At what speed does a clock move if it is measured to run at a rate three-fourths the rate of a clock at rest with respect to an observer?

+3 votes

At what speed does a clock move if it is measured to run at a rate three-fourths the rate of a clock at rest with respect to an observer?

asked Apr 24, 2012 in Physics by Joey33 ~Expert~ (1,216 points)
    

1 Answer

+3 votes
 
Best answer

based on the quesiton you know that

3/4 Δt =  Δtp  

(*where  Δt is observed time,  Δtp is proper time)

the relation between  Δt and Δtp is

 Δt =  Δtp / squareroot( 1 -  (v/c)^2)

solving for v:

v = c * squareroot ( 1 - (Δtp/Δt)^2)

plugging in Δtp = 3/4  and Δt = 1   you get

v = c * squareroot ( 1 - (3/4)^2)

v = 0.6614 c

answered Apr 24, 2012 by kirby ~Expert~ (3,020 points)
selected Apr 26, 2012 by Joey33

Related questions

+5 votes
1 answer 2,382 views
2,382 views asked Feb 19, 2012 in Physics by Joey33 ~Expert~ (1,216 points)



...