A cylist on a level road takes a sharp circular turn of radius 3m ( g = 10 m`cdot s^(-2)` ). If the coefficient of static friction between the cycle tyre and the road is 0.2, at which of the following speeds will the cyclist not skid while taking the turn?
A
`14.4 " ""km"cdot h^(-1)`
B
`7.2 " ""km"cdot h^(-1)`
C
`9 " ""km"cdot h^(-1)`
D
`10.8 " ""km"cdot h^(-1)`
Text Solution
Verified by Experts
The maximum speed at which the cyclist will not skid is, `v_(m) = sqrt(mu r g ) = sqrt( 0.2 xx 3 xx 10) = 2.45` m/s ` = (2.45 xx 60 xx 60 )/(1000)` km/h = 8.82 km.`h^(-1)` Among the given options 7.2 km`cdot h^(-1)` is less than this. The option B is correct.
A cyclist on a level road takes a sharp circular turn of radius 3 m (g = 10 ms^(-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 cyclist speeding at 18 km/h on a level rod takes a sharp circular turn of radius 3 m without reducing the speed and without spending towards the centre of the circular path. The coefficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?
Calculate the maximum speed with which a vehicle can travel on a banked circular road without skidding. A cyclist at a 18 km/h on a level road takes a sharp turn of radius 3 m without reducing the speed. The coefficient of static friction between the tyres and the road is 1. Will cyclist slip while taking the turn?
A circular race track of radiu 400 m is banked at an angle of 10^(@) . If the coefficient of friction between the wheels of a race car and the road is 0.2, what is the (i) optimum speed of the race car to avoid wear and tear on its tyres? maximum permissible speed to avoid slipping?
CHHAYA PUBLICATION-CIRCULAR MOTION-EXAMINATION ARCHIVE WITH SOLUTIONS (NEET)
