A) The answers are:
the first frequency - 428.75 Hz
the second frequency - 1286.25 Hz
the third frequency - 2143.75 Hz
The frequency (when the pipe is closed) is: f = v(2n - 1)/4L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe
We know:
v = 343 m/s
L = 20 cm = 0.2 m
1. The first frequency (n = 1):
f = 343 * (2 * 1 - 1) / 4 * 0.2 = 343 * 1 / 0.8 = 428.75 Hz
2. The second frequency (n = 2):
f = 343 * (2 * 2 - 1) / 4 * 0.2 = 343 * 3 / 0.8 = 1286.25 Hz
3. The third frequency (n = 3):
f = 343 * (2 * 3 - 1) / 4 * 0.2 = 343 * 5 / 0.8 = 2143.75 Hz
B) The answers are:
the first frequency - 857.5 Hz
the second frequency - 1715 Hz
the third frequency - 2572.5 Hz
The frequency (when the pipe is open) is: f = vn/2L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe
We know:
v = 343 m/s
L = 20 cm = 0.2 m
1. The first frequency (n = 1):
f = 343 * 1 / 2 * 0.2 = 343 / 0.4 = 857.5 Hz
2. The second frequency (n = 2):
f = 343 * 2 / 2 * 0.2 = 686 / 0.4 = 1715 Hz
3. The third frequency (n = 3):
f = 343 * 3 / 2 * 0.2 = 1029 / 0.4 = 2572.5 Hz
Answer:
no
22.25 minutes
Step-by-step explanation:
First determine how long it will take her to read the entire book
20 pages 47 pages
-------------- = ----------------
35 minutes x minutes
Using cross products
20x = 35*47
20x=1645
Divide by 20
20x/20 = 1645/20
x =82.25 minutes
This is more than 1 hour ( 1 hour = 60 minutes)
82.25 minutes - 60 minutes = 22.25 minutes
She will need 22.25 more minutes
B = 2h
Area = 121
1/2 × b × h = 121
1/2 × 2h × h = 121
h × h = 121
h^2 = 121
h = square root of 121
h = 11
The height is 11 kilometers
since she already has 18 cups flour she needs 6 cups of sugar
