Kepler's second law states that a planet sweeps out equal areas in equal times, that is, the area divided by time, called the areal velocity, is constant.
: the rate of rotation around an axis usually expressed in radians or revolutions per second or per minute.
In geometry: The world system. Kepler's second law states that a planet moves in its ellipse so that the line between it and the Sun placed at a focus sweeps out equal areas in equal times.
: a vector quantity that is a measure of the rotational momentum of a rotating body or system, that is equal in classical physics to the product of the angular velocity of the body or system and its moment of inertia with respect to the rotation axis, and that is directed along the rotation axis.
Answer: When sand is poured on a rotating disc , the moment of inertia of the disc will increase , but the angular momentum of the disc will remain constant , and hence its angular velocity will decrease .
YesKepler's second law states that a planet accelerates as it approaches the Sun and decelerates as it moves farther from the Sun. As it orbits, the planet sweeps out equal areas in equal times. I think it is because the central gravity force is still the same causing the planet to still orbit the same.
Answer. Yes, it is true that the dimensional formula for speed and velocity are same. The dimensional formula for each scientific terms are mostly different from each other. Similarly,the dimensional formula of speed and velocity are also same.
When a physical quantity X depends on base dimensions M(Mass), L(Length) and T(Time), Temperature, current electricity, luminous intensity and amount of substance with respective powers a, b and c, its dimensional formula is represented as [MaLbTc].
The units for angular speed are radians per second (rad/s).
| Frequency |
|---|
| Other units | Baud (Bd) cycles per second (cps) revolutions per minute (rpm or r/min) solar neutrino unit (SNU) |
| In SI base units | s−1 |
| Derivations from other quantities | f = 1 ∕ T |
| Dimension | |
Dimensional Formula of Distance= M0L1T0. Dimensional Formula of Time= M0L0T1. SI unit of Distance traveled in nth second is ms-1.
The dynamic viscosity has the dimension ML-1T-1 and the unit of kg/m.s (or, N.s/m2 or Pa. s). A common unit of dynamic viscosity is poise which is equivalent to 0.1 Pa. s.
Length is the measure of one spatial dimension, whereas area is a measure of two dimensions (length squared) and volume is a measure of three dimensions (length cubed).
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
The
dimensional equation helps in expressing physical quantities in terms of the base or fundamental quantities.
Dimensional Equations.
| Physical Quantity | Dimensional Equation |
|---|
| Force (F) | [F] = [M L T-2] |
| Power (P) | [P] = [M L2 T-3] |
| Velocity (v) | [v] = [M L T-1] |
| Density (D) | [D] = [M L3 T0] |
On substituting equation (2) and (3) in equation (1) we get, Density = Mass × Volume-1. Or, (ρ) = [M1 L0 T0] × [M0 L3 T0]-1 = [M1 L-3 T0] Therefore, density is dimensionally represented as [M1 L-3 T0].
Stress = Force × [Area]-1. Or, Stress = [M1 L1 T-2] × [M0 L2 T0]-1 = [M1 L-1 T-2] Therefore, stress is dimensionally represented as [M1 L-1 T-2].
In total, there are seven primary dimensions. Primary (sometimes called basic) dimensions are defined as independent or fundamental dimensions, from which other dimensions can be obtained. The primary dimensions are: mass, length, time, temperature, electric current, amount of light, and amount of matter.
The definition of dimensional is something a shape that can be measured. An example of dimensional is a physical object with length, width and depth, like a table. adjective.
We can calculate work by multiplying the force by the movement of the object. W = F × d. Unit. The SI unit of work is the joule (J)
Power Formula. Power is a rate at which work is done, or energy is used. It is equal to the amount of work done divided by the time it takes to do the work. The unit of power is the Watt (W), which is equal to a Joule per second (J/s). P = power (W, or J/s)
Power (P) is the rate at which energy is transferred or converted. Thus, power equals work divided by time (P = W / t). The SI unit of power is the watt (W), in honor of Scottish inventor James Watt (1736 - 1819). One watt equals one joule per second (W = J / s).
Or, P = [M1 L1 T-2] × [L2]-1 = M1 L-1 T -2. Therefore, the pressure is dimensionally represented as M1 L-1 T -2.
