Age of the Universe: Solve for t_0

In summary, the conversation is about solving a problem related to a flat universe and Hubble's law. The question is asking for the value of t in terms of H_0, given that the universe is flat. The conversation includes attempts at solving the problem and requesting for guidance and hints.
  • #1
NeedPhysHelp8
41
0
Hi all,
Hoping you can help with this problem!

Homework Statement


For a flat universe, show that [tex] t_{0}=2/3 (H_{0})^{-1} [/tex] ? Seems like a simple problem I just don't really know where to start.

Homework Equations


Hubble's law [tex] v= H_{0}r [/tex]
and then [tex] t= 1/H_{0} [/tex]

The Attempt at a Solution


I just need guidance where to start. Flat universe means that expansion is constant in any direction right? What do I do?
 
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  • #2
flat universe means the Hubble constant is constant.

Then 1/hubble constant has units time.
Think of the equations for something that doubles/halves with a constant time interval
 
  • #3
How about the kinematic equation: x(t)= vt + 1/2at^2
Not sure if this is right and what to do with it? maybe take a derivatives of both sides?
 
  • #4
I still can't figure out the answer, can someone give me a hint please
 

FAQ: Age of the Universe: Solve for t_0

How old is the universe?

The current estimated age of the universe is approximately 13.8 billion years.

How was the age of the universe calculated?

The age of the universe is calculated through various methods, including observing the expansion rate of the universe, studying the cosmic microwave background radiation, and analyzing the ages of the oldest stars and galaxies.

Has the age of the universe always been the same?

No, the age of the universe has changed over time. The universe is constantly expanding, and as it expands, the age of the universe increases.

Can the age of the universe be determined precisely?

Due to the complex nature of the universe and the limitations of our current technology, the age of the universe is not known with absolute precision. However, scientists continue to refine their methods and measurements to get closer to a more precise estimation.

How does determining the age of the universe help us understand the universe?

Knowing the age of the universe allows us to better understand the origins and evolution of the universe. It also helps us to test and refine our theories and models about the universe, and to gain insight into the fundamental laws and principles that govern its workings.

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