Banking curve problem (find maximum speed)

[5ymmetrica1]

Homework Statement

A car travels around a circular curve on a flat, horizontal road at a radius of 42meters.
the maximum frictional force between the tyres and the road is equal to 20% of the weight of the car
calculate the maximum speed at which the car can travel around the curve at a constant radius of 42 meters

Homework Equations

I think I am supposed to use v = √rg
But I don't have a set of answers for these problems so I am not sure as this doesn't include the part of the question, the maximum frictional force between the tyres and the road is equal to 20% of the weight of the car

The Attempt at a Solution

v = √42*9.8
∴ v = 20.29 m/s

 

[rude man]

Homework Statement

A car travels around a circular curve on a flat, horizontal road at a radius of 42meters.
the maximum frictional force between the tyres and the road is equal to 20% of the weight of the car
calculate the maximum speed at which the car can travel around the curve at a constant radius of 42 meters

Homework Equations

I think I am supposed to use v = √rg
But I don't have a set of answers for these problems so I am not sure as this doesn't include the part of the question, the maximum frictional force between the tyres and the road is equal to 20% of the weight of the car

The Attempt at a Solution

v = √42*9.8
∴ v = 20.29 m/s

The centripetal force is mv^2/R but what force is in play to produce that force ? It's not mg since that's the weight of the entire vehicle. What's the static friction force?

 

[5ymmetrica1]

I haven't studied any formula for static friction at this time in my physics course so I'm not quite sure what you mean sorry.

I know F_w = F_g (and F_v is equal but opposite in direction)

and that when split into vector components F_h = F_c

so is the frictional force F_f = F_N (Normal force)?

 

[lep11]

I haven't studied any formula for static friction at this time in my physics course so I'm not quite sure what you mean sorry.

I know F_w = F_g (and F_v is equal but opposite in direction)

and that when split into vector components F_h = F_c

so is the frictional force F_f = F_N (Normal force)?

You don't need the actual formula of friction since you know Fμ=0.2*G

 

[rude man]

I haven't studied any formula for static friction at this time in my physics course so I'm not quite sure what you mean sorry.

I know F_w = F_g (and F_v is equal but opposite in direction)

and that when split into vector components F_h = F_c

so is the frictional force F_f = F_N (Normal force)?

If yo have a weight W sitting on the table and the coefficient of static friction is μ, how much horizontal force can you apply before it starts to slip?