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
mojhsa [17]
3 years ago
7

A stretched string has a mass per unit length of 4.87 g/cm and a tension of 16.7 N. A sinusoidal wave on this string has an ampl

itude of 0.101 mm and a frequency of 71.0 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x,t) = y_m sin(kx + ωt), what are (a) y_m, (b) k, and (c) ω, and (d) the correct choice of sign in front of ω?
Physics
1 answer:
Burka [1]3 years ago
5 0

Answer:

Explanation:

Given that,

Mass per unit length is

μ = 4.87g/cm

μ=4.87g/cm × 1kg/1000g × 100cm/m

μ = 0.487kg/m

Tension

τ = 16.7N

Amplitude

A = 0.101mm

Frequency

f = 71 Hz

The wave is traveling in the negative direction

Given the wave form

y(x,t) = ym• Sin(kx + ωt)

A. Find ym?

ym is the amplitude of the waveform and it is given as

ym = A = 0.101mm

ym = 0.101mm

B. Find k?

k is the wavenumber and it can be determined using

k = 2π / λ

Then, we need to calculate the wavelength λ using

V = fλ

Then, λ = V/f

We have the frequency but we don't have the velocity, then we need to calculate the velocity using

v = √(τ/μ)

v = √(16.7/0.487)

v = 34.29

v = 5.86 m/s

Then, we can know the wavelength

λ = V/f = 5.86 / 71

λ = 0.0825 m

So, we can know the wavenumber

k = 2π/λ

k = 2π / 0.0825

k = 76.18 rad/m

C. Find ω?

This is the angular frequency and it can be determined using

ω = 2πf

ω = 2π × 71

ω = +446.11 rad/s

D. The angular frequency is positive (+) because the direction of propagation of wave is in the negative direction of x

You might be interested in
Helppppppp its exam ​
UkoKoshka [18]

Answer:

a. 240.2 C

Explanation:

7 0
3 years ago
A mass m0 is attached to a spring and hung vertically. The mass is raised a short distance in the vertical direction and release
iragen [17]

Answer:

The frequency of the oscillations in terms of fo will be f2=fo/3

E xplanation:

T= 2pie\frac sqrt {m}{k}

 \frac {{f2}/times {fo}}=1:3

⇒f2=fo\3

Here frequency f is inversely poportional to square root of mass m.

so the value of remainder of frequency f2 and fo is equal to 1:3.

⇒\frac{f2} {f1} = \frac sqrt{m1}[m2}

⇒\frac{f2}{fo} = 1:3

⇒f2=\frac{fo} {3}

6 0
2 years ago
Shayla was late for school. She ran the last half mile in 4 minutes. What was her average speed in miles per hour?
Shtirlitz [24]

Answer:

7.5 miles per  hour

Explanation:

6 0
2 years ago
14. It takes an airplane nearly ¾ of a mile to stop. Which law of motion is being used?
swat32
Newton’s first law because the airplane needs space to fully stop due to its inertia
6 0
2 years ago
Read 2 more answers
Christina drives his moped 7 kilometers North. She stops for lunch and then drives 5 kilometers East. What distance did she cove
Mashutka [201]

Answer:

She covers the distance is 12 km.

The magnitude of displacement is 8.6 km.

The direction of her displacement is north east.

Explanation:

Given that,

Christina drives his moped 7 kilometers North and stop for lunch and then drive 5 km east.

We need to calculate the total distance

Using formula of distance

d=d_{1}+d_{2}

Put the value into the formula

d=7+5

d=12\ km

We need to calculate the magnitude of displacement

Using formula of displacement

D=xi+yj

D=5i+7j

D=\sqrt{5^2+7^2}

D= 8.6\ km

The direction of her displacement is north east.

Hence, She covers the distance is 12 km.

The magnitude of displacement is 8.6 km.

The direction of her displacement is north east.

6 0
3 years ago
Other questions:
  • Why do bolt cutters have long handles and short blades laws of physics?
    6·1 answer
  • A bullet is fired through a board 13.0 cm thick in such a way that the bullet's line of motion is perpendicular to the face of t
    6·1 answer
  • What geological forces drive tectonic movements?
    11·2 answers
  • Explain why beaches can be considered both erosional and depositional. Remember to write in complete sentences!
    8·1 answer
  • What is the dependent variable in an experiment testing the effects of pH on growth of a seed?
    11·1 answer
  • When you jump, you push down on the earth and it pushes back up against you. The earth pushing up against you is what causes you
    9·1 answer
  • the electromagnet shown in the image has a wire coiled 5 times around a nai. it can lift up to 7 metal paper clips. What two cha
    13·2 answers
  • What has more momentum a large truck stopped at a stop sign or a motorcycle moving down the road.
    5·1 answer
  • What do protoplanets eventually grow into?​
    8·1 answer
  • When current first leaves the battery, how much voltage does it have
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!