A girl with a mass of 40 kg is swinging from a rope with a length of 2.5 m. What is the frequency of her swinging?

Answers

Answer 1

Answer:
For a pendulum with a massless rope 'L' meters long, swinging through
a small arc, the period of the swing is

2 π √(L/g) seconds .

and it doesn't depend on the mass of the thing on the end of the rope ...
that could be a pebble or a bus.

For the girl on the 2.5-m rope,

Period = (2 π) √(2.5 / 9.8) = 3.17 seconds

Frequency = 1 / period = about 0.315 Hz .

Answer 2

Answer:

If a girl with a mass of 40 kg is swinging from a rope with a length of 2.5 m , then the frequency of her swinging is 0.32 Hz

Further explanation

Simple Harmonic Motion is a motion where the magnitude of acceleration is directly proportional to the magnitude of the displacement but in the opposite direction.

The pulled and then released spring is one of the examples of Simple Harmonic Motion. We can use the following formula to find the period of this spring.

$\large { \boxed {T = 2 \pi\sqrt{(m)/(k)} } }$

T = Periode of Spring ( second )

m = Load Mass ( kg )

k = Spring Constant ( N / m )

The pendulum which moves back and forth is also an example of Simple Harmonic Motion. We can use the following formula to find the period of this pendulum.

$\large { \boxed {T = 2 \pi\sqrt{(L)/(g)} } }$

T = Periode of Pendulum ( second )

L = Length of Pendulum ( kg )

g = Gravitational Acceleration ( m/s² )

Let us now tackle the problem !

Given:

Mass of A Girl = m = 40 kg

Length of Rope = L = 2.5 m

Gravitational Acceleration = g = 10 m/s²

Unknown:

Frequency of Swinging = f = ?

Solution:

Recall the formula for calculating period as mentioned above.

$T = 2 \pi\sqrt{(L)/(g)}$

$T = 2 \pi\sqrt{(2.5)/(10)}$

$T = 2 \pi\sqrt{(1)/(4)}$

$T = 2 \pi (1)/(2)$

$T = \pi ~ seconds$

$T \approx 3.1 ~ seconds$

Finally, we can calculate the magnitude of frequency with the following formula.

$f = (1)/(T)$

$f = (1)/(\pi) ~ Hz$

$f \approx 0.32 ~ Hz$

Learn more

Model for Simple Harmonic Motion : brainly.com/question/9221526
Force of Simple Harmonic Motion : brainly.com/question/3323600
Example of Simple Harmonic Motion : brainly.com/question/11892568

Answer details

Grade: High School

Subject: Physics

Chapter: Simple Harmonic Motion

Keywords: Simple , Harmonic , Motion , Pendulum , Spring , Period , Frequency

Related Questions

Four landing sites are proposed for a lander. Data about the sites are listed in the table.A 3 column table with 4 rows. The first column is labeled landing site with entries W, X, Y, Z. The second column is labeled height above surface in meters with entries 32, 16, 35, 12. The last column is labeled acceleration due to gravity in meters per second squared with entries 1.6, 3.7, 1.6, 3.7. At which landing site would the lander have the greatest amount of gravitational potential energy? A. W B. X C. Y D. Z
Briefly summarize how the pulleys worked with respect to changes in effort force and effort distance compared with resistance force and resistance distance what are the advantages of using pulleys what do you think would happen to the mechanical advantage if you needed a third movable pulley
A 1500 kg car drives around a flat 200-m-diameter circular track at 25m/s. What are the magnitude and direction of the net force on the car? What causes this force?
Which statement is true about the scientific method?A. It follows one prescribed sequence of steps.B. It begins and ends with an experiment.C. It is used only in Earth and space science.D. It can be cyclic.I need an answer now please....
You're conducting a physics experiment on another planet. You drop a rock from a height of 1 m and it hits the ground 0.4 seconds later. What is the acceleration due to gravity on this planet?

What kind of energy does a rubber band have when it is stretched? a. elastic potential energy

b. gravitational potential energy

c. kinetic energy

d. chemical energy

Answers

Elastic potential energy. When you stretch a rubber band it has the "potential" to do work, to fly in a given direction. In doing so it changes it's elastic potential energy to kinetic energy.

Answer:

elastic potential energy

Explanation:

___________is a highly reactive chemical species with one or more unpaired electrons

Answers

Explanation:

A specie with no charge and containing one or more number of unpaired electrons is known as a free radical.

These free radicals tend to attain stable configuration by gaining an electron from another atom. Hence, they fill their outer energy levels.

For example, a free radical of chlorine will readily combine with a hydrogen atom in order to attain stability and it leads to the formation of a new chemical bond between the hydrogen and chlorine atom.

As a result, it will form a hydrogen free radical.

Thus, we can conclude that free radical is a highly reactive chemical species with one or more unpaired electrons.

Final answer:

A free radical is a highly reactive chemical species with one or more unpaired electrons. They actively participate in chemical reactions due to their need to complete their electron shell. These radicals can be both harmful and beneficial, depending on their context.

Explanation:

A free radical is a highly reactive chemical species with one or more unpaired electrons. These species are reactive because they seek to complete their electron shell by forming pairs, making them eager to engage in chemical reactions.

For instance, in combustion processes, free radicals like hydroxyl (OH) play a crucial role. Despite their reputation for causing damage in biological systems, free radicals are also beneficial as they are used by the immune system to neutralize pathogens.

Learn more about Free Radicals here:

brainly.com/question/34681981

#SPJ3

A car starts from a stopped position and speeds up to 60 m/s in 4.4 seconds. How quickly is it accelerating?

Answers

Answer:

Vf=60m/s

Vi=0 because it starts from rest

t=4.4s

a=?

a=Vf-Vi/t

a=60-0/4.4

a=60/4.4

a=13.63m/s^2

Answer:

13.636364 m/s2

The refractive index of water is greater than that of air but is less than that of glass or a diamond. Under which condition can there be total internal reflection in water?

Answers

For total internal reflection to happen, light must travel from a medium object of higher density to a medium of lower density. To make sure that total internal reflection will happen in water, then the light must originate from glass or diamond before entering water.

Answer:

C.When light travels from water to air

Explanation:

Plato user

A hard material is easily scratched. True False

Answers

False. Hard material an only be scratched by a material of equal or greater hardness

A 6kg object has 350j of kinetic energy. find the velocity of the object?

Answers

We have no information describing the direction in which
the object is moving, so we're in no position to discuss its
velocity.   ==> We have only speed to work with.

      Kinetic energy = (1/2) (mass) (speed²)

   (350 J) = (1/2) (6 kg) (speed²)

Divide each side by 3 kg : (350J / 3 kg) = (speed²)

Take the square root of each side: Speed = 10.8 m/s (rounded)

Units (for the curious/inquisitive):

[Energy] = [work] = [force] x [distance]

   = [mass-distance/time²] x [distance]

   = [ kg-meter / sec² ] x [ meter ]

   = [ kg-meter² / sec² ] = Joule

Energy / mass = Joule/kg = [ meter² / sec² ] = (speed²)

Other Questions

How is the horizontal component of velocity for a projectile affected by the vertical component?

Number 33 apparently the answer is 4 but I have no idea why

A stone is dropped from a tower 100 meters above the ground. The stone falls past ground level and into a well. It hits the water at the bottom of the well 5.00 seconds after being dropped from the tower. Calculate the depth of the well. Given: g = -9.81 meters/second2.

A car rolls down a hill from rest and reaches a velocity of 18.0 m/s in a distance of 25.0m. Find the acceleration of the cart.