A bass guitar string is 89 cm long with a fundamental frequency of 30 Hz. What is the wave speed on this string?
1 answer:
Answer:
53.4 m/s
Explanation:
For a standing wave on a string, the fundamental frequency is given by
where
v is the wave speed
f is the frequency
L is the length of the string
For the wave on the guitar string in this problem, we have
is the fundamental frequency
L = 89 cm = 0.89 m is the length of the string
Solving the equation for v, we find the wave speed:
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Answer:
The speed of projection is 34 m/s.
Explanation:
Height of building, h = 51 m
horizontal distance, d = 74 m
time, t = 8 s
Let the angle is A and the speed is u.
d = u cos A x t
74 = u cos A x 8
u cos A = 9.25 .... (1)
Use second equation of motion
Squaring and adding both the equations
Answer:
Explanation:
stiffness k = 160
m = 10
angular frequency ω =
=
= 4
ω = 4
Let x = 4 - A sinωt
when t = 0
x = 4 in
when t = 2 s , x = - 4
- 4 = 4 - A sinωt
8 = A sin 4 x 2
8 = A sin8
A = 8 / sin 8
= 8 / .989
= 8.09 in .
x = 4 - A sinωt
dx / dt = - Aω cosωt
v = - Aω cosωt
for t = 0
v = - Aω
= - 8.09 x 4
= - 32.36 in / s
initial velocity v = - 32.36 in /s
displacement x for t = 4s
x = 4 - 8.09 sin 4 x 4
= 4 - 8.09 sin 16
= 4 - 8.09 x - .2879
= 4 + 2.33
= 6.33 in.
c ) Amplitude of vibration A = 8.09 in .as calculated above .