The coefficient of static friction between th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The necessary centripetal force for a car on a curved unbanked road is provided by the static friction force between the tyres and the road.For sa

Vedclass · Accepted Answer

$25 \,m$

Vedclass · Answer

(B) The necessary centripetal force for a car on a curved unbanked road is provided by the static friction force between the tyres and the road.For safe turning,the centripetal force must be less than or equal to the maximum static friction force:$\frac{mV^2}{r} \leq \mu mg$To find the maximum radius $r$ for a given speed $V$,we use the limiting case:$\frac{mV^2}{r} = \mu mg$$r = \frac{V^2}{\mu g}$Given values are $V = 10 \,ms^{-1}$,$\mu = 0.4$,and $g = 10 \,ms^{-2}$.Substituting these values into the equation:$r = \frac{10^2}{0.4 	imes 10}$$r = \frac{100}{4}$$r = 25 \,m$Thus,the maximum radius of curvature is $25 \,m$.

The coefficient of static friction between the road and tyres of a car is $0.4$. The maximum permissible speed of the car is $10 \,ms^{-1}$ on a curved unbanked road. Then the maximum radius of curvature of the road is (acceleration due to gravity $= 10 \,ms^{-2}$)

Similar Questions

$A$ car moves on a horizontal circular road of radius $16 \ m$ with an increasing speed at a constant rate of $3 \ m \ s^{-2}$. If the coefficient of friction between the road and the tyres is $0.5$,then the speed at which the car will skid is (assume $g = 10 \ m \ s^{-2}$): (in $m \ s^{-1}$)

$A$ cyclist on a level road takes a sharp circular turn of radius $3 \; m$ $(g = 10 \; m \cdot s^{-2})$. If the coefficient of static friction between the cycle tyres and the road is $0.2$,at which of the following speeds will the cyclist not skid while taking the turn?

$A$ car is negotiating a curved road of radius $R$. The road is banked at an angle $\theta$. The coefficient of friction between the tyres of the car and the road is $\mu_s$. The maximum safe velocity on this road is

Write the formula for the maximum safe speed of a vehicle moving on a flat curved road of radius $r$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module