1. What is the Spring Velocity Equation?

The Spring Velocity Equation calculates the velocity of a mass attached to a spring at a given displacement. This equation is derived from the conservation of energy principle in simple harmonic motion systems.

2. How Does the Calculator Work?

The calculator uses the spring velocity equation:

Where:

• \( v \) — Velocity (m/s)
• \( k \) — Spring constant (N/m)
• \( x \) — Displacement from equilibrium (m)
• \( m \) — Mass (kg)

Explanation: This equation calculates the velocity of a mass at position x in a spring-mass system, assuming no energy losses.

3. Importance of Spring Velocity Calculation

Details: Calculating spring velocity is essential for understanding oscillatory motion, designing mechanical systems, and analyzing energy conservation in physics applications.

4. Using the Calculator

Tips: Enter spring constant in N/m, displacement in meters, and mass in kilograms. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does this equation make?
A: This equation assumes ideal spring behavior (Hooke's law), no friction or damping, and that the system follows simple harmonic motion.

Q2: When is this equation applicable?
A: This equation applies to ideal spring-mass systems where energy is conserved and no external forces act on the system.

Q3: How does displacement affect velocity?
A: Velocity is maximum at the equilibrium position (x=0) and zero at maximum displacement (amplitude).

Q4: What are typical units for spring constant?
A: Spring constant is typically measured in newtons per meter (N/m) in the SI system.

Q5: Can this be used for vertical spring systems?
A: Yes, but the equilibrium position may be different due to gravity. The equation still applies if x is measured from the new equilibrium position.