Take the radius of the Earth to be 6,378 km. (a) What is the angular speed (in rad/s) of a point on Earth's surface at latitude 31° N 0.0000727 rad/s (b) What is the linear speed (in m/s) of a point on Earth's surface at latitude 31° N? 397.45 m/s

Answers

Answer 1

To answer this question, we need to understand the concepts of angular speed and linear speed. Angular speed is the rate at which an object rotates around its axis,

measured in radians per second (rad/s). Linear speed, on the other hand, is the distance an object travels per unit of time, measured in meters per second (m/s).

In this case, we are given the radius of the Earth as 6,378 km. Using this information, we can calculate the angular speed and linear speed of a point on Earth's surface at latitude 31° N.

(a) To find the angular speed, we need to use the formula:

ω = v/r

where ω is the angular speed, v is the linear speed, and r is the radius of the Earth. We know the radius of the Earth is 6,378 km, so we can convert this to meters by multiplying by 1000:

r = 6,378 km × 1000 m/km = 6,378,000 m

We are also given the angular speed as 0.0000727 rad/s. Plugging these values into the formula, we get:

0.0000727 rad/s = v/6,378,000 m

Solving for v, we get:

v = 0.0000727 rad/s × 6,378,000 m = 460.1 m/s

Therefore, the angular speed of a point on Earth's surface at latitude 31° N is 0.0000727 rad/s.

(b) To find the linear speed, we need to use the formula:

v = ωr

where ω is the angular speed and r is the radius of the Earth. Plugging in the values we know, we get:

v = 0.0000727 rad/s × 6,378,000 m = 460.1 m/s

Therefore, the linear speed of a point on Earth's surface at latitude 31° N is 397.45 m/s.

In summary, the angular speed of a point on Earth's surface at latitude 31° N is 0.0000727 rad/s, and the linear speed is 397.45 m/s.

These calculations show how the rotation of the Earth affects the speed of objects on its surface, and provide important information for understanding and predicting various natural phenomena.

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Related Questions

Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor

Answers

Answer:

5.2 Ω.

Explanation:

What is the resistance for each resistor

Since the resistors are connected in series and each have resistance R, and their equivalent resistance is R' = 15.6 Ω.

Since they are connected in series, R' = R₁ + R₂ + R₃

Since R₁ = R₂ = R₃ = R

R' = R + R + R = 3R

R' = 3R

R = R'/3

R =  15.6 Ω/3

R =  5.2 Ω

So, the resistance of each resistor is 5.2 Ω.

Which object has the most kinetic energy? A. Object 1 B. Object 2 C. Object 3 D. Object 4

Answers

Answer:

the answer is A because it has the least number but high in energy

Which of the following Resistors A, B, C or D, would use the least power? Make
your claim, give evidence and explain your reasoning. You may use math to support
your claim.
Please Help.

Answers

i think the answer is D 10.0

a load of 600 kg is lifted by a carne up to 60 meters in 6 minutes . calculate it work and power.​

Answers

Explanation:

work=force*distance. force=load/10

___________

work=60*60=3600n

power=work/time(seconds)

Powe required is 1000

Explanation:

-Given: M= 600kg               H: 60

-Time of operation: t = 6 min = 360 seconds

-Work done in lifting boxes: w= mgh (600 x 10 x 60) = 360,000

-Power required: p=[tex]\frac{w}{t} = \frac{360000}{360} = 1000[/tex]

Give Ideas to create hearing instruments to fix hearing problems in space, as you know sound waves can’t travel through empty space.

Answers

hearing test provides an evaluation of the sensitivity of a person's sense of hearing and is most often performed by an audiologist using an audiometer. An audiometer is used to determine a person's hearing sensitivity at different frequencies.

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer:

B

Explanation:

︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎

House current is 120 volts. If a light bulb runs a current of 0.5 amps, what the resistance of the bulb? (Please please help!)

Answers

Resistance  =  (voltage) divided by (current)

                                              =  (120 V)  /  (0.5 Amp)

                                              =          240 ohms .

