Question

C.1
Convert 25 miles per hour into meters per second. Use the following conversion ratios. ----1 mile/1.609 km ---- 60 seconds / 1 minute ---- 60 minutes / 1 hour

C.2
What is the equation to convert °C to K

Convert 100 °C into Kelvin

What is the equation to convert °F to °C

Convert 100 °F to °C

C.3. Show your work is worth more than answering this right.

Use the sideways T method or the table method below to show your work.
Convert 1 foot to kilometers.
Use the following conversions ratios. 1 foot = 12 inches. 1 inch = 0.0254 meters. 1000 meters = 1 kilometer.

Answer 1

The conversion of 25 miles per hour into meters per second using the

given conversion ratios is  $\mathbf{ \dfrac{1609\ meters}{144 \ seconds}}$ .

C1

Conversion ratios are used in metric systems for changing one unit to another using the standard conversion numbers.

Given that:

• 1 mile = 1.609 km
• 60 seconds = 1 minute
• 60 minutes = 1 hour

∴

To convert 25 miles/ hour to meter/seconds, we have:

$\mathbf{=\dfrac{(25 \times 1.609) \ km}{(60 \times 60) \ seconds}}$

• Since 1 km = 1000 meters.
• It implies that;

$\mathbf{=\dfrac{(25 \times 1.609 )\times 1000 \ meters}{(60 \times 60) \ seconds}}$

$\mathbf{= \dfrac{40225 \ meters}{3600 \ seconds}}$

$\mathbf{= \dfrac{1609\ meters}{144 \ seconds}}$

C2

• The equation to convert  °C to K is  °C = 0 + 273.15 K

The conversion of celsius to kelvin can be achieved by the addition of the given amount of celsius rate with the constant 273.15 K.

To convert  100 °C into K we have:

• 100 °C = 100 + 273.15 K

• = 373.15 K  

To convert °F to °C, we use the equation:

$=\mathbf{(^0 F - 32)\times \dfrac{5}{9}}$

To convert 100 °F to °C, we have:

$= \mathbf{(100^0 F - 32)\times \dfrac{5}{9}}$

$= \mathbf{(68^0 F)\times \dfrac{5}{9}}$

= 37.78°F

C3.

To convert 1 foot to kilometers by using the standard conversion ratios, we have the following;

Since;

• 1 foot = 12 inches.
• 1 inch = 0.0254 meters.
• 1000 meters = 1 kilometer.

∴

$=\mathbf{\Big(\dfrac{12 * 0.0254}{1000}} \ kilometer \Big )$

= 0.0003048 kilometers

Therefore, we can conclude that 25 miles per hour into meters per

second is  $\mathbf{ \dfrac{1609\ meters}{144 \ seconds}}$.

Learn more about conversion ratio here:

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