Welcome to AZForumla.com - Website dedicated to provide you the formulae which you might need in your computations. Browse Formulas

What is the formula for Acceleration due to gravity at the surface of the Earth?

If M is the mass of the earth, m is the mass of the body which is at the surface of the earth and R is the  distance between body and centre of the earth (which is the radius of the earth) . According to the Newton’s law of gravitation the gravitational force experienced by that mass m is given as,

F  =  G M m/R 2  ………………………(1)

As per Newton’s second law of motion, Force = mass × gravity = mg

Substituting value of force in equation 1 we get,

G M m/R 2 = m g

The formula for Acceleration due to gravity at the surface of the Earth is given as,

g = G M /R 2

Where g =  Acceleration due to gravity, G = Universal Gravitational Constant, M = mass of the earth and R = radius of the earth

posted in GRAVITATION | 0 Comments

What is the formula for Newton’s law of gravitation?

Every particle of matter will attract other particle of matter with a force that is directly proportional to product of mass and inversely proportional to square of the distance between them.

The formula for Newton’s law of gravitation is given as,

            F ∝ m1 m2 / r 2

Magnitude of Gravitational Force ( F)  =  G (m1 m2 / r 2)

Where G = Universal Gravitational Constant, m1= mass of particle 1, m2 = mass of particle 2 , r = the distance between the centers of the masses

The value of Universal Gravitational Constant(G) = 6.6733 x 10 -11 N . (m / kg)2

posted in GRAVITATION | 0 Comments

What is Dimensional Formula of Gravitational Potential Energy?

The Gravitational Potential Energy of a body at a point in a gravitational field is defined as the amount of work done in bringing the body from infinity to that point without acceleration.The gravitational potential energy at a point is always negative.

Mathematically,

Gravitational Potential Energy  = Gravitational Potential X mass of body (m).

Dimensional formula of Gravitational Potential = M0L2T-2
Dimensional formula of Mass = M1L0T0

Putting these values in above equation we get,

The Dimensional formula of Gravitational Potential Energy is M1L2T-2.
The SI unit of Gravitational Potential Energy is Joule (J).

posted in Dimensional Formulae | 0 Comments

What is the dimensional formula of Gravitational Field Intensity or Gravitational Strength?

Gravitational Field Intensity or Gravitational Strength at a point is defined as the gravitational force exerted on a unit mass placed at that point.

Mathematically,

Gravitational Field Intensity or Gravitational Strength = GM /r2
where G = Gravitational Constant, M = mass and r = distance from the centre of the body to the point.

Dimensional Formula of Universal Constant of Gravitation = M-1L3T-2
Dimensional Formula of Mass = M1L0T0
Dimensional Formula of Radius = M0L1T0

Substituting in the above equation we get,
Dimensional Formula of Gravitational Field Intensity or Gravitational Strength = M0L1T-2
SI unit of Gravitational Field Intensity or Gravitational Strength is N kg-1 or it can also be written as m s-1

Note: Gravitational Field Intensity is often referred as Gravitational Field.

posted in Dimensional Formulae | 0 Comments

What is the Dimensional Formula of Spring Constant?

Spring Constant is defined as restoring force per unit displacement. Force is directly proportional to the displacement of the system. It can also be stated as force needed to compress or extend a spring is directly proportional to the displacement of the spring.

Mathematically,

Spring Constant = Force/Displacement

Dimensional Formula of Force = M1L1T-2
Dimensional Formula of Displacement = M0L1T0

So Dimensional Formula of Spring Constant = M1L0T-2
SI unit of Spring Constant is Nm-1

posted in Dimensional Formulae | 0 Comments

Page 1 of 2712345...1020...Last »

Categories

Advertisements