What is the dimension of moment of inertia and torque?
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What is the dimension of moment of inertia and torque?
Or, I = [M1 L2 T0] × [M0 L0 T-2] = [M L2 T-2]. Therefore, the torque is dimensionally represented as [M L2 T-2].
What is the dimension of a moment?
The dimensional formula for the moment of force is [M1L2T−2].
What are the units and dimensions of moment of inertia class 11?
What are the types of moment of inertia units?
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How do you find the dimensional formula of moment of inertia?
The dimensional formula of moment of inertia is given by,
- M1L2T0.
- Since, the dimensional formula of mass =M1L0T0……(
- And, the dimensions of the radius of gyration=M0L1T0…..(
- Or, MOI=[M1L0T0]×[M0L1T0]2=M1L2T0.
- Therefore, the moment of inertia is dimensionally represented asM1L2T0.
What is dimension in space?
The world as we know it has three dimensions of space—length, width and depth—and one dimension of time. According to string theory, one of the leading physics model of the last half century, the universe operates with 10 dimensions.
What is moment of inertia write its SI unit and dimension formula write the factor on which moment of inertia depend?
Moment of inertia of a rigid body about an axis of rotation is defined as the sum of product of each point mass and square of its perpenducular distance from the axis of rotation. The S.I. unit of moment of inertia is kg. m2.
What is the dimension of wavelength?
Therefore, the wavelength is dimensionally represented as [M0 L1 T0].
How do you determine the moment of inertia?
Calculate the rotational inertia or the moment of inertia by multiplying the mass of the object with square of the distance between the object and the axis, the radius of rotation.
What is the physical significance of moment of inertia?
Greater the mass concentrated away from the axis,superior the moment of inertia. Moment of inertia of a body is dissimilar with reverence to the different axis of rotation.
What is the origin of the moment of inertia?
In 1673 Christiaan Huygens introduced this parameter in his study of the oscillation of a body hanging from a pivot, known as a compound pendulum. The term moment of inertia was introduced by Leonhard Euler in his book Theoria motus corporum solidorum seu rigidorum in 1765, and it is incorporated into Euler’s second law .
What is the equation for the moment of inertia?
Dimensional Formula of Moment of Inertia M = Mass L = Length T = Time