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
Elanso [62]
3 years ago
6

The suspension system of a 1700 kg automobile "sags" 7.7 cm when the chassis is placed on it. Also, the oscillation amplitude de

creases by 37% each cycle. Estimate the values of
a. The spring constant k.
b. The damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 425 kg.
Physics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

the spring constant k = 5.409*10^4 \ N/m

the value for the damping constant \\ \\b = 1.518 *10^3 \ kg/s

Explanation:

From Hooke's Law

F = kx\\\\k =\frac{F}{x}\\\\where \ F = mg\\\\k = \frac{mg}{x}\\\\given \ that:\\\\mass \ of \ each \ wheel = 425 \ kg\\\\x = 7.7cm = 0.077 m\\\\g = 9.8 \ m/s^2\\\\Then;\\\\k = \frac{425 \ kg * 9.8 \ m/s^2}{0.077 \ m}\\\\k = 5.409*10^4 \ N/m

Thus; the spring constant k = 5.409*10^4 \ N/m

The amplitude is decreasing 37% during one period of the motion

e^{\frac{-bT}{2m}}= \frac{37}{100}\\\\e^{\frac{-bT}{2m}}= 0.37\\\\\frac{-bT}{2m} = In(0.37)\\\\\frac{-bT}{2m} = -0.9943\\\\b = \frac{2m(0.9943)}{T}\\\\b = \frac{2m(0.9943)}{\frac{2 \pi}{\omega}}\\\\b = \frac{m(0.9943) \ ( \omega) )}{ \pi}

b = \frac{m(0.9943)(\sqrt{\frac{k}{m})}}{\pi}\\\\b = \frac{425*(0.9943)(\sqrt{\frac{5.409*10^4}{425}) }    }{3.14}\\\\b = 1518.24 \ kg/s\\\\b = 1.518 *10^3 \ kg/s

Therefore; the value for the damping constant \\ \\b = 1.518 *10^3 \ kg/s

You might be interested in
If a lever has an input arm of 80 cm and an output arm of 20 cm, what is its ideal mechanical advantage?
Alexeev081 [22]

Answer:

16

Explanation:

6 0
2 years ago
What is an astronomer? Answer in the simpliest way please.
Sphinxa [80]
They would be an expert in astronomy
astronomy:the branch of science that deals with celestial objects
8 0
3 years ago
What type of plant tissue is NOT part of the vascular bundle?
jek_recluse [69]

Answer:

Cortex

Explanation:

3 0
3 years ago
Read 2 more answers
Is directly proportional to the length and resistivity of the conductor.
aliya0001 [1]

Answer:

B) resistance

Explanation:

the resistance of a wire is proportional to its length, and inversely proportional to its cross-sectional area.

8 0
3 years ago
Read 2 more answers
two masses are separated by 1 m. suppose the masses are moved so they are 2 m apart how will the gravitational force change
Verdich [7]
The gravitational force would get stronger because the farther the two masses are separated the more gravitational force will be used to pull them together the closer they are the less gravitational pull is used to pull them together
5 0
3 years ago
Other questions:
  • A thermometer is placed in water in order to measure the water’s temperature. What would cause the liquid in the thermometer to
    13·2 answers
  • A temperature of 34 fereheight is equal to blank kelvin
    12·2 answers
  • A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains
    9·1 answer
  • How is using a digital signal like turning on and off a regular light<br> switch?
    5·1 answer
  • A runner traveled 7.7 miles an hour and a half what was their average speed
    11·1 answer
  • A magnetic field is created by ____.
    6·1 answer
  • Which describes the relationship between the frequency wavelength, and speed of a wave as the wave travels through
    9·1 answer
  • Rate of work done against water resistant? Can someone explain why its 3.0W? Thanks.
    11·1 answer
  • Pls help i’ll give brainliest if you give a correct answer!!
    15·2 answers
  • A motorcycle is traveling along a highway at 29 m/s. How far does the motorcycle travel in 18 s?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!