If this speed is based on what would be safe in wet weather, estimate the radius of curvature for a curve marked 50 km/h. The coefficient of static friction of rubber on wet concrete is μs=0.7, the coefficient of kinetic friction of rubber on wet concrete is μk=0.5.

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Physics

Lauren Spencer

25 May, 03:22

If this speed is based on what would be safe in wet weather, estimate the radius of curvature for a curve marked 50 km/h. The coefficient of static friction of rubber on wet concrete is μs=0.7, the coefficient of kinetic friction of rubber on wet concrete is μk=0.5.

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Parker Nolan · Answer 1

v = 50 km / h

= 13.89 m / s

When a vehicle runs on a circular path, it is static friction which prevents it from getting overturned.

static friction = μs mg

centripetal force = m v² / R

m v² / R = μs mg

R = v² / μs x g

= 13.89² /.7 x 9.8

= 28.12 m.