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Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A coin is of mass $4.8 kg$ and radius $1 m$ is rolling on a horizontal surface without sliding, with an angular velocity of $600 rad \min^{- 1} .$ The total kinetic energy of the coin is

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Answer:

Solution:

Angular velocity is given by, $ω = 600 rad \min^{- 1}$

$ω = 10 rad s^{- 1}$

$k = \frac{1}{2} I ω^{2} + \frac{1}{2} m v^{2}$

$= \frac{1}{2} \times \frac{1}{2} m r^{2} ω^{2} + \frac{1}{2} \times m {(ω r)}^{2}$

$= \frac{1}{4} \times m ω^{2} r^{2} + \frac{1}{2} m ω^{2} r^{2} = (\frac{1}{4} + \frac{1}{2}) m ω^{2} r^{2}$

$= 360 J$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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