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1. The temperature at the center of the Earth is estimated to be about 5,500 °C. Convert this temperature to degrees Fahrenheit.

2. The -90 °F recorded in Siberia is the coldest temperature ever recorded outside of Antarctica. Convert this temperature to degrees Celsius.

3. In 2006, Jonathan Kehoe ran a mile in 7 minutes and 30 seconds while balancing an egg on a spoon. What was his speed in km/h?

Answer :

  1. To convert the temperature from degrees Celsius to degrees Fahrenheit, you can use the formula:

[tex]F = C \times \frac{9}{5} + 32[/tex]

Applying this formula to the temperature at the center of the Earth:

[tex]F = 5500 \times \frac{9}{5} + 32 = 5500 \times 1.8 + 32[/tex]

[tex]F = 9900 + 32 = 9932 \text{°F}[/tex]

So, the estimated temperature at the center of the Earth is about 9932 °F.

  1. To convert from degrees Fahrenheit to degrees Celsius, use the following formula:

[tex]C = (F - 32) \times \frac{5}{9}[/tex]

For the coldest temperature recorded in Siberia:

[tex]C = (-90 - 32) \times \frac{5}{9}[/tex]

[tex]C = (-122) \times \frac{5}{9}[/tex]

[tex]C = -67.78 \text{°C}[/tex] (rounded to two decimal places)

Thus, -90 °F converts to approximately -67.78 °C.

  1. To find the speed in kilometers per hour, first convert the time to hours and the distance to kilometers:

  • 7 minutes 30 seconds can be converted to hours as follows:
    • 7 minutes is [tex]\frac{7}{60}[/tex] hours
    • 30 seconds is [tex]\frac{30}{3600} = \frac{1}{120}[/tex] hours

Adding these gives the total time in hours:

[tex]\text{Total time in hours} = \frac{7}{60} + \frac{1}{120} = \frac{14}{120} + \frac{1}{120} = \frac{15}{120} = \frac{1}{8} \text{ hours}[/tex]

  • A mile is approximately 1.60934 kilometers.

Now calculate the speed:

[tex]\text{Speed} = \frac{\text{Distance in km}}{\text{Time in hours}} = \frac{1.60934}{\frac{1}{8}}[/tex]

[tex]\text{Speed} = 1.60934 \times 8 = 12.87472 \text{ km/h}[/tex] (rounded to five decimal places)

Therefore, Jonathan Kehoe's speed while running a mile with an egg on a spoon was approximately 12.87 km/h.

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