How Long Does Light Take to Travel 93 Million Miles?

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Homework Help Overview

The discussion revolves around calculating the time it takes for light to travel a distance of 93 million miles. The problem involves unit conversion and the speed of light, specifically addressing the relationship between distance and time.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the phrasing of the question and the need for clarity in converting distance to time. Some suggest using dimensional analysis and unit conversion to approach the problem, while others express confusion about the initial question's intent.

Discussion Status

There is an ongoing exploration of the problem, with participants questioning the assumptions behind the phrasing of the question. Some guidance on using unit conversion has been offered, but no consensus has been reached on a final answer.

Contextual Notes

Participants note that the original question may be misleading, as it suggests a direct conversion between distance and time, which is not possible without considering speed.

FloridaPhys
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1. Convert 93x10^6 miles to minutes given that 1 km= .62 mile and that light travels at a speed of 3.0x10^8 m/s

Im having a problem processing this
 
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FloridaPhys said:
1. Convert 93x10^6 miles to minutes given that 1 km= .62 mile and that light travels at a speed of 3.0x10^8 m/s

Im having a problem processing this

The question is phrased clumsily. You can never convert a unit of distance into a unit of time. I assume the question means to ask, "How many minutes does it take for a particle traveling the speed of light to travel 93x10^6 miles?"

You can use pure unit conversion to think out the answer:
\frac{93x10^6 miles}{1} * \frac{1 km}{.62 miles} * \frac{1000 m}{1km} * \frac{1s}{3.00x10^8 m} * \frac{1 minute}{60 seconds}
 
FloridaPhys said:
1. Convert 93x10^6 miles to minutes given that 1 km= .62 mile and that light travels at a speed of 3.0x10^8 m/s

Im having a problem processing this
Use dimensional analysis. I believe you're trying to find the amount of time it takes for light to travel over 93x10^6 miles, thus converting from miles to minutes.
 
xcvxcvvc said:
The question is phrased clumsily. You can never convert a unit of distance into a unit of time. I assume the question means to ask, "How many minutes does it take for a particle traveling the speed of light to travel 93x10^6 miles?"

You can use pure unit conversion to think out the answer:
\frac{93x10^6 miles}{1} * \frac{1 km}{.62 miles} * \frac{1000 m}{1km} * \frac{1s}{3.00x10^8 m} * \frac{1 minute}{60 seconds}

thank you, i knew something was wrong with the question...
 
The answer is 8.33 minutes
 

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