Banked road need to find the angle

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Homework Help Overview

The discussion revolves around calculating the angle at which a road should be banked for a specific design speed and radius. The subject area includes concepts from physics related to circular motion and forces acting on an object in motion.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relevant equations for centripetal force and the components of forces acting on a vehicle on a banked road. There are attempts to relate the given speed and radius to the angle of banking using trigonometric functions.

Discussion Status

Some participants have shared their initial attempts to apply equations related to centripetal motion, while others express uncertainty about how to proceed without knowing the mass of the object. There is an exploration of the relationship between speed, radius, and the banking angle, with references to specific equations.

Contextual Notes

Participants note the absence of mass in the problem setup and question how this impacts their ability to solve for the angle. There is also mention of needing to understand the derivation of certain equations related to the problem.

LDRshipphysic
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Calculate the angle at which a road should be banked for a design speed of 43 km/h and a radius of .0075 km.

Givens : radius: .075km = 75m
Vt(maybe?): 43 km/h = 11.944m/s

Unknown: angle

Im not shure about what equations to go about solving this for i know in the end I am probly going to have to cancil out mass's because that isn't given to you.. If anyone can help me it would be soooo nice!

 
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What i attempted to do so far was

Fc=(mvt^2)/r i think i know what the diargram should look like, I am unshure on how to solve for the componits that make up the diargram tho such as Fnx, and Fny, if there was some way i could figure out the compents for Fn then i could figure out how to solve for the angle using trig functions
 
But because i don't know the mass of the object I am unshure how to go about solving it
 
How do u get

Ok, in my physics homework i know the equation that i have to use is tan(θ) = v2/rg but i don't know how you get to that, if there is some way to find out, that would be sweet for your assistance. I know that v2/r is equail to the centripetal acceleration but you I am not shure the base equations that would be used, If you can help that would be great thanks.
 

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