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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

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5.12 m/s

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51.2 m/s

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42.6 m/s

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Solution

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

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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 $t a n (θ)$
$\Rightarrow \frac{m v^{2}}{r} = m g t a n (θ)$
$\Rightarrow v^{2} = r g t a n (θ)$
$\Rightarrow v^{2} = 10 \times 9.81 \times 0.268$
$\Rightarrow v = 5.12 m / s$