Answer:
wavelength = 2m
Speed = 342m/s
Explanation:
The length of the pipe in terms of the wavelength is expressed as;
L = v/4 (For closed pipe)
v = 4L
Given
L = 50cm
L = 0.5m
Get the wavelength v;
v = 4(0.5)
v = 2.0m
Hence the wavelength is 2.0m
The speed of the sound in pipe is expressed as;
Fo = V/4L
Fo is the fundamental frequency
V is the speed of sound
L is the length of the pipe
171 = V/4(0.5)
V = 171 * 2
V = 342m/s
Hence the speed of the sound in pipe is 342m/s
Answer:
7503.13 N/m
Explanation:
Use principle of conservation of energy.
Here, energy stored in the spring due to compression shall be utilized in attaining the potential energy of the mug.
Given that,
Length of the spring = 20 cm = 0.20 m
Compression, x = 8 cm = 0.08 m
mass of the mug, m = 350 g = 0.35 kg
h = 7 m
use the expression for energy balance -
(1/2)*k*x^2 = m*g*h
=> k = (2*m*g*h) / x^2
input the values
k = (2*0.35*9.8*7) / 0.08^2
= 7503.13 N/m
Answer:
The probability is 0.2212
Solution:
As per the question:
Poisson rate, 
Now,
Let
X: time of waiting for the next vehicle on the highway
Now,
To find the probability of the next vehicle to arrive after 10 s
The probability distribution function is given by:
Now,
P(X < x) = 
For X> 0,
P(X > x) = 
P(X < 5) = 
Transform boundary
is the answer from stemscopes
