Solving for Y: A Spacecraft's Speed at 0.4 of Light

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The discussion centers on calculating the time dilation factor, denoted as "y" or gamma (γ), for a spaceship traveling at 0.4 times the speed of light. The correct formula to use is y = 1 / √(1 - (v/c)²), which should yield a value close to 1, as significant time dilation occurs only at speeds approaching the speed of light. One participant initially calculated an incorrect value and encountered a "Domain Error" on their calculator, later resolved by correcting the input. The concept of time dilation is clarified as dimensionless, representing a ratio of two times. The conversation emphasizes the importance of accurate calculations and understanding the underlying physics principles.
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Homework Statement


A spaceship is going at .4 the speed of light, find its y value.


Homework Equations


i think your suppose to use y=1/\sqrt{}1-(v/c)^2


The Attempt at a Solution


I got y=7.64*10^11
I also see a chart that says at .4 of c the y should only equal abought 1.
My calculator was also say " Domain Error" I don't know why. Also what exactly does y stand for?
 
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What units do you measure time dialtion in?
 
Stratosphere said:
What units do you measure time dialtion in?

It's dimensionless. It's a ratio of two times.
 
Yes, your answer will be very close to 1. Time dilation doesn't get very large until you get very close to c.
 
Why do i keep getting Domain error.
 
Stratosphere said:
Why do i keep getting Domain error.

Can you show us explicitly what you type or key in?
 
Never mind I think my calculator was malfunctioning, I just got it to work and got the right answer.
 

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