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
ArbitrLikvidat [17]
3 years ago
9

A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x =

5 sin (πt + π/3). What is the phase of the motion (in rad) at t = 2 s?
Physics
1 answer:
frutty [35]3 years ago
7 0

Answer:

θ = (7π / 3) rad

Explanation:

given,

displacement of simple harmonic motion along x-axis

equation is given as

                   x = 5 sin (π t + π/3 )

general equation of simple harmonic motion

                   x = A sin θ

           θ is the phase angle

      θ = π t + π/3

at   t = 2 s

      \theta =\pi \times 2 +\dfrac{\pi}{3}

      \theta =\dfrac{7\pi}{3}\ rad

Phase of the motion at t =2 s is θ = (7π / 3) rad

You might be interested in
The images show two different types of Galapagos tortoises that scientists believe descended from the same species. The first ty
vichka [17]

Answer:

C. turtles with genes for long necks had a better chance of surviving to reach reproductive age.

Explanation:

The turtles that had long necks were more fit to the environmnet in which they were lovated and were able to grow larger and have more reproductive time because of their ability to feed on grass and small shrubs, this helped them always haev food available, and made them the dominant gene eventually.

3 0
3 years ago
Read 2 more answers
Tim and Rick both can run at speed Vr and walk at speed Vw, with Vr > Vw.
miss Akunina [59]

Answer:

Δt =  \frac{2D}{Vw+Vr} - \frac{D}{2Vr} - \frac{D}{2Vw}

Explanation:

Hi there!

Using the equation of speed for the whole trip, we can obtain the time each one needed to cover the distance D.

The speed (v) is calculated by dividing the traveled distance (d) over the time needed to cover that distance (t):

v = d/t

Rick traveled half of the distance at Vr and the other half at Vw. Then, when v = Vr, the distance traveled was D/2 and the time is unknown, Δt1:

Vr = D/ (2 · Δt1)

For the other half of the trip the expression of velocity will be:

Vw = D/(2 · Δt2)

The total time traveled is the sum of both Δt:

Δt(total) = Δt1 + Δt2

Then, solving the first equation for Δt1:

Vr = D/ (2 · Δt1)

Δt1 = D/(2 · Vr)

In the same way for the second equation:

Δt2 = D/(2 · Vw)

Δt + Δt2 = D/(2 · Vr) + D/(2 · Vw)

Δt(total) = D/2 · (1/Vr + 1/Vw)

The time needed by Rick to complete the trip was:

Δt(total) = D/2 · (1/Vr + 1/Vw)

Now let´s calculate the time it took Tim to do the trip:

Tim walks half of the time, then his speed could be expressed as follows:

Vw = 2d1/Δt  Where d1 is the traveled distance.

Solving for d1:

Vw · Δt/2 = d1

He then ran half of the time:

Vr = 2d2/Δt

Solving for d2:

Vr · Δt/2 = d2

Since d1 + d2 = D, then:

Vw · Δt/2 +  Vr · Δt/2 = D

Solving for Δt:

Δt (Vw/2 + Vr/2) = D

Δt = D / (Vw/2 + Vr/2)

Δt = D/ ((Vw + Vr)/2)

Δt = 2D / (Vw + Vr)

The time needed by Tim to complete the trip was:

Δt = 2D / (Vw + Vr)

Let´s find the diference between the time done by Tim and the one done by Rick:

Δt(tim) - Δt(rick)

2D / (Vw + Vr) - (D/2 · (1/Vr + 1/Vw))

\frac{2D}{Vw+Vr} - \frac{D}{2Vr} - \frac{D}{2Vw} = Δt

Let´s check the result. If Vr = Vw:

Δt = 2D/2Vr - D/2Vr - D/2Vr

Δt = D/Vr - D/Vr = 0

This makes sense because if both move with the same velocity all the time both will do the trip in the same time.

8 0
3 years ago
The curved section of a horizontal highway is a circular unbanked arc of radius 740 m. If the coefficient of static friction bet
kirill [66]
The answer would be 54 m/s as the maximum speed
8 0
3 years ago
You are asked to burn gas using a Bunsen burner in order to boil water. Which of the following has no mass?
trapecia [35]

-- There is nothing on the list of choices that you provided that has no mass.

-- There are no "things" that have no mass.  Every sample of a liquid, a gas,
or a solid has mass, even if it's only an atom or two. 

I think the only possible items you could name that have no mass would be
spiritual, conceptual, or sensory ones, like maybe ...

-- idea
-- conviction
-- belief
-- concept
-- image
-- sound
-- illusion
-- impression
-- agreement
-- inclination
-- tendency
-- sparkle
-- tingle
-- pain

Things like that.


8 0
3 years ago
Each step in any energy conversion process will _____. gain energy create energy dissipate energy destroy energy
Damm [24]
The correct answer is to dissipate energy. Each step in any energy conversion process will dissipate energy. The energy conversion is the process in which a form of energy is being converted into a new or another form of energy.
7 0
3 years ago
Read 2 more answers
Other questions:
  • In what ways would organisms living in very deep water need to be specialized?
    7·1 answer
  • Which events may occur when ocean salinity increases? Check all that apply.
    8·2 answers
  • Horace has invented a unique pair of reading glasses that have two small light bulbs at the bottom wired in series, so that he c
    6·1 answer
  • Two vectors A and B are such that A =1,B=2,A.B=1 find angle
    12·1 answer
  • Which evidence supports Wegener's hypothesis? Choose the three that
    9·1 answer
  • I this right....????
    11·2 answers
  • 9. Steradian is the angel which lies in:<br> a) One dimension<br> b) Two dimensions
    12·2 answers
  • Which of the following properties of materials does NOT affect resistance?
    6·1 answer
  • Refraction occurs when a wave enters a new medium at an angle because
    8·1 answer
  • the fireman wishes to direct the flow of water from his hose to the fire at b. determine two possible angles u1 and u2 at which
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!