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2 physics questions about revolutions and speed in centripetal acceleration?
1. A sample of blood is placed in a centrifuge of radius 13.0 cm. The mass of a red blood cell is 3.0 10-16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 10-11 N. At how many revolutions per second should the centrifuge be operated?
2. A 2000 kg car rounds a circular turn of radius 17 m. If the road is flat and the coefficient of friction between tires and road is 0.74, how fast can the car go without skidding?
1 Answer
- Ossi GLv 79 years agoFavorite Answer
Hello
1)
F = mω^2R where ω = angular velocity
ω^2 = F*R/m
w^2 = 4*10^-11*0.13/(3*10^-16)
ω = 131.656 rad/s
ω = 2pif
f = ω/(2pi)
f = 131.656/(2pi)
f = 20.953 rps
2)
centrifugal force = friction force
mv^2/R = mgμ
v^2 = Rgμ
v^2 = 17*9.81*0.74
v = 11.108 m/s <- max velocity
Regards
