The road is flat and the curve has a radius of curvature of 100 m. If the coeffi

Question

The road is flat and the curve has a radius of curvature of 100 m. If the coefficient of static 2. A car rounds a curve. ween the car's tires and the road is 0.8, what will be the maximum speed that the car can be traveling without sliding off the road? 3. A student weighing and that rotations at a) the car is at the top?, b) the car is at the bottom? and c) the car is hallway up to the top? 160 lb stands on a bathroom scale while located in a car of a Ferris Wheel that has a radius of 40 m a uniform rate such that the student's car reaches the top every 60 s. What does the scale read when

Explanation / Answer

2)

static force fs = us*m*g

centripetal force Fc = m*v^2/R

Fc = fs

m*v^2/R = us*m*g

v = sqrt(us*g*R)

v = sqrt(0.8*9.8*100)

v = 28 m/s

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3)

angular speed w = 2pi/T = 2pi/60 = 0.105 /s

weight W = 160 lb = 160*0.454 kg = 72.64 kg

a)

N - mg = -m*R*w^2

N = mg - m*R*w^2

N = (72.64*9.8)-(72.68*40*0.105^2)

N = 679.8 N       <<<<<<------ANSWER

(b)

N - mg = m*R*w^2

N = mg + m*R*w^2

N = (72.64*9.8)+(72.68*40*0.105^2)

N = 743.9 N       <<<<<<------ANSWER

(c)

along vertical

Fnet = N - mg = 0

N = mg = (72.64*9.8)

N = 711.8 N <<<<<<------ANSWER

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