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
tangare [24]
3 years ago
6

Part complete How long must a simple pendulum be if it is to make exactly one swing per five seconds?

Physics
1 answer:
shtirl [24]3 years ago
3 0

Answer:

L=6.21m

Explanation:

For the simple pendulum problem we need to remember that:

\frac{d^{2}\theta}{dt^{2}}+\frac{g}{L}sin(\theta)=0,

where \theta is the angular position, t is time, g is the gravity, and L is the length of the pendulum. We also need to remember that there is a relationship between the angular frequency and the length of the pendulum:

\omega^{2}=\frac{g}{L},

where \omega is the angular frequency.

There is also an equation that relates the oscillation period and the angular frequeny:

\omega=\frac{2\pi}{T},

where T is the oscillation period. Now, we can easily solve for L:

(\frac{2\pi}{T})^{2}=\frac{g}{L}\\\\L=g(\frac{T}{2\pi})^{2}\\\\L=9.8(\frac{5}{2\pi})^{2}\\\\L=6.21m

You might be interested in
What causes the second high tide in the day?
steposvetlana [31]

Answer:

This rotation generates a centrifugal force, which on the Earth is strongest at locations facing away from the Moon. This in turn causes the sea level in these locations to rise up, forming the second high tide during the course of a day.

Explanation:

5 0
3 years ago
A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 12.9 rad/s in 2.98 s.
PtichkaEL [24]

Explanation:

(a) Find the magnitude of the angular acceleration of the wheel.

  • angular acceleration = angular speed /time
  • angular acceleration = 12.9/2.98 = 4.329rad/s²

(b) Find the angle in radians through which it rotates in this time interval.

  • angular speed = 2x3.14xf
  • 12.9rad = 2 x3.14

  • rad = 6.28/12.9
  • rad = 0.487

Now we convert rad to angle

  • 1 rad = 57.296°
  • 0.487 = unknown angle
  • unknown angle =57.296 x 0.487 = 27.9°

The angle in radians = 27.9°

8 0
3 years ago
HELP ASAP HELP Two tennis balls of the same mass are served at different speeds: 30 m/s and 60 m/s. Which serve has more kinetic
inna [77]

Answer:

<em>The second ball has four times as much kinetic energy as the first ball.</em>

Explanation:

<u>Kinetic Energy </u>

Is the type of energy an object has due to its state of motion. It's proportional to the square of the speed.

The equation for the kinetic energy is:

\displaystyle K=\frac{1}{2}mv^2

Where:

m = mass of the object

v = speed at which the object moves

The kinetic energy is expressed in Joules (J)

Two tennis balls have the same mass m and are served at speeds v1=30 m/s and v2=60 m/s.

The kinetic energy of the first ball is:

\displaystyle K_1=\frac{1}{2}m\cdot 30^2

\displaystyle K_1=\frac{1}{2}m\cdot 900

K_1=450m

The kinetic energy of the second ball is:

\displaystyle K_2=\frac{1}{2}m\cdot 60^2

\displaystyle K_2=\frac{1}{2}m\cdot 3600

K_2=1800m

Being m the same for both balls, the second ball has more kinetic energy than the first ball.

To find out how much, we find the ratio:

\displaystyle \frac{K_2}{K_1}=\frac{1800m}{450m}

Simplifying:

\displaystyle \frac{K_2}{K_1}=4

The second ball has four times as much kinetic energy as the first ball.

5 0
3 years ago
Read 2 more answers
Can you please answer this??
Damm [24]

Answer:

the metal

Explanation:

i think the metal will go down faster because there is least amount of friction than the carpet and wood

hope this helped

5 0
3 years ago
Read 2 more answers
Change the following sentences into Passive Voice: (5M)
geniusboy [140]

Answer:

passive voice

many messengers all over the world was sent by emperor Ashoka to preach Buddhism.

Which pen was liked by you?

Has your passport size photo been taken for the application form?

A beautiful bicycle was given to me on my birthday by my father.

The plants is being watered by the gardener.

Paul said that he will never leave you and he will always be with you.

7 0
3 years ago
Other questions:
  • A visible light emits light with a wavelength of 4.00x10^-7m.
    7·1 answer
  • A wave of sound proceeds through the auditory canal to the inner ear where receptor neurons on the basilar membrane are stimulat
    6·1 answer
  • What is the term for movement in a particular direction
    13·1 answer
  • What type of wave is created when banging a drum
    13·2 answers
  • Asteroid Toutatis passed near Earth in 2006 at four times the distance to our Moon. This was the closest approach we will have u
    11·1 answer
  • A tennis ball is dropped from 1.15 m above the ground. It rebounds to a height of 0.993 m.
    14·1 answer
  • You decide to visit Santa Claus at the north pole to put in a good word about your splendid behavior throughout the year. While
    11·1 answer
  • A fly ball was caught by the third baseman and thrown to first base at a speed
    8·1 answer
  • The frequency of a simple pendulum that makes 120 complete oscillations in 3 minutes is:
    12·1 answer
  • What is most likely to result immediately after a rainforest in Brazil is clear-cut?secondary succession
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!