Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A circular tube of radius $R$ and cross-sectional radius $r$ ( $r < < R$ ) is filled completely with iron balls of the radius $ρ$ . Iron balls are just fitting into the tubes. The tension in the tube when it is rotated about its axis perpendicular to its plane with angular velocity $ω$

Options:

Answer:

Solution:

$∵ r < < R, m a s s / l e n g t h$ can be given by

$λ = \frac{m}{2 r} = \frac{\frac{4}{3} {πr}^{3} ρ}{2 r} = \frac{2}{3} π r^{2} ρ$

Now,

Tension in the tube is given by

$T = (λ . ω^{2} R) R = \frac{2}{3} π r^{2} ρ ω^{2} R . R$

$= \frac{2}{3} π ρ ω^{2} r^{2} R^{2}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Circular MotionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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