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Find the age of the universe based upon Hubble's initial works Age of Universe (1/Ho) x (3.08 x 1019 km/Mpc) x (1 year/3.15 x 10' sec) = %3D %3D %3 (1/563 km/sec/Mpc) x (3.08 x 1019 km/Mpc) x (1/3.15 x 10' sec) 1.7 yrs

Find the age of the universe based upon Hubble's initial works Age of Universe (1/Ho) x (3.08 x 1019 km/Mpc) x (1 year/3.15 x 10' sec) = %3D %3D %3 (1/563 km/sec/Mpc) x (3.08 x 1019 km/Mpc) x (1/3.15 x 10' sec) 1.7 yrs

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### Determining the Hubble Constant and the Age of the Universe #### Calculating Hubble's Constant (Ho) To find Hubble's Constant (\(H_0\)), follow these steps: 1. **Draw a Best Fit Line:** Draw a line that best fits the points on the data plot. This line represents the relationship between the velocity (Y-axis) of the galaxies and their distance (X-axis). 2. **Calculate the Slope:** Use the slope formula, which in this context represents Hubble's Constant. \[ H_0 = \text{slope} = \frac{\text{velocity}}{\text{distance}} = \frac{\text{change in } Y}{\text{change in } X} = \frac{Y_2 - Y_1}{X_2 - X_1} \] Given the values: \[ \frac{350}{0.6} = \textbf{583 km/sec/Mpc} \] #### Finding the Age of the Universe To determine the age of the universe based on Hubble's initial work, follow these steps: 1. **Understanding Unit Conversions:** - 1 Mpc (Megaparsec) = \(3.08 \times 10^{19}\) km - 1 year = \(3.15 \times 10^7\) seconds 2. **Formula for Age of the Universe:** \[ \text{Age of Universe} = \left( \frac{1}{H_0} \right) \times (3.08 \times 10^{19} \text{ km/Mpc}) \times \left( \frac{1 \text{ year}}{3.15 \times 10^7 \text{ sec}} \right) \] Substituting \(H_0 = 583 \text{ km/sec/Mpc}\): \[ \text{Age of Universe} = \left( \frac{1 \text{ sec}}{583 \text{ km/Mpc}} \right) \times (3.08 \times 10^{19} \text{ km/Mpc}) \times \left( \frac{1 \text{ year}}{3.15 \times 10^7 \text{ sec}} \right) \] 3. **Simplifying
Transcribed Image Text:### Determining the Hubble Constant and the Age of the Universe #### Calculating Hubble's Constant (Ho) To find Hubble's Constant (\(H_0\)), follow these steps: 1. **Draw a Best Fit Line:** Draw a line that best fits the points on the data plot. This line represents the relationship between the velocity (Y-axis) of the galaxies and their distance (X-axis). 2. **Calculate the Slope:** Use the slope formula, which in this context represents Hubble's Constant. \[ H_0 = \text{slope} = \frac{\text{velocity}}{\text{distance}} = \frac{\text{change in } Y}{\text{change in } X} = \frac{Y_2 - Y_1}{X_2 - X_1} \] Given the values: \[ \frac{350}{0.6} = \textbf{583 km/sec/Mpc} \] #### Finding the Age of the Universe To determine the age of the universe based on Hubble's initial work, follow these steps: 1. **Understanding Unit Conversions:** - 1 Mpc (Megaparsec) = \(3.08 \times 10^{19}\) km - 1 year = \(3.15 \times 10^7\) seconds 2. **Formula for Age of the Universe:** \[ \text{Age of Universe} = \left( \frac{1}{H_0} \right) \times (3.08 \times 10^{19} \text{ km/Mpc}) \times \left( \frac{1 \text{ year}}{3.15 \times 10^7 \text{ sec}} \right) \] Substituting \(H_0 = 583 \text{ km/sec/Mpc}\): \[ \text{Age of Universe} = \left( \frac{1 \text{ sec}}{583 \text{ km/Mpc}} \right) \times (3.08 \times 10^{19} \text{ km/Mpc}) \times \left( \frac{1 \text{ year}}{3.15 \times 10^7 \text{ sec}} \right) \] 3. **Simplifying
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