Question
In: Physics
How to slove: Simple Harmonic Motion Amplitude = 10ᵒ m = 100.0 g Length =...
How to slove: Simple Harmonic Motion
| Amplitude = 10ᵒ | m = 100.0 g | |||||||||||||
| Length = | 1.000 m | 0.850 m | 0.700 m | 0.550 m | 0.400 m | 0.250 m | 0.100 m | |||||||
| Trial | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) |
| 1 | ||||||||||||||
| 2 | ||||||||||||||
| 3 | ||||||||||||||
| 4 | ||||||||||||||
| 5 | ||||||||||||||
| Average: | ||||||||||||||
Solutions
Expert Solution
We have plotted scatter graph of Period square 
vs. Length of string 
and its linear best-fit line. The Y-values represent the period
square
and X-values represent the length of string
.
The linear best-fit line equation is:
The slope 
of the best-fit line equation is:
The Y-intercept 
of the best-fit line equation is:
Therefore, the best-fit line equation is:
We know that the period of the pendulum is expressed as:
Equating equation (1) and (2) gives the slope of the linear
best-fit line is equal to term 
.
Therefore, the experimental value of the gravitational
acceleration is 
.
The percentage difference between experimental value of the
gravitational acceleration
and theoretical value of the gravitational acceleration 
is calculated as:
genius_generous answered 3 years agoRelated Solutions
1. a 10 g particle is undergoing simple harmonic motion with an amplitude of 2.0X10^-3 m...
1.
a 10 g particle is undergoing simple harmonic motion with an
amplitude of 2.0X10^-3 m and a maximum acceleration of magnitude
8.0X10^3 m/s^2. The phase constant is
particle is in simple harmonic motion along the x axis. The amplitude of the motion is...
particle is in simple harmonic motion along the x axis. The
amplitude of the motion is xm.
When it is at x = x1, its kinetic energy is K = 5 J and its
potential energy (measured with
U = 0 at x = 0) is U = 3 J. When it is at x = −1
2x1, the kinetic and potential energies are:
A. K = 5 J and U = 3J
B. K = 5 J and U...
A bolt of mass 2.08×10?2 kg moves with simple harmonic motion that has an amplitude of...
A bolt of mass 2.08×10?2 kg moves with simple harmonic motion
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displacement of the bolt is 0.243 m when t = 0.
(a) Find the displacement of the bolt at time t = 0.508 s.
(b) Find the magnitude of the force acting on the bolt at time t
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(c) What is the minimum time required for the bolt to move from its...
Two particles oscillate in simple harmonic motion along a common straight-line segment of length 0.73 m....
Two particles oscillate in simple harmonic motion along a common
straight-line segment of length 0.73 m. Each particle has a period
of 3.8 s, but they differ in phase by π/8 rad. (a)
How far apart are they 1.2 s after the lagging particle leaves one
end of the path? (b) Are they then moving in the
same direction, toward each other, or away from each other?
A 323 g object is attached to a spring and executes simple harmonic motion with a...
A 323 g object is attached to a spring and executes simple
harmonic motion with a period of 0.210 s. If the total energy of
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(a) Find the maximum speed of the object.
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(b) Find the force constant of the spring.
N/m
(c) Find the amplitude of the motion.
mA 323 g object is attached to a spring and executes simple
harmonic motion with a period of 0.210 s. If the total energy of...
A 318 g object is attached to a spring and executes simple harmonic motion with a...
A 318 g object is attached to a spring and executes simple
harmonic motion with a period of 0.270 s. If the total energy of
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(a) Find the maximum speed of the object. (------m/s ?)
(b) Find the force constant of the spring. (--------N/m ?)
(c) Find the amplitude of the motion. (------- m ?)
Write a discussion and conclusion for simple harmonic motion.
Write a discussion and conclusion for simple harmonic motion.
Which of the following statements are correct? A. All oscillatory motion is Simple Harmonic Motion. B....
Which of the following statements are correct?
A. All oscillatory motion is Simple Harmonic Motion.
B. Simple Harmonic motion is a special case of oscillatory
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C. Oscillatory motion is a special case of Simple Harmonic
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D. Oscillatory motion cannot be Simple Harmonic motion
Which of the following statements is correct?
A. In simple harmonic motion, kinetic energy is constant.
B. In simple harmonic motion, potential energy is constant.
C. In simple harmonic motion, the sum of kinetic and...
An object is excuting simple harmonic motion. Which is a true statement regarding its motion? a....
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b. its acceleration is never zero
c. its velocity and accelertation are simultaneously zero
d. its velocity is zero when tis acceleration is a maximum
e. its acceleration is maximum when its velocity is maximum
1) How do we know that an object performs a simple harmonic motion? 2) Is the...
1) How do we know that an object performs a simple harmonic
motion?
2) Is the movement of a pendulum a simple harmonic movement?
Explain
3) Are there other types of pendulums that perform a MAS? Explain
each
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