Light travels at the speed of3.0x10^10 cm/sec. what is the speed of light in feet per hour?
I'm not sure on how to start it.
The easy way to do it is to type into Google the following:
3E10 cm/sec to mph
and hit the enter button.
I have other problems similar so,I would like to see the process of it.
Note that what I said to type into Google won't do it because I typed in cm/sec to mph and you want feet/hr.
Do all of them by dimensional analysis.
I don't know all of the conversion factor but I can get there from what I know. Sometimes it just takes a while. You ca google conversion factors and find cm in mile etc. But if I had to do it from scratch I would do this.
3E10 cm/sec to feet/hr.
First cm to miles.
There are 2.54 cm to the inch.
12 inches to the foot. That gets us to feet.
Now sec to hr.
There are 69 sec in a min
There are 60 min in an hour.
Now waht the units we don't want to keep cancel and the units we want to keep don't cancel.
3E10 cm/s x (1 in/2.54 cm) x (1 foot/12 in) x (60 s/min) x (60 m/hr) and that should give you cm/s to feet/hr. That gives me 3.54E12 ft/hr and if I type in 3E10 cm/s to ft/hr in google I get 3.54E12. So those factors must be right.
To find the speed of light in feet per hour, we need to convert the given speed of light from centimeters per second to feet per hour.
Here are the conversion factors needed for this conversion:
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mile = 5280 feet
1 hour = 3600 seconds
Step 1: Convert cm/sec to meters/hour
We first need to convert centimeters to meters and seconds to hours.
Speed in meters/hour = (Speed in cm/sec) * (1 meter / 100 centimeters) * (3600 seconds / 1 hour)
Step 2: Convert meters/hour to kilometers/hour
Since the given speed is already in cm/sec, we can directly convert meters to kilometers.
Speed in kilometers/hour = (Speed in meters/hour) * (1 kilometer / 1000 meters)
Step 3: Convert kilometers/hour to miles/hour
To convert kilometers to miles, we multiply by the conversion factor.
Speed in miles/hour = (Speed in kilometers/hour) * (1 mile / 1.60934 kilometers)
Step 4: Convert miles/hour to feet/hour
To convert miles to feet, we multiply by the conversion factor.
Speed in feet/hour = (Speed in miles/hour) * (5280 feet / 1 mile)
Now, let's perform these conversions step by step.
Given: Speed of light = 3.0 x 10^10 cm/sec
Step 1: Convert cm/sec to meters/hour
Speed in meters/hour = (3.0 x 10^10 cm/sec) * (1 meter / 100 centimeters) * (3600 seconds / 1 hour)
= (3.0 x 10^10) * (3600 / 100)
= 3.0 x 10^10 * 36
= 1.08 x 10^12 meters/hour
Step 2: Convert meters/hour to kilometers/hour
Speed in kilometers/hour = (1.08 x 10^12 meters/hour) * (1 kilometer / 1000 meters)
= (1.08 x 10^12) * (1 / 1000)
= 1.08 x 10^9 kilometers/hour
Step 3: Convert kilometers/hour to miles/hour
Speed in miles/hour = (1.08 x 10^9 kilometers/hour) * (1 mile / 1.60934 kilometers)
= (1.08 x 10^9) / (1.60934)
≈ 670,616,629.319398 miles/hour
Step 4: Convert miles/hour to feet/hour
Speed in feet/hour = (670,616,629.319398 miles/hour) * (5280 feet / 1 mile)
= (670,616,629.319398) * 5280
≈ 3.547 x 10^12 feet/hour
Therefore, the speed of light is approximately 3.547 x 10^12 feet/hour.