Calculate Relativistic factor for u/c

Smythe · 2011-09-29 16:30:17

I'm trying to calculate the relativistic factor γ for u/c for a number of values. I was wondering if anyone could start me off with the first value which is 0.1? Thank you

29-09-2011 05:30PM

#1

Smythe

Registered Users, Registered Users 2 Posts: 434 ✭✭

Join Date: March 2010

Posts: 232

I'm trying to calculate the relativistic factor γ for u/c for a number of values.

I was wondering if anyone could start me off with the first value which is 0.1?

Thank you

0

Comments

#2 29-09-2011 07:02PM

Smythe

Registered Users, Registered Users 2 Posts: 434 ✭✭

Join Date: March 2010

Posts: 232

Am I correct in thinking the answer for the value 0.1 is 0.995 to 3 sf?

And a value of u/c=0.6 would have a relativistic value of 0.8?

0
#3 29-09-2011 08:33PM

Morbert

Registered Users, Registered Users 2 Posts: 3,457 ✭✭✭

Join Date: September 2004

Posts: 3397

If a is u/c, then γ is

1/sqrt[1-a*a]

So if you have a = 0.6

γ = 1/sqrt[1-a*a]
= 1/sqrt[1-0.6*0.6]
= 1/sqrt[0.64]
= 1/0.8
= 1.25

0
#4 30-09-2011 05:44PM

Smythe

Registered Users, Registered Users 2 Posts: 434 ✭✭

Join Date: March 2010

Posts: 232

Thanks very much Morbert.

Much appreciated!

0