What is the dimensional formula of G?
Or, G = [M1 L1 T-2] × [L]2 × [M]-2 = [M-1 L3 T-2]. Therefore, the gravitational constant is dimensionally represented as M-1 L3 T-2.
What is the dimensional formula of time period?
Or, T = √[M0 L1 T0] × [M0 L1 T-2]-1 = √[T2] = [M0 L0 T1]. Therefore, the time period is dimensionally represented as [M0 L0 T1].
What is the dimensional formula of latent heat?
M1L2T−2.
What is the dimensional formula of radius?
Physicists often use square brackets around the symbol for a physical quantity to represent the dimensions of that quantity. For example, if r is the radius of a cylinder and h is its height, then we write [r] = L and [h] = L to indicate the dimensions of the radius and height are both those of length, or L.
What is the dimensional formula of 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 dimensional formula of force?
Thus, the dimensions of force are, 1 in mass, 1 in length and – 2 in time. Dimensional formula of force is = [M1 L1 T-2] Dimensional equation of force is [force] = [M1 L1 T-2] As discussed above you can find the dimensions of any given physical quantities.
What is the formula of radius of gyration answer?
Mechanics: Here radius of gyration about an axis of rotation is calculated using mass moment of inertia and its formula is given by relation, k=√IM(1) (1) k = I M This equation (1) is the radius of gyration formula for mass moment of inertia.
Why do we calculate radius of gyration?
The gyration radius is useful in estimating the stiffness of a column. If the principal moments of the two-dimensional gyration tensor are not equal, the column will tend to buckle around the axis with the smaller principal moment.
What is radius of gyration class 11th?
Radius of gyration is generally defined as the distance from the axis of rotation to a point where total mass of any body is supposed to be concentrated, so that the moment of inertia about the axis may remain same. Simply, gyration is the distribution of the components of an object.
What is the relation between torque and radius of gyration?
Radius of Gyration defined as the distance from the axis of rotation to a point where the total mass of the body is supposed to be concentrated so that the moment of inertia about the axis may remain the same The moment of inertia of a body about a given axis is equal to the torque required to produce unit angular …
What is torque equal to?
The torque, specified with regard to the axis of rotation, is equal to the magnitude of the component of the force vector lying in the plane perpendicular to the axis, multiplied by the shortest distance between the axis and the direction of the force component. …