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3 days ago · As the sphere falls so its velocity increases until it reaches a velocity known as the terminal velocity. At this velocity the frictional drag due to viscous forces is just balanced by the gravitational force and the velocity is constant (shown by Figure 2).
Sep 24, 2024 · 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.
1 day ago · The instantaneous velocity, 𝑣 (𝑡), of an object moving in a straight line is equal to the derivative of the position of the object, 𝑥 (𝑡), with respect to time: 𝑣 (𝑡) = 𝑥 (𝑡) 𝑡, d d where 𝑥 (𝑡) and 𝑣 (𝑡) are the components along the motion axis of the position and velocity vectors respectively.
Sep 6, 2024 · Stoke's law states that the magnitude of the viscous force depends on the shape and size of the solid body, the speed of the body, coefficient of viscosity of the fluid. The maximum constant velocity acquired by a solid during its free-fall motion in any fluid is known as terminal velocity.
6 days ago · The terminal velocity (\ (v_t\)) of an object is calculated using the equation: \ [ v_t = \sqrt {\frac {2mg} {\rho A C_d}} \] where: \ (m\) is the mass of the object, \ (g\) is the acceleration due to gravity, \ (\rho\) is the density of the medium (air), \ (A\) is the cross-sectional area, and. \ (C_d\) is the coefficient of drag.
Sep 6, 2024 · Here's the breakdown: Gravity: The iron ball, being heavier, experiences a stronger gravitational pull. Terminal Velocity: To reach terminal velocity, the iron ball needs a greater upward force of air resistance to counteract the stronger gravity.
Sep 7, 2024 · The measurement of terminal velocity of the object will be used to estimate the coefficient of viscosity of the liquid. Therefore, a relationship between these two variables needs to be found in terms of known parameters.
