1. What is the Gamma Factor?

The gamma factor (γ) is a quantity that appears in special relativity, representing the factor by which time, length, and relativistic mass change for an object moving at a significant fraction of the speed of light.

2. How Does the Calculator Work?

The calculator uses the gamma factor equation:

Where:

• \( v \) — Velocity of the object (m/s)
• \( c \) — Speed of light in vacuum (299,792,458 m/s)

Explanation: The equation shows how relativistic effects become significant as velocity approaches the speed of light.

3. Importance of Gamma Factor

Details: The gamma factor is crucial in special relativity calculations including time dilation, length contraction, and relativistic momentum. It approaches infinity as velocity approaches the speed of light.

4. Using the Calculator

Tips: Enter velocity in m/s and speed of light in m/s (default is 299,792,458 m/s). Velocity must be less than the speed of light.

5. Frequently Asked Questions (FAQ)

Q1: What happens when v approaches c?
A: As v approaches c, the denominator approaches 0, making γ approach infinity. This explains why objects with mass cannot reach the speed of light.

Q2: What is γ at everyday speeds?
A: For everyday speeds (much less than c), γ is extremely close to 1, which is why we don't notice relativistic effects in daily life.

Q3: How does γ relate to time dilation?
A: Time dilation factor equals γ. A clock moving at velocity v will tick γ times slower than a stationary clock.

Q4: What is the maximum possible γ?
A: There is no maximum γ - it increases without bound as v approaches c. For example, at 0.999c, γ ≈ 22.4; at 0.999999c, γ ≈ 707.

Q5: Does γ have units?
A: No, γ is a dimensionless quantity - it's simply a scaling factor.