Weight Equation

Weight Equation

The Weight Equation is used to find the exact weight of the body on a particular field of gravity. Weight is a force experienced by any mass due to gravity. Newton is the SI unit of weight. W is used to denote weight. Weight may vary depending upon the force of gravity experienced by the body. The Weight Equation (w = m * g). it calculates net force of gravity on a mass (its weight)  based on the acceleration due to gravity (g) and mass (m).

INSTRUCTIONS: Choose units and enter the following:

• (m) mass
• (g) acceleration due to gravity

                (m) Mass

Mass is defined as the amount of matter present in a body. The SI unit of mass is the kilogram (kg). The formula of mass can be written as:

•  mass=density × volume (m=ρV). Density is a measure of mass per unit of volume  (ρ = M/V)calculate density, so the mass of an object can be determined by multiplying density by volume.

 Example

A cylinder with volume 5,000 cm3 and density 3.52 g/cm3. find the cylinder's mass,

  multiply 5,000 cm3 x 3.52 g/cm3 = 17,600 grams

 1000grams is equal to 1 kilogram

  17600/100

  17.6kg

•    mass=force ÷ acceleration (m=F/a). According to Newton’s second law (F=ma), the acceleration of an object is directly proportional to the force applied to it. Consequently, the amount of    acceleration accompanying the application of a constant force is inversely proportional to the mass. F=(M * A) Click here

   For example, say that we apply a 748 N force to a metal cube, and we measure its acceleration as 21m/s2. What is the mass of the metal cube?

  m=F/a

  m=(748N)/(21m/s2) ≈ 35.62 kg

•    mass= weight÷ gravitational acceleration (m=W/g)Click here. Weight is the product of the acceleration of mass in a gravitational            field. Depending on the strength of gravitational acceleration, the  weight  will be different.            

             (g) acceleration due to gravity 

 The acceleration due to gravity is different based on the mass of the star, planet, moon or asteroid and the distance from its center of mass and its surface.  For that reason, gravity has a lesser pull on bodies of lesser mass or density than the Earth such as the moon.  The formula for acceleration due to gravity is:
    
                            g = (G•M)/R² =  Click here

                Where:

•   g is the acceleration due to gravity.

The acceleration gained by an object due to gravitational force is known as acceleration due to gravity. The SI unit for it is m/s2. It is a vector quantity because it has both magnitude and direction. The acceleration due to gravity is denoted by the letter g. it   has a standard value of 9.8 m/s2 on the earth's surface at sea level.     i.e., Click here

  Acceleration due to gravity:

g(Sun) = 274 m/s² 

g(Mercury) = 3.7 m/s²

g(Venus) = 8.87 m/s² 

g(Moon) =  1.62 m/s²

g(Earth) = 9.80665 m/s² 

g(Mars) = 3.71 m/s² 

g(Jupiter) = 24.79 m/s² 

g(Saturn) = 10.44 m/s² 

g(Uranus) = 8.87 m/s²

g(Neptune) = 11.15 m/s² 

g(Pluto) = 0.62 m/s²

•  G is the Universal Gravitational Constant (G)

The universal gravitational constant (G) is a formula that links the magnitude of gravitational attraction between two bodies to their masses and separation.  Its value is extremely difficult to measure experimentally. It has been suggested that G has varied with time throughout the history of the universe and that it is scale-dependent.

•                            M is the mass of the object (e.g. planet)
•                            R is the distance to the center of mass of the object.

Weight (w): Weight is calculated by multiplying mass with acceleration due to gravity m * g Click here

where:

• w is the weight (force of gravity on a mass)
• m is the mass
• g is the acceleration due to gravity.

Related Calculators:

• Force of Buoyancy