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Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it?
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Torque =I(alpha) for an object rotating about a fixed axis where torqu...
Explanation:
Newton's 2nd law: Newton's second law states that the net force acting on an object is directly proportional to its acceleration. The equation for Newton's second law is F = ma, where F is the net force acting on an object, m is the mass of the object, and a is its acceleration.
Rotational motion: In rotational motion, torque is the net force that causes an object to rotate about an axis. The equation for torque is τ = r × F, where τ is the torque, r is the distance from the axis of rotation to the point where the force is applied, and F is the force applied.
Angular acceleration: Angular acceleration is the rate of change of angular velocity. The equation for angular acceleration is α = Δω/Δt, where α is the angular acceleration, Δω is the change in angular velocity, and Δt is the time interval over which the change occurs.
Rotational inertia: Rotational inertia is the resistance of an object to changes in its rotational motion. The equation for rotational inertia is I = Σmr², where I is the rotational inertia, Σm is the sum of the masses of all the particles in the object, and r is the distance from each particle to the axis of rotation.
Torque = I(alpha): When an object is rotating about a fixed axis, the net torque acting on it is directly proportional to its rotational inertia and angular acceleration. The equation for this relationship is τ = Iα, where τ is the torque, I is the rotational inertia, and α is the angular acceleration.
Conclusion: Therefore, the expression Torque = I(alpha) for an object rotating about a fixed axis follows directly from Newton's 2nd law, which states that the net force acting on an object is directly proportional to its acceleration. In rotational motion, torque is the net force that causes an object to rotate about an axis, and the equation for torque is τ = r × F. Angular acceleration is the rate of change of angular velocity, and the equation for angular acceleration is α = Δω/Δt. Rotational inertia is the resistance of an object to changes in its rotational motion, and the equation for rotational inertia is I = Σmr². When an object is rotating about a fixed axis, the net torque acting on it is directly proportional to its rotational inertia and angular acceleration, and the equation for this relationship is τ = Iα.
Newton's 2nd law: Newton's second law states that the net force acting on an object is directly proportional to its acceleration. The equation for Newton's second law is F = ma, where F is the net force acting on an object, m is the mass of the object, and a is its acceleration.
Rotational motion: In rotational motion, torque is the net force that causes an object to rotate about an axis. The equation for torque is τ = r × F, where τ is the torque, r is the distance from the axis of rotation to the point where the force is applied, and F is the force applied.
Angular acceleration: Angular acceleration is the rate of change of angular velocity. The equation for angular acceleration is α = Δω/Δt, where α is the angular acceleration, Δω is the change in angular velocity, and Δt is the time interval over which the change occurs.
Rotational inertia: Rotational inertia is the resistance of an object to changes in its rotational motion. The equation for rotational inertia is I = Σmr², where I is the rotational inertia, Σm is the sum of the masses of all the particles in the object, and r is the distance from each particle to the axis of rotation.
Torque = I(alpha): When an object is rotating about a fixed axis, the net torque acting on it is directly proportional to its rotational inertia and angular acceleration. The equation for this relationship is τ = Iα, where τ is the torque, I is the rotational inertia, and α is the angular acceleration.
Conclusion: Therefore, the expression Torque = I(alpha) for an object rotating about a fixed axis follows directly from Newton's 2nd law, which states that the net force acting on an object is directly proportional to its acceleration. In rotational motion, torque is the net force that causes an object to rotate about an axis, and the equation for torque is τ = r × F. Angular acceleration is the rate of change of angular velocity, and the equation for angular acceleration is α = Δω/Δt. Rotational inertia is the resistance of an object to changes in its rotational motion, and the equation for rotational inertia is I = Σmr². When an object is rotating about a fixed axis, the net torque acting on it is directly proportional to its rotational inertia and angular acceleration, and the equation for this relationship is τ = Iα.
Community Answer
Torque =I(alpha) for an object rotating about a fixed axis where torqu...
Newton second law is " F =MA" ,it is comparable to the above equation because torque is rotational analogue of force and MOI IS rotational analogue of mass ,
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Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it?
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Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it?.
Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it?.
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Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it?, a detailed solution for Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it? has been provided alongside types of Torque =I(alpha) for an object rotating about a fixed axis where torque is the net torque acting on it , I is its rotational inertia ,and alpha is its angular acceleration. This expression A)follows directly from Newton's 2nd law B)is the definition of angular acceleration C)is the definition of rotational inertia D)is the definition of torque Correct option is A.please explain it? theory, EduRev gives you an
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