A certain spaceship has a speed of 18200 mi/hr. What is its speed in light-years/century? A light-year is the distance that light travels in one year with a speed of 186,000 mi/s.

To find the spaceship's speed in light-years/century, we need to convert its speed from miles per hour to light-years per century. We can do this by using the conversion factors between miles and light-years, and between hours and years.

1 light-year = 186,000 miles/second * 60 seconds/minute * 60 minutes/hour * 24 hours/day * 365 days/year

1 century = 100 years

So, to find the spaceship's speed in light-years/century, we can multiply its speed in miles/hour by the conversion factor:

Speed in light-years/century = (Speed in miles/hour) * (1 light-year/186,000 miles/second * 60 seconds/minute * 60 minutes/hour * 24 hours/day * 365 days/year) * (100 years/1 century)

Now let's calculate it step by step.

Speed in light-years/century = 18200 miles/hour * (1 light-year/186,000 miles/second * 60 seconds/minute * 60 minutes/hour * 24 hours/day * 365 days/year) * (100 years/1 century)

First, let's simplify the time conversion:

Speed in light-years/century = 18200 miles/hour * (1 light-year/186,000 miles/second * 60 seconds/minute * 60 minutes/hour * 24 hours/day * 365 days/year) * (100 years/1 century)
Speed in light-years/century = 18200 miles/hour * 1 light-year / 186,000 miles/second * 60 seconds/minute * 60 minutes/hour * 24 hours/day * 365 days/year * 100 years/1 century

Now, let's cancel out the units:

Speed in light-years/century = 18200 / 186000 * 60 * 60 * 24 * 365 * 100

Finally, perform the calculation:

Speed in light-years/century = 0.0009795918 light-years/century

Therefore, the speed of the spaceship is approximately 0.0009795918 light-years/century.

To find the speed of the spaceship in light-years/century, we need to convert both the speed of the spaceship and the speed of light into consistent units.

First, let's convert the speed of light from mi/s to mi/hr. Since there are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day, we can calculate the conversion factor as follows:

1 mi/s * 60 s/min * 60 min/hr * 24 hr/day = 86,400 mi/day

Next, we need to convert the speed of light in mi/day to mi/year. To do this, we multiply by the number of days in a year:

86,400 mi/day * 365.25 days/year (considering leap years) = 31,557,600 mi/year

Now, we can convert the speed of the spaceship from mi/hr to mi/year by multiplying by the number of hours in a year (24 hours/day * 365.25 days/year):

18200 mi/hr * 24 hr/day * 365.25 days/year = 159,438,300 mi/year

Finally, let's calculate the speed of the spaceship in light-years/century. We divide the speed of the spaceship (mi/year) by the speed of light (mi/year) to get the ratio of the spaceship's speed to the speed of light. Then, we multiply by the number of years in a century (100 years) and divide by the number of light-years in one year (the distance light travels in one year):

(159,438,300 mi/year / 31,557,600 mi/year) * (100 years / 1 century) * (1 light-year / 31,557,600 mi) ≈ 0.505 light-years/century

Therefore, the spaceship's speed is approximately 0.505 light-years/century.

Divide 18,200 mi/hr by the number of miles in a lightyear. That will give you light years/hr. Then multiply the result by the number of hours in a century,

24*365.25*100.