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
Gala2k [10]
3 years ago
12

A body in simple harmonic motion has a displacement x that varies in time t according to the equation x = 5cos(π t + π/3) , wher

e x is in cm and t is in seconds. What is the frequency of the oscillation?
Physics
2 answers:
zhuklara [117]3 years ago
7 0

Answer:

1/2 Hz

Explanation:

A simple harmonic motion has an equation in the form of

x(t) = Acos(\omega t - \phi)

where A is the amplitude, \omega = 2\pi f is the angular frequency and \phi is the initial phase.

Since our body has an equation of  x = 5cos(π t + π/3) we can equate \omega = \pi and solve for frequency f

2\pi f = \pi

f = 1/2 Hz

IRISSAK [1]3 years ago
6 0
<h2>Answer:</h2>

0.5Hz

<h2>Explanation:</h2>

The general equation of the displacement, x, of a body undergoing simple harmonic motion at a given point in time (t) is given by;

x = A cos (ωt ± ∅)  --------------------------(i)

where;

A = amplitude of the wave

ω = angular velocity of the wave

∅ = phase constant of the wave

<em>From the question;</em>

x = 5cos(π t + π/3)      -----------------------------(ii)

<em>Comparing equations (i) and (ii), the following deductions among others can be made;</em>

A = 5cm

ω = π

<em>But the angular velocity (ω) of the wave is related to its frequency (f) as follows;</em>

ω = 2 π f        --------------------(iii)

<em>Substitute the value of ω = π  into equation (iii) as follows;</em>

π = 2 π f

<em>Divide through by π;</em>

1 = 2f

<em>Solve for f;</em>

f = 1/2

f = 0.5

Frequency (f) is measured in Hz. Therefore, the frequency of the oscillation is 0.5Hz

You might be interested in
How much work is done on a small car if a 3150 N force is exerted to move it 75.5 m to the side of the road
irinina [24]

Answer:

Explanation:

Work = Force times displacement. Therefore,

W = 3150(75.5) so

W = 238000 N*m

6 0
2 years ago
In which direction does a bag at rest move when a force of 20 newtons is applied from the right?
worty [1.4K]

Answer:

in the direction of the applied force

Explanation:

8 0
3 years ago
10. A worker uses a pulley system to raise a 24.0 kg carton 16.5 m. A force of 129 N is exerted and the rope is pulled 33.0 m. a
lozanna [386]

Answer: Machanical advantage of the machine is 1.86

Explanation: Machanical advantage of a machine is the ratio of the Force to overcome which is the load in this case 24kg * 10= 240N to the force exerted(Effort) to overcome the load in this case 129N.

So, we have

MA = load/effort

= 240N/129N

= 1.86.

5 0
2 years ago
A hollow cylinder with an inner radius of 5 mm and an outer radius of 26 mm conducts a 4-A current flowing parallel to the axis
bearhunter [10]

Answer:

B = 38.2μT

Explanation:

By the Ampere's law you have that the magnetic field generated by a current, in a wire, is given by:

B=\frac{\mu_o I_r}{2\pi r}     (1)

μo: magnetic permeability of vacuum = 4π*10^-7 T/A

r: distance from the center of the cylinder, in which B is calculated

Ir: current for the distance r

In this case, you first calculate the current Ir, by using the following relation:

I_r=JA_r

J: current density

Ar: cross sectional area for r in the hollow cylinder

Ar is given by  A_r=\pi(r^2-R_1^2)

The current density is given by the total area and the total current:

J=\frac{I_T}{A_T}=\frac{I_T}{\pi(R_2^2-R_1^2)}

R2: outer radius = 26mm = 26*10^-3 m

R1: inner radius = 5 mm = 5*10^-3 m

IT: total current  = 4 A

Then, the current in the wire for a distance r is:

I_r=JA_r=\frac{I_T}{\pi(R_2^2-R_1^2)}\pi(r^2-R_1^2)\\\\I_r=I_T\frac{r^2-R_1^2}{R_2^2-R_1^2}  (2)

You replace the last result of equation (2) into the equation (1):

B=\frac{\mu_oI_T}{2\pi r}(\frac{r^2-R_1^2}{R_2^2-R_1^2})

Finally. you replace the values of all parameters:

B=\frac{(4\pi*10^{-7}T/A)(4A)}{2\PI (12*10^{-3}m)}(\frac{(12*10^{-3})^2-(5*10^{-3}m)^2}{(26*10^{-3}m)^2-(5*10^{-3}m)^2})\\\\B=3.82*10^{-5}T=38.2\mu T

hence, the magnitude of the magnetic field at a point 12 mm from the center of the hollow cylinder, is 38.2μT

8 0
2 years ago
A topical,cause and affect, chronological, spatial, pattern arranges main points according to physical direction or location.
Lady bird [3.3K]
<span>A spatial pattern arranges main points according to physical direction or location.</span>
7 0
3 years ago
Other questions:
  • What is the kinetic energy of a 1.0-kg billiard ball that moves at 5.0 m/s?
    8·1 answer
  • A horse was at rest.what was the final velocity of the horse if it covered 200 meters in 16 seconds?
    14·1 answer
  • For number 1 I'm really confused
    6·2 answers
  • Newton's law of gravitation states that two masses will ______.
    9·2 answers
  • A stone was dropped off a cliff and hit the ground with a speed of 96 ft/s. What is the height of the cliff? (Use 32 ft/s2 for t
    5·1 answer
  • What is it called when objects become positively charged when they lose electrons and negatively charged when they gain electron
    5·2 answers
  • State pascal is law.<br>please answer me​
    11·1 answer
  • Plz help owo
    15·1 answer
  • How could you know that a chemical change has taken place?
    14·2 answers
  • If i step on a shard of glass while playing volleyball barefoot, which path will the reflex to pull my foot up follow?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!