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What is the maximum speed with which a car can negotiate a turn of radius r safely?
The maximum speed with which a vehicle can negotiate a cuved road, which is banked at the angle theta=tan^-1(0.24) is 54km//hr. IF the same road is flat and vehicle has to negotiate the curve with same maximum speed, the coefficient of friction between the road and tyres of the vehicle should be.
What does the speed around a curve depend on?
The greater the angle θ, the faster you can take the curve. Race tracks for bikes as well as cars, for example, often have steeply banked curves. In an “ideally banked curve,” the angle θ is such that you can negotiate the curve at a certain speed without the aid of friction between the tires and the road.
What is the maximum speed VM with which a car can negotiate?
The maximum speed with which a vehicle can negotiate a curved road, which is banked at an angle θ=tan−1(0. 24), is 54 km/hr.
What if anything determines the maximum speed at which a car traveling around a flat curve with constant speed will be able to negotiate the curve?
Yes, the maximum speed will depend upon the static friction of the surface and the radius of curvature of the road. If a curve is banked, is it possible for a car to negotiate the curve even when the frictional force is zero due to very slick ice?
What is the coefficient of friction when a cyclist takes a turn?
A cyclist speeding at 18km/h on a level road takes a sharp circular turn of radius 3m without reducing the speed and without bending towards the centre of the circular path. The coefficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?
What determines the speed at which a bend can be negotiated?
The method presented demonstrates that the maximum speed at which a bend can be negotiated is dependent upon finding the maximum radius that a vehicle can take through a particular bend. That maximum radius is itself determined by the inside radius defining the bend itself, the available road width and the angle through which the bend turns.
How do you find the maximum speed on a banked road?
Maximum Speed on Banked Roadway. For a highway curve of radius r = m = ft. where the angle of bank is θ = °. and the coefficient of static friction is μ s = , the maximum speed for the banked road with this coefficient of friction is. v max = m/s = mi/hr = km/hr.
What is the maximum speed for a flat road with zero friction?
For comparison, the maximum speed with zero friction would be v max = m/s = mi/hr = km/hr. and the maximum speed for a flat road with this coefficient of friction would be v max = m/s = mi/hr = km/hr.