A cyclist on a level road takes a sharp circu | vedclass

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

Question

(B) The maximum speed $v_{m}$ at which the cyclist will not skid is given by the formula $v_{m} = \sqrt{\mu r g}$.Substituting the given values: $\mu

Vedclass · Accepted Answer

$7.2 \; km \cdot h^{-1}$

Vedclass · Answer

(B) The maximum speed $v_{m}$ at which the cyclist will not skid is given by the formula $v_{m} = \sqrt{\mu r g}$.Substituting the given values: $\mu = 0.2$,$r = 3 \; m$,and $g = 10 \; m \cdot s^{-2}$.$v_{m} = \sqrt{0.2 	imes 3 	imes 10} = \sqrt{6} \approx 2.45 \; m \cdot s^{-1}$.To convert this speed into $km \cdot h^{-1}$,we multiply by $\frac{18}{5}$:$v_{m} = 2.45 	imes 3.6 = 8.82 \; km \cdot h^{-1}$.The cyclist will not skid if their speed is less than or equal to $8.82 \; km \cdot h^{-1}$.Among the given options,$7.2 \; km \cdot h^{-1}$ is the only speed less than $8.82 \; km \cdot h^{-1}$.

$A$ 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?

Similar Questions

$A$ car is moving on a horizontal curved road with radius $50\,m$. The approximate maximum speed of the car will be $............\,ms^{-1}$,if the coefficient of friction between the tyres and the road is $0.34$. [Take $g = 10\,ms^{-2}$]

$A$ circular road of radius $1000\, m$ has a banking angle of $45^o$. The maximum safe speed of a car having a mass of $2000\, kg$ will be,if the coefficient of friction between the tyre and the road is $0.5$.

$A$ bead of mass $m$ stays at point $P(a, b)$ on a wire bent in the shape of a parabola $y = 4Cx^2$ and rotating with angular speed $\omega$ (see figure). The value of $\omega$ is (neglect friction).

How is centripetal force provided while taking a turn on a level circular track?

$A$ car of mass $m$ is moving on a level circular track of radius $R.$ If $\mu_s$ represents the static friction between the road and tyres of the car,the maximum speed of the car in circular motion is given by

Vedclass Test Series

Exam Paper Generator

Online Exam Module