Asked by Anonymous
A car travels around an unbanked highway curve (radius 0.15 km) at a constant speed of 25 m/s. What is the magnitude of the resultant force acting on the driver, who weighs 0.8kN?
Answers
Answered by
Neam
Centripetal force f = mV²/r = mrω²
ω is angular velocity in radians/sec
1 radian/sec = 9.55 rev/min
m is mass in kg
r is radius of circle in meters
V is the tangental velocity in m/s
f is in Newtons
m = w/g = 800/9.8 = 81.6 kg
F = mV²/r = 81.6(25)² / (150) = 340 N
ω is angular velocity in radians/sec
1 radian/sec = 9.55 rev/min
m is mass in kg
r is radius of circle in meters
V is the tangental velocity in m/s
f is in Newtons
m = w/g = 800/9.8 = 81.6 kg
F = mV²/r = 81.6(25)² / (150) = 340 N
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