A car of mass 1 tonne travels round an unbanked horizontal curve of radius 28m. The track width of the car is 1.6m and its centre of gravity is central and at a height of 0.85m above the road surface. The limiting coefficient of friction between the tyres and the road is 0.65. (a) Show whether the car is likely to skid or overturn if the speed is excessive. (b) What is the maximum speed in km/h at which it can safely travel around the curve (c) Determine the reactions of the inner and outer wheels at this maximum speed

Q: (a) Calculate the minimum coefficient of friction needed for a car to negotiate an unbanked 50.0 m…

A: Formula of coefficient of friction is as follows; μ=tanθ=v2rg…

Q: A car rounds a bend of radius 80 m at a speed of 50 kilometres per hour. The car's centre of gravity…

A:

Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…

A: Since tana=v^2/rg. a=15' r=110m. Therefore -v=(tana×rg)^0.5. =17m/s

Q: A car rounds a bend of radius 80 m at a speed of 50 kilometres per hour. The car's centre of gravity…

A: Given: Radius r = 80 m speed v = 50 km/hr v= 50×518= 13.89 m/s The Center of gravity is at a height…

Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…

A:

Q: A 570-kg car traveling at 28 m/s is going around a curve having a radius of 118 m that is banked at…

A: The centripetal force on the car is equal to the sum of the horizontal components of the friction…

Q: A highway curve has 200-ft radius and is designed to accommodate vehicles at a maximum speed of…

A: Let F denote the centripetal force, vmax denote the maximum velocity, m denote the mass of the…

Q: A vehicle with a mass of 2.6x10° kg is driving at a speed of 58 km/h around a level roadway with a…

A:

Q: A 1290 kg sports car rounds a flat curve of radius 56.0 m. Given that the coefficient of static…

A: The expression for find maximum speed of the car is Ff=Fcμmg=mv2rv=μgr

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

A:

Q: A body of mass 1 kg is tied to a string and revolved in horizontal circle of radius 1 m. Calculate…

A:

Q: If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding…

A: We need to calculate the minimum speed, in meters per second?and What is the minimum coefficient of…

Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…

A:

Q: .A car is entering a curve of radius 190m with a velocity of 165kph. Determine the angle of banking…

A:

Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…

A: Please see the answer below

Q: If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding…

A: Given: The angle of banking is 13o. The radius of the curvature is 108 m.

Q: A curve of radius 117 m is banked at an angle of 12.3 °. At what speed can it be negotiated under…

A: Given quantities: Radius (r) = 117 m angle (θ) = 12.3 degree acceleration due to gravity (g) = 10…

Q: How large must the coefficient of static friction be between the tires and the road if a car is to…

A: Given, the radius of the round road, r =115 m speed, v = 110 kmh

Q: A dime of mass 2.3 g is whirled around in a circle of radius 30 cm with a constant speed of 3.0 m/s.…

A: Draw the free-body diagram of the system.

Q: If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding…

A:

Q: A vehicle with a mass of 2.1x103 kg is driving at a speed of 62 km/h around a level roadway with a…

A:

Q: (a) What is the ideal banking angle u of a sec road, if the speed of the cars on it is v = 15m/ eal…

A: Given: Radius R=50 m V=15 m/s

Q: A curve of radius 78m is banked for a design speed of 85kph. If the coefficient of static friction…

A: Radius(r)=78 m Coefficient of static friction (μ)=0.30 Designed speed =85 Kph For a banked road: On…

Q: A car drives straight down toward the bottom of a valley and up the other side on a road whose…

A:

Q: A 720-kg race car can drive around an unbanked turn at a maximum speed of 47 m/s without slipping.…

A:

Q: A circular road of radius 1000 m has banking angle 45°. Calculate the maximum speed to avoid the…

A: In the given question we have to find the maximum speed (v) of car to avoid the slipping of car at…

Q: A car weighing 11.1 kN and traveling at 13.7 m/s without negative lift attempts to round an unbanked…

A:

Q: r weighing 10.9 kN and traveling at 13.6 m/s without negative lift attempts to round an unbanked…

A:

Q: A 3500-pound automobile is negotiating a circular interchange of radius r = 500 feet at s = 45 miles…

A: The given data   The velocity of the automobile v = 45 mph = 45×52803600 ft/s = 66 ft/s The mass is…

Q: banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the…

A:

Q: A circular curve of highway is designed for traffic moving at 75 km/h. Assume tF traffic consists of…

A: GivenA circular curve on highway is designed for traffic moving with ,v=75 km/h ,

Q: A banked roadway of radius 200m is designed for traffic moving at a maximum speed of 18m/s. Ignoring…

A: Given Radius is given as r=200 m Maximum speed is vm=18 m/s   We have to find the angle at which the…

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.