EmSAT Achieve Exam > EmSAT Achieve Questions > The product of torque and angular displacemen...
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The product of torque and angular displacement is __________.
- a)Torque
- b)Work
- c)Power
- d)Angular momentum
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The product of torque and angular displacement is __________.a)Torqueb...
CONCEPT:
- Rotational motion: When a block is moving about a fixed axis on a circular path then this type of motion is called rotational motion.
- Torque (τ): It is the twisting force that tends to cause rotation.
- The point where the object rotates is known as the axis of rotation.
Mathematically it is written as,
τ = r F sin θ
Where r is the distance between the axis of rotation and point of application of force, F is force and θ is the angle between r and F.
- Rotational power (P): The rate of work done by torque is called power.
The power associated with torque is given by the product of torque and angular velocity of the body about an axis of rotation i.e.,
⇒ P = τ ω
Where τ = torque and ω = angular velocity
Angular momentum (L) = Rotational inertia (I) × Angular velocity (ω)
EXPLANATION:
Work done by the torque (W) = Torque (τ) × angular displacement (θ)
- The product of torque and angular displacement is work. So option 2 is correct.
EXTRA POINTS:
In rotational dynamics
- Moment of inertia is the analogue of mass
- Angular velocity is analogue of linear velocity
- Angular acceleration is analogue of linear acceleration
Thus, in linear motion mass x velocity = momentum
The analogues of the moment of inertia x angular velocity = angular momentum
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