Respuesta :
Answer:
3.76 m/s.
Explanation:
Velocity in mile per hour (mph) = 8.4 miles per hour
Velocity in metre per second (m/s) =?
Next, we shall convert 8.4 mph to ft/h. This can be obtained as follow :
1 mph = 5280 ft/h
Therefore,
8.4 mph = 8.4 mph / 1 mph × 5280 ft/h
8.4 mph = 44352 ft/h
Next, we shall convert 44352 ft/h to in/h. This is illustrated below:
1 ft/h = 12 in/h
Therefore,
44352 ft/h = 44352 ft/h / 1 ft/h × 12 in/h
44352 ft/h = 532224 in/h
Next, we shall convert 532224 in/h to m/h. This can be obtained as follow:
39.37 in/h = 1 m/h
Therefore,
532224 in/h = 532224 in/h / 39.37 in/h × 1 m/h
532224 in/h = 13518.51664 m/h
Next, we shall convert 13518.51664 m/h to m/min. This is illustrated below:
1 m/h = 1/60 m/min
Therefore,
13518.51664 m/h = 13518.51664 m/h / 1 m/h × 1/60 m/min
13518.51664 m/h = 225.30861 m/min
Finally, we shall convert 225.30861 m/min to m/s. This is illustrated below:
1 m/min = 1/60 m/s
Therefore,
225.30861 m/min = 225.30861 m/min / 1 m/min × 1/60 m/s
225.30861 m/min = 3.76 m/s
Therefore,
8.4 miles per hour is equivalent to 3.76 m/s.
Unit conversion does not change the real value. The velocity of the particle, when converted to meters per sec, is 3.756.
What is Units conversion?
Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
In order to convert the unit of velocity, we will first convert miles to meters and then, hours to seconds.
As it is given to us,
1 mile = 5280 ft
1 ft = 12 inches
1 m = 39.37 in
Now, since 1 m = 39.37 inches, therefore
[tex]1\rm\ in =\dfrac{1}{39.37}\ m[/tex]
Converting a mile to meter,
[tex]1\rm\ miles = 5280\ ft \times 12\ inches\times \dfrac{1}{39.38} m\\\\1\ miles = 1609.652\ m[/tex]
Converting hours to seconds
[tex]1\rm\ hour = 60\ minutes \times 60\ seconds\\\\1\ hour = 3600\ seconds[/tex]
Now, converting the velocity we will get,
[tex]1 \rm\ \dfrac{miles}{hour} = \dfrac{1609.652}{3600}\ \dfrac{m}{s}\\\\1 \rm\ \dfrac{miles}{hour} =0.447\ \dfrac{m}{s}[/tex]
Now, as given to us the velocity of a particle is 8.4 miles\hour, therefore,
[tex]8.4 \rm\ \dfrac{miles}{hour} =8.4 \times 0.447\ \dfrac{m}{s}\\\\8.4 \rm\ \dfrac{miles}{hour} =3.756\ \dfrac{m}{s}\\\\[/tex]
Hence, the velocity of the particle when converted to meters per sec is 3.756.
Learn more about Units conversion:
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