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Standard XII

Physics

Applying NLM along 3 Axis

Find the maxi...

Question

Find the maximum velocity with which a train can be moved on a circular track of radius $200 m$ . The banking of the track is ${5.71}^{o}$ (given, $tan {5.71}^{o} = 0.1$ )

1.4 m / s

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14 m / s

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140 m / s

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0.14 m / s

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Solution

The correct option is B $14 m / s$
Given : $θ = {5.71}^{o}$ $r = 200$ m
Maximum velocity $v = \sqrt{r g tan θ}$
$∴$ $v = \sqrt{200 \times 9.8 \times 0.1} = 14$ $m / s$

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Find the maximum velocity with which a train can be moved on a circular track of radius 200m. The banking of the track is 5.71o (given, tan5.71o=0.1)

The correct option is B 14m/sGiven : θ=5.71o r=200 mMaximum velocity v=√rgtanθ∴ v=√200×9.8×0.1=14 m/s

Find the maximum velocity with which a train can be moved on a circular track of radius $200 m$ . The banking of the track is ${5.71}^{o}$ (given, $tan {5.71}^{o} = 0.1$ )

The correct option is B $14 m / s$
Given : $θ = {5.71}^{o}$ $r = 200$ m
Maximum velocity $v = \sqrt{r g tan θ}$
$∴$ $v = \sqrt{200 \times 9.8 \times 0.1} = 14$ $m / s$