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Zorluk: OrtaLatitude, Longitude, and Time Calculations

An international scientific symposium begins at 11:15 AM11:15\text{ AM} local solar time in City P, located at longitude 40∘E40^\circ\text{E}. At what local solar time does the symposium begin for a participant watching live from City Q, located at longitude 15∘W15^\circ\text{W}?

  1. 07:35 AM07:35\text{ AM}Cevap
  2. B
    02:55 PM02:55\text{ PM}
  3. C
    09:35 AM09:35\text{ AM}
  4. D
    12:55 PM12:55\text{ PM}

Cevap

07:35 AM07:35\text{ AM}
To find the time at City Q (15∘W15^\circ\text{W}) given the time at City P (40∘E40^\circ\text{E}), first calculate the total angular separation across the Prime Meridian: 40∘+15∘=55∘40^\circ + 15^\circ = 55^\circ. Multiplying by 4 minutes per degree4\text{ minutes per degree} gives a total time difference of 220 minutes220\text{ minutes}, which equals 3 hours 40 minutes3\text{ hours } 40\text{ minutes}. Because City Q is located to the west of City P, time must be subtracted: 11:15 AM11:15\text{ AM} minus 3 hours 40 minutes3\text{ hours } 40\text{ minutes} gives 07:35 AM07:35\text{ AM}.

Adım Adım Çözüm

1
Calculate the total longitudinal difference between City P (40∘E40^\circ\text{E}) and City Q (15∘W15^\circ\text{W}).
Longitudinal difference = 40∘+15∘=55∘40^\circ + 15^\circ = 55^\circ
Since the two locations lie in different hemispheres (East and West), their longitudinal values must be added together to find total angular separation.
2
Convert the longitudinal difference into a time difference using the rate of 1∘=4 minutes1^\circ = 4\text{ minutes}.
Time difference = 55×4 minutes=220 minutes=3 hours 40 minutes55 \times 4\text{ minutes} = 220\text{ minutes} = 3\text{ hours } 40\text{ minutes}
The Earth rotates 360∘360^\circ in 24 hours, which corresponds to 15∘15^\circ per hour or 1∘1^\circ every 4 minutes.
3
Determine the local solar time at City Q by adjusting for directional orientation relative to City P.
11:15 AM−3 hours 40 minutes=07:35 AM11:15\text{ AM} - 3\text{ hours } 40\text{ minutes} = 07:35\text{ AM}
City Q is located to the west of City P, so its local time is behind (earlier than) City P.

Anahtar Kavram

Calculation of local solar time differences using longitudes across hemispheres
Tahmini Süre:1m 30s
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Latitude, Longitude, and Time Calculations

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