一公路上有一圓弧形彎道 係為54km/hr的車速設計

2013-01-24 7:15 am
一公路上有一圓弧形彎道 係為54km/hr的車速設計

1.若圓弧半徑R=150m 則此公路的請斜角西搭 tan西搭為何

2.若彎道不傾斜 如仍維持行車安全 則輪胎與路面間的靜摩擦係數最小值應為若干(g=10m/s平方)
更新1:

1. 54km/h=15m/h tan西搭=v平方/gR =15平方/10*150 =0.15 2. us>=v平方/gR =0.15

回答 (1)

2013-01-24 7:35 am
✔ 最佳答案
1. 54 km/h = 15 m/s
Let R be the normal reaction acting on the car
R.cos(theta) = mg where m is the mass of the car
R.sin(theta) = m(15)^2/150

Dividing, tan(theta) = (15^2)/150g = 0.15 (take g = 10 m/s^2)
Angle (theta) = 8.53 degrees

2. Frictional force Ff = u.R where u is the coefficient of friction
But R = mg
Hence, Ff = u.mg

Therefore, u.mg = m(15^2)/150
u = 15^2/150g = 0.15


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