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
forsale [732]
3 years ago
6

A mass weighting 48 lbs stretches a spring 6 inches. The mass is in a medium that exerts a viscous resistance of 27 lbs when the

mass has a velocity of 6 ft/sec. Suppose the object is displaced an additional 6 inches and released.
Required:
a. Find an equation for the object's displacement, u(t), in feet after t seconds.
b. What is the mass of the object?
c. What is the damping coefficient?
d. What is the spring constant?
Physics
1 answer:
Mademuasel [1]3 years ago
8 0

Answer:

a)

u(t)=0.499ft.e^{-\frac{144.76lb/s}{2(48lb)}t}cos(\omega t)\\\\u(t)=0.499ft.e^{-1.5t}cos(\omega t)

b)

m = 48lb

c)

b = 144.76lb

Explanation:

The general equation of a damping oscillate motion is given by:

u(t)=u_oe^{-\frac{b}{2m}t}cos(\omega t-\alpha)    (1)

uo: initial position

m: mass of the block

b: damping coefficient

w: angular frequency

α: initial phase

a. With the information given in the statement you replace the values of the parameters in (1). But first, you calculate the constant b by using the information about the viscous resistance force:

|F_{vis}|=bv\\\\b=\frac{|F_{vis}|}{v}\\\\|F_{vis}|=27lbs=27*32.17ft.lb/s^2=868.59ft.lb/s^2\\\\b=\frac{868.59}{6}lb/s=144.76lb/s

Then, you obtain by replacing in (1):

6in = 0.499 ft

u(t)=0.499ft.e^{-\frac{144.76lb/s}{2(48lb)}t}cos(\omega t)\\\\u(t)=0.499ft.e^{-1.5t}cos(\omega t)

b.

mass, m = 48lb

c.

b = 144.76 lb/s

You might be interested in
give an example of one living and one non-living thing that uses the force of buoyancy to function. explain how they work.
zaharov [31]

Answer:

the biotic one is a human in water and they flaot because of the air in our lungs and the abiotic one is a swimming buoys are filled with foam and foam floats

Explanation:

...

4 0
1 year ago
Read 2 more answers
A.
V125BC [204]

Answer:

All the planets orbit the Sun in nearly the same plane.

7 0
3 years ago
For a short time the missile moves along the parabolic path y=(18−2x2) km. If motion along the ground is measured as x=(4t−3) km
muminat

Answer with Explanation:

We are given that

y=(18-2x^2) km

x=(4t-3)km

Differentiate x and y w.r.t t

\frac{dx}{dt}=4

\frac{dy}{dt}=-4x\frac{dx}{dt}

\frac{dy}{dt}=-4x\times 4=-16x=-16(4t-3)

v_x=\frac{dx}{dt}=4

v_y=\frac{dy}{dt}=-16(4t-3)

Substitute t=1

v_x=4

v_y=-16(4-3)=-16

Magnitude of velocity=\mid v\mid=\sqrt{v^2_x+v^2_y}

\mid v\mid=\sqrt{4^2+(-16)^2}=16.49 m/s

Hence, the magnitude of the missile's velocity=16.49 m/s

a_x=\frac{d(\frac{dx}{dt})}{dt}=\frac{d(4)}{dt}=0

a_y=\frac{d(\frac{dy}{dt})}{dt}=\frac{d(-16(4t-3))}{dt}=-64

Substitute t=1

a_x=0,a_y=-64

\mid a\mid=\sqrt{a^2_x+a^2_y}

\mid a\mid=\sqrt{0+(-64)^2}=64m/s^2

Hence, the magnitude of acceleration when t=1 s=64m/s^2

3 0
3 years ago
In a sound wave, the wavelength is equivalent to the distance from a region of high pressure to the region of mean
Alex
F!!! that is false.
4 0
3 years ago
The slope of the line on a speed-time graph tells the speed.
iren2701 [21]

From the choices provided, the better answer is ' T ' .

8 0
3 years ago
Other questions:
  • Physics multiple choice
    11·2 answers
  • an object which has a mass of 70 kg is sitting on a cliff 10 m high calculate the objects gravitational potential energy given g
    7·1 answer
  • How do you calculate the speed of a wave?
    14·2 answers
  • A. What is the basic building block of matter?
    12·2 answers
  • Which of the following is a conversion from light energy to chemical energy?
    15·2 answers
  • A gorilla drags a log across the jungle floor. The log begins at rest and accelerates at until the gorilla is moving at a fast l
    15·1 answer
  • HELP MEEE
    11·1 answer
  • In a parallel circuit, there is only one path for current to take. Please select the best answer from the choices provided T F
    9·1 answer
  • How Many displacement vectors shown in the figure above have horizontal components
    9·1 answer
  • What is the thinnest soap film (excluding the case of zero thickness) that appears black when illuminated with light with a wave
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!