A guitar string has a number of frequencies at which it will naturally vibrate when it is plucked. These natural frequencies are
known as the harmonics of the guitar string and are related to the length of the guitar string in an inverse relationship. For the first harmonic(also known as the fundamental frequency) the relationship can be expressed by the formula below, where f represents the frequency in cycles per second (Hertz) and L represents the length of the guitar string in meters. The quantity v is about 420 m/s.
Determine the fundamental frequency (f) in hertz (first harmonic) of the string if its length is 0.7 meters.
Determine the fundamental frequency (f) in hertz (first harmonic) of the string if its length is 0.7 meters.
1 answer:
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Answer:
hello your question is incomplete attached below is the complete question
answer : -2400 π
Step-by-step explanation:
dr/dt = -12 km/s
h = 2.5 km
r = 40 km at some instant
hence the rate of change of Volume of cylinder at that instance
= dv / dt =
= =
hence ; dv / dt = -2400 π
Answer:
A. √3 : 2
D. 3√3 : 6
Step-by-step explanation:
In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°
The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit
The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units
From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side
This is to say if;
The given the shorter leg = 1 unit
The hypotenuse is twice the shorter leg= 2 units
The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg
where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;
<u>Hence the summary is</u>
a=shorter leg= 1 unit
b=longer leg = √3 units
c=hypotenuse=2 units
The ratio of longer leg to its hypotenuse is
=√3:2⇒ answer option A
This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A
Answers are :option A and D