The approximation
sinθ≈θ is used to derive the simple pendulum frequency formula.
Calculate the percent difference between
θ
and
sinθ for the following angles: 30.0°, 10.0°, 1.00°,
0.100°. Does the approximation hold for small angles?
(Remember to use radians!)
Homework Answers
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The approximation
sinθ≈θ is used to derive the simple pendulum frequency formula.
Calculate the percent difference...
Pendulum. We discussed in class the equation of motion for the simple pendulum: . Here m...
Pendulum. We discussed in class the equation of motion for the simple pendulum: . Here m is the mass of the bob, is the length of the arm, and is the acceleration of gravity, and is the angle of the arm from away from the vertical. The total energy of the pendulum is a sum of the kinetic and potential terms: a. Draw a picture of the pendulum that shows all of the parameters. b. Show that the equation...
When angles are small |0| < 10° we often make the small angle approximation that sin Orad ñ Orad, where Orad is the...
When angles are small |0| < 10° we often make the small angle approximation that sin Orad ñ Orad, where Orad is the angle measured in radians. Often, this approximation allows us to determine stability, or to more easily interpret solutions for these small angles; for example, the small angle approximation is what allows us to approximate the simple pendulum as a simple harmonic oscillator. Compute the difference sin Orad – Orad for the following angles: a) Odeg = 0°,...
Find the frequency for small oscillations of a flat pendulum formed by a rod of negligible...
Find the frequency for small oscillations of a flat pendulum
formed by a rod of negligible mass, with one end fixed and the
other end attached to a sphere of radius
and mass
.
We were unable to transcribe this imageWe were unable to transcribe this image
2. A simple pendulum with length satisfies the equation a) If 0 is the amplitude of...
2. A simple pendulum with length satisfies the equation
a) If 0 is the amplitude of the oscillation, show that its
period T is given by
where
and
.
We were unable to transcribe this image9 S2n π/2 do T= asin 6 woJo V We were unable to transcribe this image0 Syク 2. A simple pendulum with length ( satisfies the equation (a) If θ0 is the amplitude of the oscillation, show that its period T is given by 1...
Calculate G, A, and Suniv for each of the following processes and state any approximation made: ...
Calculate G, A,
and Suniv
for each of the following processes and state any approximation
made:
a) reversible melting of 36.0 g of ice at 0oC and 1
atm
b) reversible vaporization of 39 g of C6H6 at
its normal boiling point of 80.1oC and 1 atm
c) adiabatic expansion of 0.100 mol of a perfect gas into vacuum
with initial temperature of 300 K, initial volume of 2.00 L, and
final volume of 6.00 L
Densities of liquid and...
please answer all prelab questions, 1-4. This is the prelab manual, just in case you need...
please answer all prelab questions, 1-4.
This is the prelab manual, just in case you need background
information to answer the questions. The prelab questions are in
the 3rd photo.
this where we put in the answers, just to give you an
idea.
Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...
Calculate the pH expected for the 0.0100 M HCl solution used in part A. I'm so...
Calculate the pH expected for the 0.0100 M HCl solution
used in part A.
I'm so lost please help
Intermediate value Final value 1a. Calculate the pH expected for the 0.0100 M HCl solution used in part A. 1b. Calculate the percent error between the expected pH and your measured pH of the 0.0100 M HCI. our To ☺ QUESTION 2 Intermediate value Final value 2a. Calculate the pH of 0.100 M CH3COOH (approximation method). Kg = 1.8 x 10-5...
Draw a structural formula of the R configuration of the compound shown below. The energy difference...
Draw a structural formula of the R configuration of the compound
shown below.
The energy difference is kJ/mol.
In the more stable chair:
The vinyl(ethenyl) group is in the
_________axial,equatorial,both position.
The methyl group is in the
_________axial,equatorial,both position.
At 25°C the equilibrium percent of the more stable chair
conformation is approximately
_____60,65,70,75,80,85,90,95,>95.
Answers:
The energy difference is kJ/mol.
In the more stable chair:
The chloro group is in the
_________axialequatorialboth position.
The methyl group is in the
_________axial,equatorial,both, position.
At 25°C...
the list of equations to list are attached! thanks! 6. A playground merry-go-round, i.e., a horizontal...
the list of equations to list are attached! thanks!
