Question

The speed of light in vacuum is 2.998x10^8 m/s. What is the speed in km/hr and mi/min?

Answer 1

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

Answer 2

1.08 x 10⁹ km/hr and 1.12 x 10⁷ mi/min.

Further explanation

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)

• $\boxed{ \ 1 \ km = 1,000 \ m \ }$
• $\boxed{ \ 1 \ mile = 1,609.34 \ m \ }$

Time

• $\boxed{ \ 1 \ hour = 60 \ minutes \ }$
• $\boxed{ \ 1 \ minute = 60 \ seconds \ }$
• $\boxed{ \ 1 \ hour = 3,600 \ seconds \ }$

Convert m/s to km/hr

$\boxed{ \ 2.998 \times 10^8 \ \frac{m}{s} \times \frac{1 \ km}{1,000 \ m} \times \frac{3,600 \ s}{1 \ hr} \ }$

$\boxed{ \ 2.998 \times 10^8 \times 3.6 \ \frac{km}{hr} \ }$

$\boxed{ \ 10.7928 \times 10^8 \ \frac{km}{hr} \ }$

Adjust it again to fit the scientific notation.

$\boxed{ \ 1.07928 \times 10^9 \ \frac{km}{hr} \ }$

After rounding to 2 decimal places, the result is $\boxed{\boxed{ \ 1.08 \times 10^9 \ \frac{km}{hr} \ }}$

Convert m/s to mi/min

$\boxed{ \ 2.998 \times 10^8 \ \frac{m}{s} \times \frac{1 \ mile}{1,609.34 \ m} \times \frac{60 \ s}{1 \ min} \ }$

$\boxed{ \ 2.998 \times 10^8 \times 0.0373 \ \frac{mi}{min} \ }$

$\boxed{ \ 0.1118 \times 10^8 \ \frac{mi}{min} \ }$

Adjust it again to fit the scientific notation.

$\boxed{ \ 1.118 \times 10^7 \ \frac{mi}{min} \ }$

After rounding to 2 decimal places, the result is $\boxed{\boxed{ \ 1.12 \times 10^7 \ \frac{mi}{min} \ }}$

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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