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The terminal velocity of a sphere falling through a fluid is the constant speed at which the force of gravity pulling the sphere down is balanced by the resistance of the fluid pushing against it. This velocity depends on the size, shape, and density of the sphere, as well as the viscosity and density of the fluid.
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What is the formula to calculate the terminal velocity of a sphere falling through a fluid?
The formula to calculate the terminal velocity of a sphere falling through a fluid is given by: Vt frac29 frac(rhos - rhof)gR2eta where: ( Vt ) is the terminal velocity ( rhos ) is the density of the sphere ( rhof ) is the density of the fluid ( g ) is the acceleration due to gravity ( R ) is the radius of the sphere ( eta ) is the viscosity of the fluid
What is the terminal velocity for a falling egg?
The terminal velocity for a falling egg is approximately 25-30 miles per hour or 40-48 kilometers per hour. At this speed, the force of air resistance on the egg equals the force of gravity acting on it, resulting in a constant speed of descent.
Does a larger sphere have a higher terminal velocity?
Not necessarily. Terminal velocity depends on a combination of factors like weight, drag coefficient, and surface area. So while a larger sphere may experience more air resistance due to its increased surface area, it might also be heavier, which can offset this effect.
Why different sized metal spheres used in determining the coefficient of viscosity of oil?
Different sized metal spheres are used to determine the coefficient of viscosity of oil because the size of the sphere affects the rate at which it falls through the oil. By using spheres of different sizes, we can better understand how viscosity affects the motion of objects through the fluid. This information helps in accurately determining the coefficient of viscosity of the oil.
What is the Lagrangian for a particle moving on a sphere?
The Lagrangian for a particle moving on a sphere is the kinetic energy minus the potential energy of the particle. It takes into account the particle's position and velocity on the sphere.
What is the formula to calculate the terminal velocity of a sphere falling through a fluid?
The formula to calculate the terminal velocity of a sphere falling through a fluid is given by: Vt frac29 frac(rhos - rhof)gR2eta where: ( Vt ) is the terminal velocity ( rhos ) is the density of the sphere ( rhof ) is the density of the fluid ( g ) is the acceleration due to gravity ( R ) is the radius of the sphere ( eta ) is the viscosity of the fluid
What is the terminal velocity for a falling egg?
The terminal velocity for a falling egg is approximately 25-30 miles per hour or 40-48 kilometers per hour. At this speed, the force of air resistance on the egg equals the force of gravity acting on it, resulting in a constant speed of descent.
Does a larger sphere have a higher terminal velocity?
Not necessarily. Terminal velocity depends on a combination of factors like weight, drag coefficient, and surface area. So while a larger sphere may experience more air resistance due to its increased surface area, it might also be heavier, which can offset this effect.
What is the magnitude of net force acting on a drop of rain falling down with a constant speed?
consider a sphere moving through a viscous medium the fluid layer in contact with the sphere is moving with same velocity but the layer far away is at rest. This makes a relative motion to be setup.viscous force acts on this drop.The backward force is proportional to the speed of the drop.at a stage the viscous force balances the downward force.hence the body moves with a constant velocity called terminal velocity.
What is Worthington's law?
Worthington's Law is the law which dictates that a person who makes more money than you is better than you, and therefore beyond criticism. This law reads "More Money = Better Than" and it's used to gauge the value of human worth.
Why are the rain drops falling as a sphere?
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Why different sized metal spheres used in determining the coefficient of viscosity of oil?
Different sized metal spheres are used to determine the coefficient of viscosity of oil because the size of the sphere affects the rate at which it falls through the oil. By using spheres of different sizes, we can better understand how viscosity affects the motion of objects through the fluid. This information helps in accurately determining the coefficient of viscosity of the oil.
What is the Lagrangian for a particle moving on a sphere?
The Lagrangian for a particle moving on a sphere is the kinetic energy minus the potential energy of the particle. It takes into account the particle's position and velocity on the sphere.
What is the electric flux through the sphere?
The electric flux through a sphere is the total electric field passing through the surface of the sphere. It is calculated by multiplying the electric field strength by the surface area of the sphere.
What is the total energy of a rolling solid sphere?
The total energy of a rolling solid sphere is the sum of its kinetic energy and its rotational energy. The kinetic energy of the sphere is given by 1/2 * m * v^2, where m is the mass of the sphere and v is its linear velocity. The rotational energy is given by 1/2 * I * w^2, where I is the moment of inertia of the sphere and w is its angular velocity.
What has a shape of a sphere?
In the nature the small water droplets falling in the form of rain are spherical.
What is the approximate minimum stream velocity needed to keep a particle in motiob that has a diameter of 10 cm?
The approximate minimum stream velocity needed to keep a particle in motion, such as a sphere with a diameter of 10 cm, can be estimated using Stokes' law and the concept of terminal velocity. For a particle in a fluid, the minimum velocity needed to keep it suspended typically equals the settling velocity, which depends on factors like fluid density and viscosity. In general, for a 10 cm diameter particle, the minimum velocity can range from about 0.1 to 0.5 meters per second, depending on the specific fluid properties.
