sammy is driving a 1575 kg car at 121km/h in a horizontal plane around a banked curve with a…

A:

Q: In addition to their remarkable top speeds, she does have impressive cornering abilities. In one…

A: Given that - Mass of the cheetah Force given by the cheetah claws   To Find - We have to…

Q: 15. A road is banked at an angle of 10 degrees. If the road is iced over (no friction), the maximum…

A: The given data are listed below with appropriate variables. Here, θ denotes the angle of the banked…

Q: What is the maximum speed at which the car can round a curve of 30-m radius on a level road is the…

A: Given Data: r = 30 m μ = 0.8 v = ? Solution: The force equations for the given scenario are N = mg…

Q: A car of mass 500 kg is traveling on a circular banked roadway that is inclined at an angle of 0 =…

A: Given value--- mass = 500 kg. angle = 20 degree.  radius = 100 m. We have to find--- minimum…

Q: A car goes around a flat curve of radius 50 m at a speed .of 14 m/s What must be the minimum…

A:

Q: A curve in a highway has a radius of curvature of 120 m and is banked at 3. On a day when the road…

A: The radius of curvature of the highway is R = 120m. The highway is banked at θ=3°. Assume the safest…

Q: A car goes around a flat curve of radius 50 m at a speed of 14 m/s. What must be the minimum…

A:

Q: A frictionless curve of radius 100 m, banked at an angle of 45°, a car may be safely negotiated at a…

A: Radius of the curve r=100 m Angle of bank θ=450 Acceleration due to gravity g=9.8 m/s2 The maximum…

Q: A vehicle weighing 500 kilograms travels on a round banked highway that is inclined at angle of…

A: Mass of vehicle = 500 kg  Angle (theta) = 20°  Radius (r) = 100 m

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.