Question

In: Physics

Due to the Doppler effect, a moving aircraft sees the broadcast signals at 377 MHz from...

Due to the Doppler effect, a moving aircraft sees the broadcast signals at 377 MHz from a stationary communications antenna that broadcasts signals at 356 MHz. Find the relative velocity between the aircraft and the broadcast station. Determine the direction of the moving aircraft.

Solutions

Expert Solution

Given that the frequency of broadcast signal that a moving aircraft sees is 377 MHz and the broadcast signal frequency of the stationary communications antenna is 356 MHz where the frequency identified by aircraft is generated.Here we have to find the relative velocity between aircraft and broadcast station.

so the difference in frequency is 377-356=21 MHz

For solving this we have to consider the velocity of air at 20 degree celcius equals to 343 m/s

frequency at aircraft=frequency of antenna*(velocity of air +/- initial velocity / velocity of air +/- final velocity)

377=356*(343 +/- 0 / 343 +/- final velocity)

377=356*(343 / 343+final velocity)

377=122108 / 356(343+final velocity)

interchanging numerator and denominator on both sides

1/377=356(343+final velocity) / 122108

122108/377=356(343+final velocity)

323.8938=356(343+final velocity)

323.8938/356=343+final velocity

0.9098-343=final velocity

final velocity=-342 m/s

The final velocity we obtained is the relative velocity between the aircraft and broadcast station.

The aircraft is moving opposite to the direction of broadcast station.


Related Solutions

Prove the Doppler Effect: (a)detector moving, source stationary. (b) source moving, detector stationary. (c) general Doppler...
Prove the Doppler Effect: (a)detector moving, source stationary. (b) source moving, detector stationary. (c) general Doppler Effect equation.
A skydiver of mass 75.0 kg jumps from a slow-moving aircraft and reaches a terminal speed...
A skydiver of mass 75.0 kg jumps from a slow-moving aircraft and reaches a terminal speed of 47.1 m/s. (a) What is her acceleration when her speed is 30.0 m/s? magnitude m/s2 direction ---Direction--- upward downward (b) What is the drag force on the skydiver when her speed is 47.1 m/s? magnitude N direction ---Direction--- upward downward (c) What is the drag force on the skydiver when her speed is 30.0 m/s? magnitude N direction ---Direction--- upward downward
A skydiver of mass 77.0 kg jumps from a slow-moving aircraft and reaches a terminal speed...
A skydiver of mass 77.0 kg jumps from a slow-moving aircraft and reaches a terminal speed of 53.8 m/s. (a) What is her acceleration when her speed is 30.0 m/s? magnitude m/s2 direction ---Direction--- upward downward (b) What is the drag force on the skydiver when her speed is 53.8 m/s? magnitude N direction ---Direction--- upward downward (c) What is the drag force on the skydiver when her speed is 30.0 m/s? magnitude N direction ---Direction--- upward downward
A skydiver of mass 82.0 kg jumps from a slow-moving aircraft and reaches a terminal speed...
A skydiver of mass 82.0 kg jumps from a slow-moving aircraft and reaches a terminal speed of 49.9 m/s. (a) What is her acceleration when her speed is 30.0 m/s? (b) What is the drag force on the skydiver when her speed is 49.9 m/s? (c) What is the drag force on the skydiver when her speed is 30.0 m/s?
Maple Aircraft has issued a 4¾% convertible subordinated debenture due 3 years from now. The conversion...
Maple Aircraft has issued a 4¾% convertible subordinated debenture due 3 years from now. The conversion price is $47.00 and the debenture is callable at 102.75% of face value. The market price of the convertible is 91% of face value, and the price of the common is $41.50. Assume that the value of the bond in the absence of a conversion feature is about 65% of face value. In the absence of the conversion feature, what is the current yield...
Calculate the deflection due to Coriolis effect of a mass m dropped from a tower of...
Calculate the deflection due to Coriolis effect of a mass m dropped from a tower of height h at the north pole.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT