What is the Calculated Value of the Hubble Constant from Galaxy Observations?

AI Thread Summary
To calculate the Hubble Constant from the observed data, the recessional velocity of 7500 km/s and the distance of 1.4×10^8 parsecs must be used in Hubble's equation, which states that recessional velocity equals the Hubble Constant multiplied by distance. The correct approach involves dividing the recessional velocity by the distance, ensuring proper unit conversion from parsecs to megaparsecs (Mpc). The confusion arises from the need to use division rather than subtraction in the calculation. Ultimately, the Hubble Constant can be determined by applying these principles correctly. Accurate unit conversion and understanding the equation are essential for solving the problem.
Solomon9$
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Homework Statement


A galaxy is observed to be receding from the Sun with a velocity of 7500 km/s.
The distance to the galaxy is determined to be 1.4×10^8 parsecs. From this
observation, what is the value of the Hubble Constant (in km/s/Mpc)?


Homework Equations





The Attempt at a Solution

 
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Do you know Hubble's equation?
 
Solomon9$ said:

Homework Statement


A galaxy is observed to be receding from the Sun with a velocity of 7500 km/s.
The distance to the galaxy is determined to be 1.4×10^8 parsecs. From this
observation, what is the value of the Hubble Constant (in km/s/Mpc)?


Homework Equations



recessional velocity = H^o x distance

The Attempt at a Solution


Not sure if recessional velocity in this equation is in km/s and distance in parsecs. Need help with this.
 
For any equation in physics, it doesn't matter what units you use; a relationship between physical quantities doesn't depend on how said physical quantities are measured. However, you do have to include the units in your calculations and convert when appropriate.
 
so am I to simply subtract 7500 km/s from 1.4×108 parsecs to solve for Hubble Constant (in km/s/Mpc)? Seems too easy...
 
Subtract? :confused:
 
Sorry...it was late.

Divide.
 
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