HOW does phenomenon/event IMPACTS or INFLUENCES the population and/or environment of the surrounding area

Answers

Answer:

Kindly check explanation

Explanation:

Our environment consists of various materials, structures and resources which are so naturally interrelated, the survival of a certain species depends on the wellbeing of the other. This could be buttressed from the definition of environment which simply means the entirety of factors, naturally occurring phenomenon around us. The pollution of the air affects the oxygen we breathe in due to contamination ad thus affects the health of those who Live within the affected area. Change in climatic condition, vegetation and other phenomenon will always affect the environment since the environment itself isn't just humans being but the entirety of conditions both natural occurring and others which keeps the live and the world in existence.

Please define newtons 1st law of motion.

Answers

It says an object will remain at rest unless external forces act upon it.

Explanation:

Newton's first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

ANSWER THE ALL THE QUESTIONS IN THE FOLLOWING FOR 90 POINTS!

Answers

25

89

105

99

I don't know. I'm sorry

An airplane is flying at 80 kilometers per hour when a strong tail wind, traveling in the same direction at 5 kilometers per hour, hits the airplane. How can the net force acting on the airplane be calculated?


A. add the forces
B. subtract the forces
C. multiply the forces
D. divide the forces

Answers

Answer:

A.add the forces

Explanation:

since they're both going in the same direction then they should be added to get the total net force.

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The net force acting on the airplane if, An airplane is flying at 80 kilometers per hour when a strong tailwind, traveling in the same direction at 5 kilometers per hour is 85 km/hr so, option A is correct.

What is force?

Force is the influence of either pull or pushes in the body. Basically, gravitation forces, nuclear forces, and friction forces are the types of forces.

For e.g. when the wall is hit by a hand then a force is exerted by the hand on the wall as well as the wall also exerts a force on the hand. There are different laws given to Newton to understand force.

Given:

An airplane is flying at 80 kilometers per hour when a strong tailwind, traveling in the same direction at 5 kilometers per hour,

Calculate the net force acting on the airplane as shown below,

The net force acting on the airplane = The velocity of the airplane + velocity of the wind  (As they both are in the same direction)

The net force acting on the airplane = 80 km / hr + 5 km / hr

The net force acting on the airplane = 85 km / hr

Thus, the net force acting on the airplane is added.

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Explain how the readings on both meters change when the environmental conditions change.

Help please :'0

Answers

Answer:

* Temperature changes

* Changes in the tension

* Errors in the meter marks

Explanation:

When we are using several meters to make a measurement we have several aspects that can cause the readings to differ.

* Temperature changes make the dilation between readings different, at higher temperatures the material of the meter expands and the reading decreases.

* Changes in the tension with which the meter is pulled to keep it straight, in general all materials bend under the action of gravity, so you have to pull them to make them straight, if the forces are different from the material is lengthened decide Young's modulus, inducing different readings

* Errors in the meter marks, especially in the initial part that is covered by a hook, different positions of the hook change the readings.

* Structural problems, such as rust, bends that create changes in the length of the meter material.

i will give Brainliest
How do pool players use Physics to make the balls on the pool table go where they want to?

Answers

Answer:

hi my Friend

check in this link https://youtu.be/ErFP7VmNbGk

Explanation:

The power generated by the engine was just 2.984 KW. How long would this engine have to run to produce 3.60 × 104 J of work?

Answers

1 watt = 1 joule/second

1 KW = 1,000 joule/second

Work = (power) x (time)

3.6 x 10⁴ J = (2,984 joules/second) x (time)

time = (3.6 x 10⁴J) / (2,984 J/s)

time = (36,000J) / (2,984 J/s)

time = 12.06 seconds

According to Newton’s law of universal gravitation, as the mass or one or both bodies increases, what happens to the force of attraction between the bodies?

force decreases

causes no change

force increases

Answers

Answer:

force increases

Explanation:

Newton's law of universal gravitation states that the force of attraction (gravity) acting between the Earth and all physical objects is directly proportional to the Earth's mass, directly proportional to the physical object's mass and inversely proportional to the square of the distance separating the Earth's center and that physical object.

