Just for grins and giggles....mathish question

SkyHog

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Ok...I am having a hard time grasping this (I am tired, I can't grasp anything).
**THIS LINE REMOVED TO AVOID BEING INDEXED***
There are 24 hours in a day.
There are 60 minutes in an hour.
There are 60 seconds in a minute.

That means there are 86400 seconds in a day.

Suppose there were 26000 seconds in a day. How many hours and minutes would there be?

I can't grasp it. Any ideas?
 
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Assuming 60 second minutes and 60 minute hours you would have 7.22 hours

Kevin
 
60 x 60 x hours = 26000

hours = 7.22 And it makes sense, since 7 is roughly 1/4 of 26, as 24 is 1/4 of 86.
 
SkyHog said:
Suppose there were 26000 seconds in a day. How many hours and minutes would there be?

You lost me here. Are you saying that a day is no longer 86400 seconds long or that we are what to know how many minutes and hours there are with 26000 seconds?
 
p8cleared2land said:
60 x 60 x hours = 26000

hours = 7.22 And it makes sense, since 7 is roughly 1/4 of 26, as 24 is 1/4 of 86.

OK, how many people have heard of .22 minutes? Nobody answered the QUESTION, which was "how many hours and minutes would there be"?

There's two answers to that, or more, depending on what's really desired in the answer. As smigaldi points out, it's not entirely clear.

If you're asking how many hours and minutes there would be if we kept the existing 60-minutes-per-hour and 60-seconds-per-minute-division mechanism, as most answers have assumed, there would be 7 hours and (not .22) just over 13 minutes.

I could also make a 26 hour day, with each hour being defined by 10 minutes each 100 seconds long, or... (we could go on with this all day).

Not enough information to answer the question definitively. But, if it's asking what it sounds like it's asking, the answer is 7 hours and just over 13 minutes (13.33333333333[ad nauseaum], more precisely).
 
Or we could say that 26000 seconds is equivelent to 433 1/3 minutes or 7.22 hours or .301 days

And if wanted to get silly that is also equivelent to .043 weeks or 8.26 x 10E-4 years or 8.26x10E-5 decades or 8.26x10E-7 centuries
:dunno:

What is the point other than simple unit recalculations?
 
smigaldi said:
Or we could say that 26000 seconds is equivelent to 433 1/3 minutes or 7.22 hours or .301 days

And if wanted to get silly that is also equivelent to .043 weeks or 8.26 x 10E-4 years or 8.26x10E-5 decades or 8.26x10E-7 centuries
:dunno:

What is the point other than simple unit recalculations?

It will also depend on your velocity, as relativistic effects can be expected as you approach lightspeed.
 
TMetzinger said:
It will also depend on your velocity, as relativistic effects can be expected as you approach lightspeed.

Ha! Great answer!

I just (finally) read Stephen Hawking's A Brief History of Time... saw it on the shelf at the library, and thought "Now THERE's a book I need to read!" (after hearing all the good comments about it HERE at POA).
 
TMetzinger said:
It will also depend on your velocity, as relativistic effects can be expected as you approach lightspeed.

Hmm but not to me only to those not at my relative speed. If I were traveling at relativistic speeds 1 sec is still one second to me but not to an observer.

For instance if I were travelling at 9/10th the speed of light

The according to the special theory of relativity the observed time can be expressed as:

t'=a(t-v/c^2) and a (Lorentz Factor) = 1/SQRT(1-v^2/c^2)

So at .9c a=1/SQRT(1-(.9c)^2/c^2) = 1/SQRT(1-.81) or 2.294

So t' then is expressed as

= 2.294(1-.9c/c^2)

= 2.294(1-.9/c) [BTW c=300,000 km/s]

= 2.294(.999999997)

= 2.29 seconds

What that means is that the 26000 seconds will still be 26000 seconds to me or the 7 hours and 13 minutes but to you it will seem like

2.29 * 26000 seconds or 16 hours and 32 minutes (about)

:D:D

So here is one more question will my mass or dimensions change?
 
BTW when I took quantum mechanics and advanced physics way back when one of our quiz questions was that old joke, "if you are travelling the speed of light and turn on your headlights what happens". The idea being that the light from the headlights are travelling just as fast as you so that you woulnd not see them lighting up anything infront of you. The answer was you will slow down. Noodle over that for a while.

