Driving your Ferrari through the Italian countryside at a speedy 88 m/s, you approach an opera diva singing a high C (1,046 Hz).
1 answer:
Answer:
You will hear the note E₆
Explanation:
We know that:
Your speed = 88m/s
Original frequency = 1,046 Hz
Sound speed = 340 m/s
The Doppler effect says that:
Where:
f = original frequency
f' = new frequency
v = velocity of the sound wave
v0 = your velocity
vs = velocity of the source, in this case, the source is the diva, we assume that she does not move, so vs = 0.
Replacing the values that we know in the equation we have:
This frequency is close to the note E₆ (1,318.5 Hz)
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Answer:
Explanation:
Centripetal acceleration (a) is defined as the square of an object's velocity (V^2) divided by the distance of the object from it's point/axis of revolution (r). So:
which allows us to solve for the velocity:
Answer:
1 mile
Explanation:
We can use the following equation of motion to solve for this problem:
where v m/s is the final take-off velocity of the airplane, initial velocity of the can when it starts from rest, a is the acceleration of the airplanes, which are the same, and
is the distance traveled before takeoff, which is minimum runway length:
From here we can calculate the distance ratio
Since the 2nd airplane has the same acceleration but twice the velocity
So the minimum runway length is 1 mile