Speed of light in vacuum = 2.998 x 10^8 m/s
1m = 1/1000 km and 1s = 1/3600 hr
Speed of light in vacuum = (2.998 x 10^8 x (1/1000) km) / (1/3600) hr
Speed of light in vacuum = 10.792 x 10^8 km/hr
Now
1km = 0.6213 mi
1hr = 60min
As Speed of light in vacuum = 10.792 x 10^8 km/hr
Speed of light in vacuum = 10.792 x 10^8 x (0.6213mi) / 60min
Speed of light in vacuum = 0.1117 x 10^8 mi/min
Speed of light in vacuum = 11.17 x 10^6 mi/min
1.08 x 10⁹ km/hr and 1.12 x 10⁷ mi/min.
Given:
The speed of light in vacuum is 2.998 x 10⁸ m/s
Question:
What is the speed in km/hr and mi/min (miles/minute)?
Problem solving:
We will solve the problem here about the conversion of length and time units.
To solve our case, consider the following unit length and time conversions.
Lenght (or Distance)
Time
Convert m/s to km/hr
[tex]\boxed{ \ 2.998 \times 10^8 \ \frac{m}{s} \times \frac{1 \ km}{1,000 \ m} \times \frac{3,600 \ s}{1 \ hr} \ }[/tex]
[tex]\boxed{ \ 2.998 \times 10^8 \times 3.6 \ \frac{km}{hr} \ }[/tex]
[tex]\boxed{ \ 10.7928 \times 10^8 \ \frac{km}{hr} \ }[/tex]
Adjust it again to fit the scientific notation.
[tex]\boxed{ \ 1.07928 \times 10^9 \ \frac{km}{hr} \ }[/tex]
After rounding to 2 decimal places, the result is [tex]\boxed{\boxed{ \ 1.08 \times 10^9 \ \frac{km}{hr} \ }}[/tex]
Convert m/s to mi/min
[tex]\boxed{ \ 2.998 \times 10^8 \ \frac{m}{s} \times \frac{1 \ mile}{1,609.34 \ m} \times \frac{60 \ s}{1 \ min} \ }[/tex]
[tex]\boxed{ \ 2.998 \times 10^8 \times 0.0373 \ \frac{mi}{min} \ }[/tex]
[tex]\boxed{ \ 0.1118 \times 10^8 \ \frac{mi}{min} \ }[/tex]
Adjust it again to fit the scientific notation.
[tex]\boxed{ \ 1.118 \times 10^7 \ \frac{mi}{min} \ }[/tex]
After rounding to 2 decimal places, the result is [tex]\boxed{\boxed{ \ 1.12 \times 10^7 \ \frac{mi}{min} \ }}[/tex]
Keywords: the speed of light in vacuum is 2.998 x 10⁸ m/s, what is the speed in km/hr and mi/min? hour, mile, minutes, conversion, length, time, the scientific notation
