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
lesya [120]
3 years ago
14

Two different simple harmonic oscillators have the same natural frequency (f=8.80 Hz) when they are on the surface of the Earth.

The first oscillator is a vertical spring and mass, the second is a pendulum. If both systems are moved to the surface of the moon (g=1.67 m/s2), what is the new frequency of the vertical spring and mass?
Physics
1 answer:
bekas [8.4K]3 years ago
3 0

Answer:

8.80 Hz

Explanation:

The frequency of a loaded spring is given by

f=\dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}}

where k and m are the spring constant and the mass of the load respectively. The values of these do not change because they are internal properties of the components of the system.

Hence, the frequency of the vertical spring mass does not change and is 8.80 Hz.

On the other hand, the frequency of the simple pendulum is affected because it is given by

\dfrac{1}{2\pi}\sqrt{\dfrac{g}{l}}

where g and l are acceleration due to gravity and length of the pendulum, respectively. It is thus seen that it depends on g, which changes with location. In fact, the new frequency is given by

f_2 = 8.80\sqrt{\dfrac{1.67}{9.81}}=3.63 \text{ Hz}

You might be interested in
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A
Flura [38]

Answer:

The mass of the wheel is 2159.045 kg

Explanation:

Given:

Radius r = 0.330

m

Force F = 290 N

Angular acceleration \alpha  = 0.814 \frac{rad}{s^{2} }

From the formula of torque,

 Γ = I\alpha                                        (1)

 Γ = rF                                       (2)

rF = I \alpha

Find momentum of inertia I from above equation,

I = \frac{rF}{\alpha }

I = \frac{0.330 \times 290}{0.814}

I = 117.56 Kg. m^{2}

Find the momentum inertia of disk,

 I = \frac{1}{2}  Mr^{2}

M = \frac{2I}{r^{2} }

M = \frac{2 \times 117.56}{(0.330)^{2} }

M = 2159.045 Kg

Therefore, the mass of the wheel is 2159.045 kg

8 0
3 years ago
Which statement describes the relationship between the rate of reaction and the temperature?
patriot [66]

PM me the statements, and i'll answer it then.

7 0
3 years ago
Use this free body diagram to help you find the magnitude of the force F1 needed to keep this block in static equilibrium 15.3 N
bija089 [108]

Do you have a picture of the diagram?

5 0
3 years ago
MOST elements on the periodic table are
lidiya [134]

Answer:

B

Explanation:

6 0
3 years ago
Read 2 more answers
Which statement below best describes the relationship between the voltage, resistance, and current?
aliina [53]

Answer:

As voltage increases, current increases and resistance stays the same .

Explanation:

Ohm's law gives the relationship between the voltage, resistance, and current. The mathematical form of Ohm's law is given by :

V\propto I\\\\V=IR

R is resistance

I is current

V is voltage

So, as voltage increases, current increases and resistance stays the same. The correct option is (A).

4 0
3 years ago
Other questions:
  • A) Find the wavelength of an electromagnetic wave with frequency 9.35 GHz = 9.35 109 Hz (G = giga = 109), which is in the microw
    9·1 answer
  • Do you know when the next full moon will beç
    13·1 answer
  • To study the dependant variable, a scientist must A. manipulate the independent variable B. have more than one control group C.
    11·1 answer
  • In a transverse wave, the motion of the disturbance is in what direction relative to the wave motion? opposite parallel perpendi
    11·2 answers
  • How is the ideal mechanical advantage of a wheel and axle calculated?
    13·2 answers
  • Explain why Pluto has been re-categorized as a dwarf planet.
    5·1 answer
  • Gravitational force between two objects depends on
    10·2 answers
  • What type of material can charges move through easily?
    7·1 answer
  • Is the formula for velocity the same as speed or different?
    11·1 answer
  • photon strikes the surface of tungsten and an electron is emitted. what is the maximum possible speed of the electron?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!