Angle of banking, Physics

Angle of banking:

The angle made by the line joining the outer raised edge of the road to the inner edge with the horizontal line is called the angle of banking.

Let AC represents the horizontal path and AB be the path of width ‘l' with raised edge.
Let θ be the angle of banking.
Let a body of mass ‘m' turn around a curved path of radius ‘r' moving with velocity ‘v'.
The normal reaction ‘R' of the path acts perpendicular to AB.
It is at an angle θ to the vertical OY at ‘O'. This reaction ‘R' can be resolved into vertical and horizontal complements R cosθ and Rsinθ along OX and OY respectively.

 

1881_Angle of banking.png

Then the vertical component balances the weight of the body
i.e.Rcosθ mg  .................... (1)

Where ‘g' is acceleration due to gravity
The horizontal component provides the centripetal force

Rsinθ=mv2/R

From 1 and 2 

1191_Angle of banking1.png

Posted Date: 8/28/2012 8:57:27 AM | Location : United States







Related Discussions:- Angle of banking, Assignment Help, Ask Question on Angle of banking, Get Answer, Expert's Help, Angle of banking Discussions

Write discussion on Angle of banking
Your posts are moderated
Related Questions
The rope shown in the figure attached hereto is wound around a cylinder of of mass 4.0 kg, radius 10cm and I=0.020kgm2 , where I is the moment of inertia about an axis along the cy

Interfacial polarization takes place whenever there is an storage of charge at an interface between two materials or between two regions in a material. As shown in the material ha

What is the condition for resonance? Condition for resonance: The condition of frequency of the oscillatory circuit is equal to frequency of the vibrating rod as: 1/(2 Π

how the direction of friction is obtained?

A body of mass m1 , moving with velocity u1 collides head  on with a body of mass m2 moving with a velocity u2 the two bodies stick together after the collision the loss of kinetic

The current transformer has a single turn on the primary winding and a secondary winding of 60 turns. The secondary winding is connected to an ammeter with a resistance of 0.15


Q. State Moseley's law. The frequency of the spectral line in the qualities X-ray spectrum is directly proportional to the square of the atomic number (Z) of the element consid

This problem examines the seasonal solar radiation budget at three geographical locations: the Equator, 40º North, and 80º North. NOTES: At a given geographical location, N

How many significant digits are there in each of the following measurements? a. 100 m 1 b. 0.0023 m/s 2 c. 100.1 m 4 d. 2.0023 5