You are hired as a physicist in a team of Formula 1.

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In a Formula 1 scenario, a physicist must calculate the new maximal safe speed for a driver navigating a sharp turn under wet conditions. The driver previously struggled to maintain control at 90 km/h on a dry track, where the tyre-to-road friction coefficient is 0.8. With rain affecting track conditions, the friction coefficient drops to 0.5, necessitating a recalculation of safe speed. The turn's angle is 7º, which influences the dynamics of the vehicle. The discussion emphasizes the need to apply physics principles, particularly the forces acting on a vehicle in circular motion, to derive the new speed.
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Homework Statement


You are hired as a physicist in a team of Formula 1. Your driver is driving in the
Germany Grand Prix on the Hockenheim track. After the test session taken in sunny day
you and the driver discuss about the sharpest turn on the track. He tells you that when
driving at 90 km/h he could hardly hold the track. During the Grand Prix, just ten laps to
go, it starts to rain. The driver decides to continue on the same tyres. You have to
calculate the new maximal safe speed at this turn. The tyre-to-road static friction
coefficient is 0.8 for dry and 0.5 for wet road conditions. What would be the speed if the
turn were profiled at an angle of 7º?


Homework Equations





The Attempt at a Solution



I don't even know how to start it
 
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welcome to pf!

hi kamosblue! welcome to pf! :wink:
kamosblue said:
… when driving at 90 km/h he could hardly hold the track.

The tyre-to-road static friction coefficient is 0.8 for dry …

start by finding the radius of curvature of the turn …

show us what you get :smile:
 
Maybe start by getting the equation for forces for a body following a circular path.
 
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