No it would have a lower terminal velocity as there would be more air resistance acting upon it
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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.
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.
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
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.
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.
The characteristic length of a sphere is its diameter, which is the distance across the sphere passing through its center. The characteristic length affects the sphere's properties such as volume, surface area, and density. A larger characteristic length means a larger volume and surface area, while a smaller characteristic length means a smaller volume and surface area.