Speed of waves and time delay question

So the time delay would be slightly longer at 0.23 sec. In summary, the time delay for a television signal sent via satellite is approximately 0.23 seconds, based on an orbit altitude of 36,000 km and a round-trip distance of 60,000 km. This is calculated using the formula time = distance / speed, with a speed of 3 x 10^5 km/s.
  • #1
kirsten_2009
137
2

Homework Statement


[/B]
What is the time delay for a television signal that is sent via satellite? Communications satellites orbit above the equator in circles of radius 36,000 km (6 times larger than Earth’s radius!).

Not sure if my answer is correct...

Homework Equations



time=distance/speed

The Attempt at a Solution




Not sure how satellite signals work but I assume that they operate on the surface of the Earth and that the signal travels to the Earth’s surface and back to the satellite…so the actual distance would be 36,000 km – 6,000 km (the distance from the center of the Earth to the surface) = 30,000 km x 2 (round trip) = 60,000 km.

time = distance / speed = 60,000 km / 3x10⁵ km/sec = 0.2 sec

 
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  • #2
Your method is sound, but I'd double-check the orbit. 36,000 km is usually quoted as the orbit altitude, making 42,000 km radius from the Earth's center.
 

1. What is the speed of a wave?

The speed of a wave is the distance that a wave travels per unit of time. It is typically measured in meters per second (m/s).

2. How is the speed of a wave calculated?

The speed of a wave can be calculated by dividing the wavelength by the period. The wavelength is the distance between two consecutive peaks or troughs of a wave, while the period is the time it takes for one complete wavelength to pass a fixed point.

3. What factors affect the speed of a wave?

The speed of a wave can be affected by the medium through which it is traveling, the temperature, and the frequency or wavelength of the wave. In general, waves travel faster in denser materials and at higher temperatures.

4. What is time delay in relation to waves?

Time delay refers to the difference in time between the arrival of a wave at one point and its arrival at another point. This delay can occur due to factors such as the speed of the wave, the distance between the two points, and any obstacles or reflections that the wave encounters.

5. How can the time delay of waves be measured?

The time delay of waves can be measured by using specialized equipment such as oscilloscopes or by conducting experiments to observe the arrival of the waves at different points. It can also be calculated using mathematical formulas based on the speed of the wave and the distance between the two points.

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