A 1100 kg car is traveling around a flat 82.3 m radius curve. The coefficient of static friction between the car tires and the road is .521. What is the maximum speed in m/s at which the car can take the curve?

Respuesta :

Answer:

The maximum speed of car will be 20.5m/sec

Explanation:

We have given mass of car = 1100 kg

Radius of curve = 82.3 m

Static friction [tex]\mu _s=0.521[/tex]

We have to find the maximum speed of car

We know that at maximum speed centripetal force will be equal to frictional force [tex]m\frac{v^2}{r}=\mu _srg[/tex]

[tex]v=\sqrt{\mu _srg}=\sqrt{0.521\times 82.3\times 9.8}=20.5m/sec[/tex]

So the maximum speed of car will be 20.5m/sec

Answer:20.51 m/s

Explanation:

Given

Mass of car(m)=1100 kg

radius of curve =82.3 m

coefficient of static friction([tex]\mu [/tex])=0.521

here centripetal force is provided by Friction Force

[tex]F_c(centripetal\ force)=\frac{mv^2}{r}[/tex]

Friction Force[tex]=\mu N[/tex]

where N=Normal reaction

[tex]\frac{mv^2}{r}=\mu N[/tex]

[tex]\frac{1100\times v^2}{82.3}=0.521\times 1100\times 9.81[/tex]

[tex]v^2=0.521\times 9.81\times 82.3[/tex]

[tex]v=\sqrt{420.63}=20.51 m/s [/tex]