The total moment of inertia of the system is the sum of the moment of inertia of the disk plus the moment of the inertia of the person.
The moment of inertia of a uniform disk is Id = [1/2] Md * (R^2)
And the moment of inertia of the person standing on the rim of the disk is Ip = Mp(R^2).
So the total amounf ot inertia is: I = Id + Ip = [1/2]Md(R^2) + Mp(R^2).
There you only need to plug in the values that you are given for the problem:
If Md = 193 kg, Mp = 77 kg, and R = 2.07 m
I = [1/2]*193kg*(2.07m)^2 + 77kg * (2.07m)^2 = 743.43 kg * m^2
Answer: 743.43 kg * m^2
Y₀ = initial position of the balloon at the top of the building = 44 m
Y = final position of the balloon at halfway down the building = 44/2 = 22 m
a = acceleration of the balloon = - 9.8 m/s²
v₀ = initial velocity of the balloon = 0 m/s
v = final velocity of the balloon = ?
using the kinematics equation
v² = v₀² + 2 a (Y - Y₀)
inserting the values
v² = 0² + 2 (- 9.8) (22 - 44)
v = 20.78 m/s
Answer:
The general equation of movement in fluids is obtained from the application, at fluid volumes, of the principle of conservation of the amount of linear movement. This principle establishes that the variation over time of the amount of linear movement of a fluid volume is equal to that resulting from all forces (of volume and surface) acting on it. Expressed in This equation is called the Navier-Stokes equation.
The equation is shown in the attached file
Explanation:
The derivative of velocity with respect to time determines the change in the velocity of a particle of the fluid as it moves in space. It also includes convective acceleration, expressed by a nonlinear term that comes from convective inertia forces). With this equation, Stokes studied the motion of an infinite incompressible viscous fluid at rest at infinity, and in which a solid sphere of radius r makes a rectilinear and uniform translational motion of velocity v. It assumes that there are no external forces and that the movement of the fluid relative to a reference system on the sphere is stationary. Stokes' approach consists in neglecting the nonlinear term (associated with inertial forces due to convective acceleration).
One of the major forms of energy driving the water cycle is geothermal energy. Heat is responsible for warming up water, which in turn evaporates, and then again returns to Earth's surface in the form of rain.
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