The relationship between the time-varying angular speed and radii of the gears i

Question

The relationship between the time-varying angular speed and radii of the gears is:

(w1(t))/(w2(t))) = R2/R1

Considering definitions of static and dynamic elements in the books, which statement is correct?

1. This is a dynamic system, because w1 depends on w2

2. This is a dynamic system, because both speeds are proportional

3. This is a dynamic system, because both angular velocities depend on time.

4. In terms o system dynamics, this is a static system

5. This is a dynamic system because it is moving.

Explanation / Answer

The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space.

Statics system are those which are and which remains in the state of rest or uniform motion i.e. not change with time.

But above equation changes with time so,

3. This is a dynamic system, because both angular velocities depend on time.

is the correct answer.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.