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A body of mass 2 kg and radius of gyration 2 m is rotating with ab angular acceleration 4 rad/s2. the torque acting on the particle is 1) 16 2) 32 3) 8 4) 48?
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A body of mass 2 kg and radius of gyration 2 m is rotating with ab ang...
Torque is equal to I.alfa.I is equal to MKsqure here M is equal to 2.K is equal to 2& Alfa is equal to 4.then answer is 32.
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A body of mass 2 kg and radius of gyration 2 m is rotating with ab ang...
The torque acting on a rotating body can be calculated using the formula:
Torque (τ) = Moment of Inertia (I) × Angular Acceleration (α)
To find the torque acting on the particle, we need to first calculate the moment of inertia of the body. The moment of inertia (I) is given by:
I = mass (m) × radius of gyration (k)²
Given that the mass (m) is 2 kg and the radius of gyration (k) is 2 m, we can substitute these values into the equation to find the moment of inertia:
I = 2 kg × (2 m)² = 8 kg·m²
Now we can substitute the moment of inertia and the given angular acceleration (α) of 4 rad/s² into the torque formula:
Torque (τ) = 8 kg·m² × 4 rad/s² = 32 N·m
Therefore, the torque acting on the particle is 32 N·m.
Explanation:
- The torque acting on a rotating body can be calculated using the formula: Torque (τ) = Moment of Inertia (I) × Angular Acceleration (α).
- The moment of inertia (I) is given by the product of the mass (m) and the square of the radius of gyration (k)².
- Given the mass (m) of 2 kg and the radius of gyration (k) of 2 m, we can calculate the moment of inertia as 8 kg·m².
- Substituting the moment of inertia and the given angular acceleration (α) of 4 rad/s² into the torque formula, we find the torque acting on the particle to be 32 N·m.
Torque (τ) = Moment of Inertia (I) × Angular Acceleration (α)
To find the torque acting on the particle, we need to first calculate the moment of inertia of the body. The moment of inertia (I) is given by:
I = mass (m) × radius of gyration (k)²
Given that the mass (m) is 2 kg and the radius of gyration (k) is 2 m, we can substitute these values into the equation to find the moment of inertia:
I = 2 kg × (2 m)² = 8 kg·m²
Now we can substitute the moment of inertia and the given angular acceleration (α) of 4 rad/s² into the torque formula:
Torque (τ) = 8 kg·m² × 4 rad/s² = 32 N·m
Therefore, the torque acting on the particle is 32 N·m.
Explanation:
- The torque acting on a rotating body can be calculated using the formula: Torque (τ) = Moment of Inertia (I) × Angular Acceleration (α).
- The moment of inertia (I) is given by the product of the mass (m) and the square of the radius of gyration (k)².
- Given the mass (m) of 2 kg and the radius of gyration (k) of 2 m, we can calculate the moment of inertia as 8 kg·m².
- Substituting the moment of inertia and the given angular acceleration (α) of 4 rad/s² into the torque formula, we find the torque acting on the particle to be 32 N·m.
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A body of mass 2 kg and radius of gyration 2 m is rotating with ab angular acceleration 4 rad/s2. the torque acting on the particle is 1) 16 2) 32 3) 8 4) 48?
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A body of mass 2 kg and radius of gyration 2 m is rotating with ab angular acceleration 4 rad/s2. the torque acting on the particle is 1) 16 2) 32 3) 8 4) 48? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 2 kg and radius of gyration 2 m is rotating with ab angular acceleration 4 rad/s2. the torque acting on the particle is 1) 16 2) 32 3) 8 4) 48? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 2 kg and radius of gyration 2 m is rotating with ab angular acceleration 4 rad/s2. the torque acting on the particle is 1) 16 2) 32 3) 8 4) 48?.
A body of mass 2 kg and radius of gyration 2 m is rotating with ab angular acceleration 4 rad/s2. the torque acting on the particle is 1) 16 2) 32 3) 8 4) 48? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 2 kg and radius of gyration 2 m is rotating with ab angular acceleration 4 rad/s2. the torque acting on the particle is 1) 16 2) 32 3) 8 4) 48? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 2 kg and radius of gyration 2 m is rotating with ab angular acceleration 4 rad/s2. the torque acting on the particle is 1) 16 2) 32 3) 8 4) 48?.
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