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

a metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a load of 8.00 kg is hung on its end. find the stress, the strain and the young''s modulud for the mater

1) Consider 2kg mixture of H 2 and N 2 ideal gases inside a closed piston-cylinder device at 150kPa and 100o C. This mixture has 0.4 mole fraction of H 2 . This mixture undergoes

what is the importance of si unit

Will light go any length along the fiber? Each conductor has losses, and in the case of fiber optics, all these are sizeable. Light losses into the industry average 2 to 5 perc

Two trains on separate tracks move toward one another. Train 1has a speed of 140 km/h, train 2 speed of 55.0 km/h. Train 2 blows it shorn, emitting a frequency of 500 Hz. What is t

The process of apparent change in frequency (or wavelength) of the light because of relative motion among the source of light and the observer is known as Doppler's effect.

Can you put any amount of light into a fiber optic? It is one of the standard fallacies of the industry. The system required to put a sizeable amount of light in a fiber optic

D=(a÷Sqrt(h**k**l**))

Arago spot (D.F.J. Arago) A bright spot which appears in the shadow of a uniform disc being backlit through monochromatic light emanating from a point source.