You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Physics

Torque

A car is movi...

Question

A car is moving on a frictionless (in the radial direction) circular banked road, with a banking angle of $15^{o}$ , find the velocity of the car.
Mass of car is $600 k g$ , the radius of the circular road $= 10 m$
Assume $g = 9.81 m / s^{2}$

4.26 m/s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5.12 m/s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

51.2 m/s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

42.6 m/s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 5.12 m/s
We know that the force acting on the car = mg $t a n (θ)$
$\Rightarrow \frac{m v^{2}}{r} = m g t a n (θ)$
$\Rightarrow v^{2} = r g t a n (θ)$
$\Rightarrow v^{2} = 10 \times 9.81 \times 0.268$
$\Rightarrow v = 5.12 m / s$

Suggest Corrections

Similar questions

Q. If a car is moving at a velocity

v

in a circular road with coefficient of friction

μ

and banking angle

θ

. Find the radius of the road such that friction force doesn't act on the car in the radial direction.

Q. A car of mass

1000 kg

negotiates a banked curve of radius

90 m

on a frictionless road. If the banking angle is

45^{\circ}

, the speed of car is (Take

g = 10 {m/s}^{2}

)

Q. A car is moving on a road with a radius of curvature

70 m

banked at an angle of

45^{\circ}

. The coefficient of static friction between the road and the wheels of the car is

μ_{s} = 0.15

. Take

g = 10 {m/s}^{2}

. If the speed of the car is

20 m/s

, then will the car skid ? If so, in what direction?

Q. A circular road of radius

1000 m

has a banking angle of

45^{\circ}

. The maximum safe speed (in

m/s

) of a car having a mass

2000 kg

will be (if the coefficient of friction between the tyres and the road is

0.3

) (Take

g = 10 {m/s}^{2}

)

Q. A car of mass

1000 kg

negotiates a banked curve of radius

90 m

on a frictionless road. If the banking angle is

45^{\circ}

, the speed of the car is:
Take

g = 10 {m/s}^{2}

Join BYJU'S Learning Program

A car is moving on a frictionless (in the radial direction) circular banked road, with a banking angle of 15o, find the velocity of the car.Mass of car is 600 kg, the radius of the circular road =10m Assume g=9.81 m/s2

The correct option is B 5.12 m/sWe know that the force acting on the car = mgtan(θ)⇒mv2r=mg tan(θ)⇒v2=rg tan(θ)⇒v2=10×9.81×0.268⇒v=5.12 m/s

A car is moving on a frictionless (in the radial direction) circular banked road, with a banking angle of $15^{o}$ , find the velocity of the car.
Mass of car is $600 k g$ , the radius of the circular road $= 10 m$
Assume $g = 9.81 m / s^{2}$

The correct option is B 5.12 m/s
We know that the force acting on the car = mg $t a n (θ)$
$\Rightarrow \frac{m v^{2}}{r} = m g t a n (θ)$
$\Rightarrow v^{2} = r g t a n (θ)$
$\Rightarrow v^{2} = 10 \times 9.81 \times 0.268$
$\Rightarrow v = 5.12 m / s$