Answer :
Answer:
The maximum speed of the car is 10.43 m/s.
Explanation:
Given that,
Mass of the car, m = 1900 kg
Radius of the curve, r = 84 m
Angle of banking, [tex]\theta=11^{\circ}[/tex]
The coefficient of static friction between the tires and the road is 0.68. We need to find the maximum speed of the car. It is given by :
[tex]v=\sqrt{\mu r g\tan\theta}[/tex]
[tex]v=\sqrt{0.68\times 84\times 9.8\times \tan(11)}[/tex]
v = 10.43 m/s
So, the maximum speed of the car is 10.43 m/s. Hence, this is the required solution.
Answer:
The maximum speed is 28.79 m/s.
Explanation:
Given that,
Mass of car = 1900 kg
Radius = 84.0 m
Angle = 11°
Coefficient static friction = 0.68
We need to calculate the maximum speed
Using formula of maximum speed
[tex]v_{max}=(rg\times\dfrac{\sin\theta+\mu\cos\theta}{\cos\theta-\mu\sin\theta})^{\frac{1}{2}}[/tex]
Where, r = radius
g = acceleration due to gravity
Put the value into the formula
[tex]v_{max}=(84.0\times9.8\times\dfrac{\sin11+0.68\times\cos11}{\cos11-0.68\times\sin11})^{\frac{1}{2}}[/tex]
[tex]v_{max}=28.79\ m/s[/tex]
Hence, The maximum speed is 28.79 m/s.