According to Newton’s law of universal gravitation, as the mass or one or both bodies increases, the force of attraction between the bodies increases.

Mathematically, this is given by the Newton's Second Law of Motion;

Force = mass * acceleration.

if a person is 6.25 m away from a 60.0 w speaker, what is the sound level they are hearing?
(treat the speaker as a point source.)

Answers

Answer:

111dB

Explanation:

First, find the intensity of the sound using the formula I = Power / 4 x pi x radius ^2

So

60.0 / (4 x 3.14 (6.25)^2)

= 0.122

Then plug that into the equation to find sound level, which is 10log( I / Io)

Io being (1 x 10^-12)

So

10log(0.122 / 1 x 10^-12)

= 111dB

Hope this helps :)

A 0.15 kg. baseball flies rightward at 15m/s to hit a tennis ball flying at it from

the opposite direction of 22 m/s. The baseball and the tennis ball have a

final speed of 1.2 m/s and 13 m/s respectively, both to the right.

What is the mass of the tennis ball?

(w/solution)

Answers

Let’s use *queue dramatic voice* THE GREAT LAW OF THE CONSERVATION OF MOMENTUM!!!!!

m1v1i + m2v2i = m1v1f + m2v2f

m1v1i - m1v1f = m2(v2f - v2i)

m2 = (m1v1i - m1v1f) / (v2f - v2i)

m2 = [(0.15)(15) - (0.15)(1.2)] / (13 - -22)

Henceforth, my good sire, the mass indeed works out to a fine approximate value of:
m = 0.06 kg

That’s a pretty small tennis ball!

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the value of acceleration due to gravity (g) will be maximum at:
.
a) 1/2 of the radius of earth

b) 1/4 of the radius of earth

c) 1/8 of the radius of earth

Answers

C) 1/8 of the radius of earth. Why? Well, the closer you get to the core of the earth, the stronger the gravitational field (acceleration due to gravity) is. Why? Because of Newton’s law of Gravitation:
Fg = GMm/r^2; as r decreases, Fg increases, and so does g.

Please mark as brainliest thank you!

Let the displacement function of a particle is x(t)=(20t^2-15t+200). Find the total displacement, instantaneous velocity and instantaneous acceleration​

Answers

Answer:

A.) 39.5 m

B.) 0

C.) 60m/s^2

Explanation:

Given that a displacement function of a particle is x(t)=(20t^2-15t+200).

To Find the total displacement,

Reduce everything by dividing them by 5

X(t) = 4t^2 - 3t + 40 ...... (1)

For instantaneous velocity, differentiate x(t). That is,

dy/dt = 60t - 15 ...... (2)

But dy/dt = velocity.

If dy/dt = 0, then

60t - 15 = 0

60t = 15

t = 15/60

t = 0.25s

Substitutes t in equation (1)

Total displacement will be

X(t) = 4(0.25)^2 - 3(0.25) + 40

X(t) = 0.25 - 0.75 + 40

Total displacement = 39.5 m

To calculate instantaneous velocity, substitute t into equation (2)

V = 60 (0.25) - 15

V = 0.

and to find instantaneous acceleration, differentiate dv/dt

dv/dt = 60

Therefore, acceleration = 60 m/s^2

How much heat is required to raise the temperature of 2.0 kg of concrete from 10C to 30C? (The specific heat of concrete is 880 j/kg-C.)
A. 22 J
B. 88 J
C. 8800 J
D. 35200 J

Answers

Answer:B

Explanation:

Someone Help me please

Answers

Answer:

a) Yes because spiderman isn’t part of the system (the train), so he exerts an external force on the system, causing it to slow. The sign is negative because the train is slowing negative.

b) The train was initially moving, so it had kinetic energy, the energy of movement. There isn’t the same amount anymore because spiderman did work onto the train. Work is defined by the change of kinetic energy of the system, so the train didn’t have the same amount of that type of energy at the end.

