A circular road of radius 1000 m has a banki | vedclass

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

Question

(A) The formula for the maximum safe speed on a banked road with friction is given by: $V_{max} = \sqrt{Rg \left( \frac{	an 	heta + \mu}{1 - \mu 	a

Vedclass · Accepted Answer

$172$

Vedclass · Answer

(A) The formula for the maximum safe speed on a banked road with friction is given by: $V_{max} = \sqrt{Rg \left( \frac{	an 	heta + \mu}{1 - \mu 	an 	heta} ight)}$ Given: Radius $R = 1000 \ m$,Banking angle $	heta = 45^o$,Coefficient of friction $\mu = 0.5$,Acceleration due to gravity $g = 9.8 \ m/s^2$. Substituting the values: $V_{max} = \sqrt{1000 	imes 9.8 	imes \left( \frac{	an 45^o + 0.5}{1 - 0.5 	an 45^o} ight)}$ Since $	an 45^o = 1$: $V_{max} = \sqrt{9800 	imes \left( \frac{1 + 0.5}{1 - 0.5 	imes 1} ight)}$ $V_{max} = \sqrt{9800 	imes \left( \frac{1.5}{0.5} ight)}$ $V_{max} = \sqrt{9800 	imes 3} = \sqrt{29400} \approx 171.46 \ m/s$. Rounding to the nearest integer,we get $172 \ m/s$.

$A$ 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 $0.5$, . . . . . . $m/s$.

Similar Questions

$A$ pressure $P-$ absolute temperature $T$ diagram was obtained when a given mass of gas was heated. During the heating process from state $1$ to state $2$,the volume:

The Nobel Prize was awarded to Paul Muller for the discovery of which of the following pesticides?

If $A=35^{\circ}, B=15^{\circ}$ and $C=40^{\circ}$,then $\tan A \cdot \tan B+\tan B \cdot \tan C+\tan C \cdot \tan A$ is equal to

The quadratic equations $x^2 - 6x + a = 0$ and $x^2 - cx + 6 = 0$ have one root in common. The other roots of the first and second equations are integers in the ratio $4 : 3$. Then the common root is

If $f: R \rightarrow R$ and $g: R^{+} \rightarrow R$ are such that $g\{f(x)\}=|\sin x|$ and $f\{g(x)\}=(\sin \sqrt{x})^2$,then a possible choice for $f$ and $g$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module