1. What Is Time Dilation?

Time dilation is a phenomenon predicted by Einstein's theory of relativity where time passes at different rates for observers in different inertial frames, particularly at speeds approaching the speed of light.

2. How Does The Calculator Work?

The calculator uses the time dilation formula:

Where:

• \( t_d \) — Dilated time (s)
• \( t \) — Proper time (s)
• \( v \) — Velocity (m/s)
• \( c \) — Speed of light (3×10⁸ m/s)

Explanation: The equation shows how time stretches (dilates) as an object's velocity approaches the speed of light relative to an observer.

3. Importance Of Time Dilation Calculation

Details: Understanding time dilation is crucial for modern physics, GPS satellite operation, particle accelerators, and theoretical explorations of space travel near light speed.

4. Using The Calculator

Tips: Enter proper time in seconds, velocity in m/s, and speed of light in m/s (default: 3e8). Velocity must be less than speed of light.

5. Frequently Asked Questions (FAQ)

Q1: What is proper time?
A: Proper time is the time measured by a clock at rest relative to the observer, representing the shortest possible time interval between two events.

Q2: At what speeds does time dilation become noticeable?
A: Time dilation effects become significant only at velocities approaching the speed of light (typically above 10% of c).

Q3: Has time dilation been experimentally verified?
A: Yes, through numerous experiments including atomic clocks on airplanes and observations of unstable particles in accelerators.

Q4: What happens if v = c?
A: The denominator becomes zero, making time dilation infinite - which is why objects with mass cannot reach light speed.

Q5: Does time dilation affect aging?
A: Yes, according to relativity, astronauts traveling at high speeds would age slower than people on Earth (twin paradox).