I hope this helps! :)

A wave along a guitar string has a frequency of 540 Hz and a wavelength of 2.5 meters. What is the speed of the wave?

Answers

I believe this is the answer try it out

What does the force between electric charges depend on

Answers

Answer:

Electric force and the inverse square law

Both forces act along the line joining the objects (masses or charges). Both forces are inversely proportional to the square of the distance between the objects, this is known as the inverse-square law.

There is a scale with a basket on it. A brick, brick #1 is placed on the scale. The brick has a mass of 10 kg. If the brick is not moving on the scale, are the forces balanced or unbalanced?

Answers

Answer:

The forces are balanced

Explanation:

Since the brick is not moving on the scale, it means that the forces are balanced. An unbalanced force would only be present if there is motion of the brick. So, since the brick does not move, the net force on it is zero. Thus, the forces on it are balanced.

A 6000 kg African elephant walks 13 meter
around the park. Determine the acceleration of
an African elephant in m/s2 if it has a work
done of 500J.

Answers

It is 18 because 500j

pls help i’ll give brainliest if you give a correct answer!!

Answers

the answer is south because the air friction is the opposite side of where the plane is going if that makes sense
D.South maybe I hope it’s right

A spring with k = 33.5 N/m has a
1.20 kg mass attached. It is pulled
0.120 m and released. How much
mechanical energy does it have?
(Unit = J)

Answers

Answer:

M.E = 0.241 Joules.

Explanation:

Given the following data;

Spring constant, k = 33.5 N/m

Extension, e = 0.12m

Mass = 1.20kg

To find the mechanical energy (M.E);

Mathematically, mechanical energy is given by this formula;

M.E = ½ke²

Where;

k is the constant of elasticity (spring constant). e is the extension of the string.  

Substituting into the equation, we have;

M.E = ½*33.5*0.12²

M.E = ½*33.5*0.0144

M.E = 0.4824/2

M.E = 0.241 Joules.

i’m like kinda bad at physics so ya please help

Answers

Answer:

99 joules.

Explanation:

Let m denotes mass of the object and v denotes velocity.

If mass has units of kilograms and the velocity has units of meters per second then the kinetic energy has units of joules.

Kinetic energy is an energy possessed by a body in motion.

Mass (m) = 99 kg

Velocity (v) = 2 m/s

To find kinetic energy, use the following formula:

Kinetic energy = [tex]\frac{1}{2}mv^2=\frac{1}{2}(99)(2)=99[/tex] joules

Calcule how long it takes a sound wave to travel trough 1.0km of water at 0C

Answers

Answer:

Explanation:

25.0 m/s

Answers: 25.0 m/s
Speed in the water is much faster than in air, the distance that sound waves travel is primarily dependent upon ocean temperature and pressure. While pressure continues to increase as ocean depth increases, the temperature of the ocean only decreases up to a certain point, after which it remains relatively stable.

Based from the flow chart, what can you generalize about the formation of typhoons? How do typhoons develop?

Answers

Answer: Warm water from the ocean is needed to develop typhoon

Pls Rate this as Brilliant Answer thank you :) keep on learning

Typhoons form when strong winds blow into warm areas of the ocean. These winds pick up moisture and rise, bringing colder air with them. This creates pressure, causing the winds to move quickly. The winds revolve or spin around a central point known as an eye.

What is typhoon ?

A typhoon is a mature tropical cyclone that forms in the Northern Hemisphere between 180° and 100°E. The Northwestern Pacific Basin is the most active tropical cyclone basin on Earth, accounting for nearly one-third of the world's annual tropical cyclones.

The Philippines is just above the equator and faces the western Pacific, with little else to absorb storm energy before it reaches land. Storms are fueled by warm, tropical waters, which produce approximately 20 typhoons per year.

Hurricanes and typhoons can wreak havoc on coastlines and hundreds of miles inland. They can generate winds of up to 155 mph, as well as tornadoes and microbursts.

Thus, Typhoons form when strong winds blow into warm areas of the ocean.

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