• Support PF! Buy your school textbooks, materials and every day products Here!

Homework question on special relativity

  • #1
1,344
32

Homework Statement



Samantha, Tom, and Roberta are triplets.

(i) Samantha is an airline pilot who flies along a straight flight path at 300 ms-1 for 80 hours per month (in her rest frame). How much younger will she be than her brother Tom (who handles baggage at the airport) when she retires after 30 years?

Homework Equations



Time dilation formula

The Attempt at a Solution



Use the time dilation formula t = γt0, where t is the time in the moving frame (that of Tom) and t0 is the time in the rest frame (that of Samantha).

t0 = (3600*80*12*30) = 103680000 s
v = 300 ms-1

Therefore, t = t0 + (51.84 ms), using the binomial expansion in the calculation.

So, Samantha will be 51.84 ms younger when she retires after thirty years.

Could you please confirm if I am right?
 

Answers and Replies

  • #2
Doc Al
Mentor
44,892
1,143
Seems like you're off by a few powers of 10. (Unless I messed up the calculation.)

What did you get for γ-1?
 
  • #3
1,344
32
I think I have spotted the error. Is your answer in microseconds rather than milliseconds?
 
  • #4
1,344
32
i.e. 51.84 microseconds.
 
  • #5
Doc Al
Mentor
44,892
1,143
That's it. μs, not ms.
 

Related Threads for: Homework question on special relativity

  • Last Post
Replies
5
Views
4K
  • Last Post
Replies
14
Views
3K
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
3
Views
1K
Replies
1
Views
1K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
7
Views
918
  • Last Post
Replies
1
Views
2K
Top