Circular Motion - Wall of death Problem

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Homework Help Overview

The discussion revolves around a problem related to circular motion, specifically the dynamics of a motorcycle on a wall of death. Participants are tasked with finding the minimum and maximum speeds required to maintain the motorcycle's position against gravitational forces and frictional effects.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the relationship between speed, gravitational forces, and friction, questioning the calculations for minimum and maximum speeds. There is an attempt to derive equations based on the forces acting on the motorcycle.

Discussion Status

Some participants have provided calculations and expressed uncertainty about their correctness. Others have raised questions regarding the maximum radial force and its relationship to the motorcycle's speed, indicating a collaborative effort to clarify the problem.

Contextual Notes

Participants are working under the constraints of given mass, coefficient of friction, radius, and maximum gravitational force, while also grappling with the conversion of gravitational force into Newtons for their calculations.

blackbird2552
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Homework Statement




Total mass = 260 kg
Coefficient of Friction = 1.00
r = 4 m
gmax = 4 g

a) Find the minimum speed to keep the rider on the wall of death.

b) Find the maximum speed inside the wall of death of the motorcycle based on gmax




Homework Equations




[tex]\mu[/tex] x (mv^2/r) = mg
Fc = mv^2/r
Gforce = mv^2/r


The Attempt at a Solution



a)

V = [tex]\sqrt{ g r / \mu}[/tex]

V = 6.26 m/s

b)

Gforce = mv2/r

4 = 0.26g x v2 / 4 m
V = 7.84 m/s

I don't know if it is right...
 
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blackbird2552 said:

Homework Statement

Total mass = 260 kg
Coefficient of Friction = 1.00
r = 4 m
gmax = 4 g

a) Find the minimum speed to keep the rider on the wall of death.
Correct.

b) Find the maximum speed inside the wall of death of the motorcycle based on gmaxGforce = mv2/r

4 = 0.26g x v2 / 4 m
V = 7.84 m/s

I don't know if it is right...
I can't follow your reasoning. What is the maximum radial (normal to the wall) force (in Newtons)? What is the relationship between that force and the speed of the motorcycle? What is the motorcycle speed needed to achieve that force?

AM
 
..what i need to do is find is the maximum speed at which the motorcycle should be going to get the max value of g, that is 4 gs...i don't get how i will calculate it!...what i did is, since Fc = mv^2/r...the gforce = mv^2/r., i had the mass and the radius...i solved it for v...i think i should convert the 4 g to the force in Newton that would be the maximum radial (normal to the wall) force (in Newtons)...i don't know how to do that...help?...
 
i think i got where i went wrong in the second one

The total force acting when the mass is experiencing 4 gs is

4g = 39.24 m/s2
F = ma
F = 260 kg x 39.24 m/s2 = 10202.4 N

to get the max v

Fc = mv2/r

10202.4 = 260kg x v2 / 4 m
V = underoot 156.96
V = 12.5 m/s

Is this right??...
 
blackbird2552 said:
i think i got where i went wrong in the second one

The total force acting when the mass is experiencing 4 gs is

4g = 39.24 m/s2
F = ma
F = 260 kg x 39.24 m/s2 = 10202.4 N

to get the max v

Fc = mv2/r

10202.4 = 260kg x v2 / 4 m
V = underoot 156.96
V = 12.5 m/s

Is this right??...
Correct.

AM
 

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