Nick thanks for the diversion.
 
True. But who cares what the time is where YOU are, Mr. "Look at me I'm moving SOOOO fast"? I want to know about MY time.

:)
 
Ok ....I Give up!
When i posted the 7.22 could it not be done in Universal time and 7.22 would roughly equal seven hours and a tad less than 15 minutes? something like seven hours and 13 minutes.
 
kthompson2k said:
Ok ....I Give up!
could it not be done in Universal time

Universal Time is the time based on the angular velocity of the earth's rotation. Coordinated Universal Time or UTC is an atomic time calibrated for UT. UTC is the time along the prime meridian commonaly called Greenwich Mean Time.

But the answer could be expressed as 7.22 hours which is also 7 hours and 13 minutes, nothing wrong with your answer. What we really need is for Nick to answer our questions.

BTW I recently got to see Harrison's H2 clock. It was his inventions related to time keeping that made it possible for people to accuratly determine the longitude based on time from Greenwich where the Royal observatory is located.

I wonder how far we can get this thread to creep??
 
I don't see what's hard about this.

If we are still assuming there are 60 seconds to a minute. 60 minutes to a hour. That means...

26,000 seconds = 7 hours 13 minutes and 20 seconds

To verify my answer:
3,600 seconds per hour... 3,600 * 7 = 25,200
60 seconds to a minute.... 60 * 13 = 780
20 seconds left.......................... = 20

25,200 + 780 + 20 = 26,000 seconds.
 
jangell said:
I don't see what's hard about this.

If we are still assuming there are 60 seconds to a minute. 60 minutes to a hour. That means...

26,000 seconds = 7 hours 13 minutes and 20 seconds

To verify my answer:
3,600 seconds per hour... 3,600 * 7 = 25,200
60 seconds to a minute.... 60 * 13 = 780
20 seconds left.......................... = 20

25,200 + 780 + 20 = 26,000 seconds.

The issue is because Nick's question is if there are 26,000 seconds in a day. The standard day we all enjoy now here on this planet is not 26,000 seconds long. Therefore there is an implied changed of time keeping.

But if the question were how many hours and minutes are there in 26,000 seconds your answer would be correct.
 
smigaldi said:
The issue is because Nick's question is if there are 26,000 seconds in a day. The standard day we all enjoy now here on this planet is not 26,000 seconds long. Therefore there is an implied changed of time keeping.

But if the question were how many hours and minutes are there in 26,000 seconds your answer would be correct.

I understand that. But if you look at Nick's question he establishes at the top what the units are. He does not say anything about a change in time keeping. He just says a day is shorter now. I'm not going to debate how our days just became shorter.

The answer to the question as it was worded it is what I wrote. I'm sure he meant something else.
 
smigaldi said:
The issue is because Nick's question is if there are 26,000 seconds in a day. The standard day we all enjoy now here on this planet is not 26,000 seconds long. Therefore there is an implied changed of time keeping.

But if the question were how many hours and minutes are there in 26,000 seconds your answer would be correct.

I understand that. But if you look at Nick's question he establishes at the top what the units equal. After that it is stated that a day now is 26,000 seconds.. It did not say that the length of minutes or hours changed.

The answer to the question as it was worded it is what I wrote. I'm sure he meant something else.
 
smigaldi said:
Nick thanks for the diversion.

I don't know...I had an algebra prof who loved to give these kinds of problems. I think someone cut his brake lines...

:D
 
jangell said:
I don't see what's hard about this.

If we are still assuming there are 60 seconds to a minute. 60 minutes to a hour. That means...

26,000 seconds = 7 hours 13 minutes and 20 seconds

To verify my answer:
3,600 seconds per hour... 3,600 * 7 = 25,200
60 seconds to a minute.... 60 * 13 = 780
20 seconds left.......................... = 20

25,200 + 780 + 20 = 26,000 seconds.

Just like me to leave the 20 seconds off..dang college edumicated kids!:dunno:
 
oops - should have been more clear.

basically, 86400 real seconds = 26000 NerdSeconds.

Trial and error I came up with this, and it works enough to be easier to compute:

20 seconds in a minute
50 minutes in an hour
26 hours in a day.

26000 seconds total.
 
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