6. A playground merry-go-round, i.e., a horizontal disc of radius 3 m that can rotate about a vertical axis through its center, is rotating at an angular speed 1/s (measured, as usual, in terms of radians). The moment of inertia of the merry-go-round with respect to that axis is 3000 kg m? A student of mass 80 kg is standing at the center of the merry-go-round. The student now walks outward...
of contldence, the 00 of the 200 UCLA university professors oppose the US policies in Middle...
of contldence, the 00 of the 200 UCLA university professors oppose the US policies in Middle East. Using the 0.95 degree interval estimates for the population proportion is a, 50% to 57%. 45% to 55% d. none of the above. A Rutgers University professor claims that there is no significant difference between proportion of female (1) and male collects data students (m) of the university who exercise at least 15 minutes a day. What would be a proper conclusion if...
When angles are small |0| < 10° we often make the small angle approximation that sin Orad ñ Orad, where Orad is the angle measured in radians. Often, this approximation allows us to determine stability, or to more easily interpret solutions for these small angles; for example, the small angle approximation is what allows us to approximate the simple pendulum as a simple harmonic oscillator. Compute the difference sin Orad – Orad for the following angles: a) Odeg = 0°,...
Find the frequency for small oscillations of a flat pendulum
formed by a rod of negligible mass, with one end fixed and the
other end attached to a sphere of radius
and mass
.
We were unable to transcribe this imageWe were unable to transcribe this image
2. A simple pendulum with length satisfies the equation
a) If 0 is the amplitude of the oscillation, show that its
period T is given by
where
and
.
We were unable to transcribe this image9 S2n π/2 do T= asin 6 woJo V We were unable to transcribe this image0 Syク 2. A simple pendulum with length ( satisfies the equation (a) If θ0 is the amplitude of the oscillation, show that its period T is given by 1...
Calculate G, A,
and Suniv
for each of the following processes and state any approximation
made:
a) reversible melting of 36.0 g of ice at 0oC and 1
atm
b) reversible vaporization of 39 g of C6H6 at
its normal boiling point of 80.1oC and 1 atm
c) adiabatic expansion of 0.100 mol of a perfect gas into vacuum
with initial temperature of 300 K, initial volume of 2.00 L, and
final volume of 6.00 L
Densities of liquid and...
please answer all prelab questions, 1-4.
This is the prelab manual, just in case you need background
information to answer the questions. The prelab questions are in
the 3rd photo.
this where we put in the answers, just to give you an
idea.
Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...
Calculate the pH expected for the 0.0100 M HCl solution
used in part A.
I'm so lost please help
Intermediate value Final value 1a. Calculate the pH expected for the 0.0100 M HCl solution used in part A. 1b. Calculate the percent error between the expected pH and your measured pH of the 0.0100 M HCI. our To ☺ QUESTION 2 Intermediate value Final value 2a. Calculate the pH of 0.100 M CH3COOH (approximation method). Kg = 1.8 x 10-5...
Draw a structural formula of the R configuration of the compound
shown below.
The energy difference is kJ/mol.
In the more stable chair:
The vinyl(ethenyl) group is in the
_________axial,equatorial,both position.
The methyl group is in the
_________axial,equatorial,both position.
At 25°C the equilibrium percent of the more stable chair
conformation is approximately
_____60,65,70,75,80,85,90,95,>95.
Answers:
The energy difference is kJ/mol.
In the more stable chair:
The chloro group is in the
_________axialequatorialboth position.
The methyl group is in the
_________axial,equatorial,both, position.
At 25°C...
the list of equations to list are attached! thanks!
6. A playground merry-go-round, i.e., a horizontal disc of radius 3 m that can rotate about a vertical axis through its center, is rotating at an angular speed 1/s (measured, as usual, in terms of radians). The moment of inertia of the merry-go-round with respect to that axis is 3000 kg m? A student of mass 80 kg is standing at the center of the merry-go-round. The student now walks outward...
of contldence, the 00 of the 200 UCLA university professors oppose the US policies in Middle East. Using the 0.95 degree interval estimates for the population proportion is a, 50% to 57%. 45% to 55% d. none of the above. A Rutgers University professor claims that there is no significant difference between proportion of female (1) and male collects data students (m) of the university who exercise at least 15 minutes a day. What would be a proper conclusion if...
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