1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dusya [7]
3 years ago
10

A plucked violin string carries a traveling wave given by the equation f(x,t)=asin[b(x−ct)+ϕi], with a = 0.00580 m , b = 33.05 m

−1 , and c = 245 m/s .
A) If f(0, 0) = 0, what is ϕi?

B) Determine the simple harmonic period of a point on the string.
Physics
2 answers:
Viktor [21]3 years ago
0 0

Answer:

A) Φ = 0 , B)  T = 7.76 s

Explanation:

A) to find the value of the phase constant replace the value

          0 = a sin (b (0- 0) + Φ)

           0 = sin Φ

           Φ = sin⁻¹ 0

           Φ = 0

B) the period is defined by time or when the movement begins to repeat itself

So that the sine function is repeated when the angle passes 2pi

            b (x- ct) = 2pi

If we are at a fixed point x = 0

           b c t = 2pi

            t = 2π / bc

Let's calculate

            T = 2π / (33.05 245)

            T = 7.76 s

ratelena [41]3 years ago
0 0

Answer:

A. Φi = 0

B. Simple harmonic period, T = 0.0445s

Explanation:

Parameters given:

a = 0.00580 m

b = 33.05 m-1

c = 245 m/s

A. At time t = 0 and point x = 0, f(x, t) = 0. Hence, the string is not moving at all. It is static and in its start position.

f(x, t) = asin[b(x - ct) + Φi]

f(0,0) = asin[b(0 - 0) + Φi] = 0

asin[b(0) - Φi] = 0

asin[Φi] = 0

sinΦi = 0

Φi = sin-1(0)

Φi = 0

B. By comparing the given function with the general wave function,

f(x, t) = Asin(kx - ωt + Φ)  ;  f(x, t) = asin(bx - bct + Φi)

a = A (amplitude of the wave)

b = k (wave number)

bc = ω (angular frequency)

The period of the simple harmonic motion can then be found using:

T = 2π/ω

=> T = 2π/bc

T = 2π/(33×245)

T = 0.0445 s

The simple harmonic period is 0.0445s

You might be interested in
What is the next step if the data from an investigation do not support the original hypothesis? A. The data are revised to suppo
Leno4ka [110]
I believe the answer is D. <span>The hypothesis is revised and another experiment is conducted.</span>
5 0
3 years ago
Read 2 more answers
State the equation of momentum impulse theorem.
Paladinen [302]

Answer:

J = Δp

Explanation:

The impulse-momentum theorem says that the impulse J is equal to the change in momentum p.

J = Δp

3 0
3 years ago
. A stationary mass explodes into two parts of mass 4 kg and 40 kg . If the K.E of larger mass is 100 J . The K.E of small mass
alisha [4.7K]

Answer:

10J

Explanation:

KE = (1/2)mv²

100J = (.5)(40kg)v²

v²=(100J)/(20kg)

v²= 5

KE = 5(.5)(4kg)

KE = 10J

3 0
3 years ago
When a certain string is clamped at both ends, the lowest four resonant frequencies are 50, 100, 150, and 200 Hz. When the strin
mario62 [17]

Answer:

Explanation:

Given

Lowest four resonance frequencies are given with magnitude

50,100,150 and 200 Hz

The frequency of vibrating string is given by

f=\frac{n}{2L}\sqrt{\frac{T}{\mu }}

where n=1,2,3 or ...n

L=Length of string

T=Tension

\mu =Mass per unit length

When string is clamped at mid-point

Effecting length becomes L'=0.5 L

Thus new Frequency becomes

f' =\frac{n}{L}\sqrt{\frac{T}{\mu }}

i.e. New frequency is double of old

so new lowest four resonant frequencies are 100,200,300 and 400 Hz      

4 0
3 years ago
A(n) _____ is a gap in the geologic record where some rock layers have been lost because of erosion.
Elenna [48]
I'm not sure, I think it's option A.

Let me know if I'm wrong!
4 0
3 years ago
Other questions:
  • This type of heat transfer occurs when heat moves from one molecule to another.
    5·2 answers
  • Select all that apply.
    5·1 answer
  • A car is traveling at 16 m/s^2
    15·1 answer
  • Gold has a density of 19.3 g/cm3. I fyou has a 2.00 cm3 block of gold, what would be its mass?
    9·1 answer
  • What is the acceleration of an object if it goes from a velocity of +25 m/s to rest in 5.0 s?
    7·1 answer
  • What types of alternative fuels did bp pursue after browne became ceo in 1995?
    14·1 answer
  • If the distance between two masses is tripled, the gravitational force between changes by a factor of:_______
    12·1 answer
  • A solid ball has a radius of 2cm and a length of 7cm. It has a density of 3.1g/cm3
    13·1 answer
  • If a woman weighs 125 lb, her mass expressed in kilograms is x kg, where x is
    9·2 answers
  • What is nuclear fission?​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!