The angular velocity of a body is ω → = 2 i ^ + 3 j ^ + 4 k ^ and a torque τ → = i ^ + 2 j ^ + 3 k ^ acts on it. The rotational power will be

We know that P = τ → . ω → = i ^ + 2 j ^ + 3 k ^ . 2 i ^ + 3 j ^ + 4 k ^ P = 2 + 6 + 12 = 20 W

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Physics - Rotation Question with Solution | TestHub

PhysicsRotationRotational KinematicsEasy2 minPYQ_2020

PhysicsEasysingle choice

The angular velocity of a body is $\vec{ω} = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}$ and a torque $\vec{τ} = \hat{i} + 2 \hat{j} + 3 \hat{k}$ acts on it. The rotational power will be

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Answer:

Solution:

We know that

$P = \vec{τ} . \vec{ω} = (\hat{i} + 2 \hat{j} + 3 \hat{k}) . (2 \hat{i} + 3 \hat{j} + 4 \hat{k})$

$P = 2 + 6 + 12 = 20 W$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Rotational Kinematics

⏱ 2mℹ️ Source: PYQ_2020

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