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
Phoenix [80]
3 years ago
10

The function x = (3.0 m) cos[(4π rad/s)t + π/5 rad] gives the simple harmonic motion of a body. Find the following values at t =

3.0 s.(a) the displacementm(b) the velocity (Include the sign of the value in your answer.)m/s(c) the acceleration (Include the sign of the value in your answer.)m/s2(d) the phase of the motionrad(e) the frequency of the motionHz`(f) the period of the motions
Physics
1 answer:
just olya [345]3 years ago
5 0

Answer:

Explanation:

x  = 3 Cos (4πt + π/5)

(a) Substitute t = 3 s

x = 3 Cos (12π + π/5)

x = 3 (0.82) = 2.46 m

(b) Velocity, v = dx/dt

v = 3 (-1)(4π) Sin(4πt + π/5)

Substitute t = 3 s

v = - 37.68 Sin(12π + π/5)

v = - 37.68 (0.572)

v = - 21.55 m/s

(c) Acceleration, a = dv/dt

a = 3 (-1)(4π)(4π) Cos(4πt + π/5)

Substitute t = 3 s

a = - 473.26 (0.82)

a = - 388.21 m/s²

(d) Phase = 4πt + π/5

Substitute t = 3 s

Phase = 12 π + π/5 = 38.308 rad

(e) ω = 4π

so, 2πf = 4π

f = 2 Hz

(f) T = 1 / f = 1 / 2 = 0.5 second  

You might be interested in
A hydraulic machine has a small piston and a larger piston. Explain how a hydraulic machine multiplies force? What happens to th
Tanya [424]

Answer:

Explanation:

Pressure is equal to the force divided by the area on which it acts. Since the smaller piston has less area so from less force also we can get more efficiency in work. And according to the Pascal's principle, in a hydraulic system, pressure exerted on a piston produces an equal increase in pressure on another piston in the system. Thus by applying little force in the smaller piston, we can get same force from larger piston too. A hydraulic machine magnifies force.

6 0
2 years ago
Which statement about covalent bonds is true
g100num [7]
In covalent bonds the atoms share electrons.
7 0
2 years ago
Read 2 more answers
What is the acceleration of the object in the graph?
viktelen [127]

Answer:

-0.8 m/s²

Explanation:

Acceleration is the slope of a velocity vs. time graph.

a = Δv / Δt

a = (0 m/s − 12 m/s) / (15 s − 0 s)

a = -0.8 m/s²

3 0
2 years ago
What is the main function of the spongy bone'
storchak [24]
Oooooo there's a spongy bone? that's cool! Lol okay okay, I will research it and help you out. 

Here's what I found:

Cancellous bone<span>, also known as </span>spongy<span> or </span>trabecular bone<span>, is one of the </span>two<span> types of </span>bone<span> tissue found in the human body. ... It is very porous and contains red </span>bone<span>marrow, where blood cells are made.</span>
7 0
3 years ago
Read 2 more answers
Below is an oscilloscope trace from an AC supply. Calculate the frequency of the supply if each horizontal division represents 0
GuDViN [60]

Answer:

20 hertz of frequency produced.

Explanation:

\boxed{frequency = \frac{1}{period} }

Here we will find frequency and period should be in second, here given: 0.05 seconds

using the formula:

\boxed{frequency = \frac{1}{0.05} }

\boxed{frequency =20}

8 0
2 years ago
Other questions:
  • Help plz I don't understand ​
    5·1 answer
  • Two protons are 0.00500 m apart. Find the force between them.
    8·1 answer
  • How do you identify the zero reference position for calculating mechanical potential energy? What is the most common zero refere
    8·1 answer
  • A wave with a frequency of 500 Hz is traveling at a speed of 200 m/s. What is the wavelength ?
    12·1 answer
  • Would an astronauts mass change as she traveled from planet to planet? Explain.
    15·1 answer
  • What does the object on the screen below model?
    11·2 answers
  • You move a 4 N object 10 meters. Find work
    5·1 answer
  • Identify the procedure to determine a formula for self-inductance, or inductance for short. Using the formula derived in the tex
    13·1 answer
  • 44. Belly-flop Bernie dives from atop a tall flagpole into a swimming pool below. His potential energy at the top is 10,000 J (r
    10·1 answer
  • What is electric charge ?​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!