A tube, open at only one end, is cut into two shorter (nonequal) lengths. The piece that is open at both ends has a fundamental frequency of 422 Hz, while the piece open only at one end has a fundamental frequency of 666 Hz. What is the fundamental frequency of the original tube?

159.1 Hz

Explanation:

The formula for the fundamental frequency of an open pipe is given as,

f' = v/2l' Equation 1

Where f' = fundamental frequency of the open pipe, v = velocity of sound in air, l' = length of the open pipe.

make l' the subject of the equation

l' = v/2f' Equation 2

Given: f' = 422 Hz, v = 343 m/s

Substitute into equation 2

l' = 343/(2×422)

l' = 0.41 m.

Also, for the closed pipe

f = v/4l

Where f = fundamental frequency of the closed pipe, l = length of the closed pipe.

make l the subject of the equation

l = v/4f Equation 4

Given: f = 666 Hz, v = 343 m/s.

Substitute into equation 4

l = 343/(4×666)

l = 0.129 m.

But,

Length of the original tube = l+l' = 0.41+0.129 = 0.539 m.

L = 0.539 m.

Note: The tube is a closed pipe.

F = v/4L Equation 5

Where F = Fundamental frequency of the original tube.

F = 343/(4×0.539)

F = 159.1 Hz.

Hence the fundamental frequency of the original tube = 159.1 Hz

it will be pushed away from the source of the electric field. a negative charge in a cloud induces a positive charge in the ground below the cloud.

explanation:

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.