= Unit of work done is Joule. Therefore, the dimension formula of work is represented as [M1 L2 T-2] .
What is the dimension for work?
Or, W = [M 1 L 1 T – 2 ] × [M 0 L 1 T 0 ] = [M 1 L 2 T – 2 ]. Therefore, work is dimensionally represented as [M 1 L 2 T – 2 ] .
What is the dimensional formula of pressure and work?
Derivation. Or, P = [M 1 L 1 T – 2 ] × [L 2 ] – 1 = M 1 L – 1 T – 2 . Therefore, the pressure is dimensionally represented as M 1 L – 1 T – 2 .
What is the basic formula for work?
To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd . If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.
What are the 7 fundamental dimensions?
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.
What is the dimensional formula for energy?
Derivation. Or, E = [M] × [L 1 T – 1 ] 2 = M 1 L 2 T – 2 . Therefore, energy is dimensionally represented as M 1 L 2 T – 2 .
What is the dimensional formula of stress?
Therefore, dimensional formula of stress is represented as M1L−1T−2 .
What is dimensional formula of viscosity?
Viscosity = Force × [Area × Velocity] – 1 × Distance between layers. Or, η = [M 1 L 1 T – 2 ] × [M 0 L 2 T 0 ] – 1 × [M 0 L 1 T – 1 ] – 1 × [M 0 L 1 T 0 ] = [M 1 L – 1 T – 1 ]. Therefore, viscosity is dimensionally represented as [M 1 L – 1 T – 1 ] .
How do you write dimensional formula of pressure?
P=FA , here P is the pressure on a surface due to a force of F perpendicular to the surface of area A . F=ma , here F is the force acting on a particle of mass m which is moving with acceleration a . Hence, the dimensional formula of the pressure is [M1L−1T−2] .
What is current formula?
The current formula is given as I = V/R . The SI unit of current is Ampere (Amp).
What is the 3 version of work formula?
Three quantities must be known in order to calculate the amount of work. Those three quantities are force, displacement and the angle between the force and the displacement .
What is SI unit of work done?
Units. The SI unit of work is the joule (J) , named after the 19th-century English physicist James Prescott Joule, which is defined as the work required to exert a force of one newton through a displacement of one metre.
What are the 7 basic units?
- Length – meter (m)
- Time – second (s)
- Amount of substance – mole (mole)
- Electric current – ampere (A)
- Temperature – kelvin (K)
- Luminous intensity – candela (cd)
- Mass – kilogram (kg)
What is SI unit of mass?
The SI unit of mass is the kilogram (kg) . ... Thus, the SI unit of the quantity weight defined in this way (force) is the newton (N).
What are the basic fundamental dimensions?
The fundamental dimensions used in mechanics are time, mass, and length . Symbolically, these are written as t, m, and l, respectively. The study of electromagnetism adds an additional fundamental dimension, electric charge, or q. Other quantities have dimensions compounded of these.
What is a formula of energy?
The energy stored in an object due to its position and height is known as potential energy and is given by the formula: P.E. = mgh . Unit . The SI unit of energy is Joules (J).
