How does terminal velocity depend on viscosity?

The terminal speed is directly proportional to the square of the body radius and inversely proportional to the coefficient of viscosity of the medium. It also depends upon the densities of the body and also the medium.

What is meant by terminal velocity of a spherical ball falling freely in the liquid?

Terminal velocity is defined as the highest velocity attained by a body that is falling through a fluid. It is observed when the sum of drag force and buoyant force becomes equal to the downward gravitational force that is acting on the body.

Does terminal velocity depend on temperature?

The terminal-velocity relation for CRYSTAL-FACE shows reduced temperature dependence (not plotted) but higher terminal velocities. Falls speeds for temperatures ≥−10°C range from ∼1.3 m s−1 for particles with a diameter of 2 mm to 2.4 m s−1 for particles with a diameter of 20 mm.

On what factors does the terminal velocity of a spherical body falling through a viscous liquid depends?

Explanation: 1) weight of the body acting vertically downwards. 2) Upward thrust due to buoyancy equal to weight of liquid displaced. As the body falls through a medium, its velocity goes on increasing due to gravity.

What happens to terminal velocity as viscosity increases?

Drag increases dramatically. Instead, viscous drag increases, slowing acceleration, until a critical speed, called the terminal speed, is reached and the acceleration of the object becomes zero. Once this happens, the object continues to fall at constant speed (the terminal speed).

What is terminal velocity Why does a body falling freely in a medium acquire this velocity derive expression for it?

# The maximum constant velocity acquired by a body while falling through a viscous medium is called its Terminal Velocity. # It is attained when force of resistance of a medium is equal and opposite to the force of gravity.

Why does spherical body achieve terminal speed?

R ______ radius of the spherical object. When an object falls through a fluid, it acquires a constant velocity through its subsequent motion. This happens because the net force on the body due to fluid and gravity becomes 0. This constant velocity is termed as terminal velocity.

When body moves with terminal velocity The acceleration in the body becomes?

Terminal velocity is achieved, therefore, when the speed of a moving object is no longer increasing or decreasing; the object’s acceleration (or deceleration) is zero.

What is the terminal velocity of a small sphere falling through viscosity?

A small sphere falling through a viscous liquid of viscosity , n , acquires a terminal velocity ,v ,and brings a viscous force F = [4/3] pi a^3 [r-s]g , where r and s are the densities of the sphere and the viscous medium

What are the factors on which terminal velocity depends?

What are the factors on which terminal velocity depends? The terminal velocity of an object is the maximum constant velocity acquired by the object while falling freely in a viscous medium. density of the object. Was this answer helpful?

What is the terminal velocity when net force is zero?

Since the net force is zero, the body now moves with a constant velocity, called the terminal velocity. F = 6π ñ r v, where ñ= coefficient of viscosity of the medium, r= radius of the spherical body falling in the medium, v= terminal velocity with which it falls.

What is the constant velocity of the body?

The constant velocity is called terminal velocity. Q.1. Assume that a spherical body is flowing through the water. The velocity of the body at a particular instant is 2 m s – 1. What will be the drag force on the body due to the fluid? Assume that Stokes’s law is valid.