a car on a circular track accelerates from rest. the radius of the track is 0.30km and the magnitude of the constant angular acceleration is 4.5x10-3 rads/s squared. find the centripetal acceleration of the car when it has completed half of a lap. ​

Answers

Answer 1

Answer:

The centripetal acceleration of the car is 50.4 m/s²

Explanation:

Given;

radius of the track, r = 0.3km = 300 m

constant angular acceleration, α = 4.5 x 10⁻³ rad/s²

during half of a lap, θ = π

Determine time of motion

θ = ωt + ¹/₂αt²

π = 0 + ¹/₂αt²

t² = 2π / α

t² = ( 2 x 3.142) / (4.5 x 10⁻³)

t² = 1396.44

t = √1396.44

t = 37.369 s

Determine the angular velocity

[tex]\omega_f = \omega_i + \alpha t\\\\\omega_f = 0 \ + \ 37.369*4.5*10^{-3}\\\\\omega_f = 0.168 \ rad/s[/tex]

Determine the centripetal acceleration of the car

[tex]\alpha _c = \omega^2 r\\\\\alpha _c = 0.168*300\\\\\alpha _c =50.4 \ m/s^2[/tex]

Therefore, the centripetal acceleration of the car is 50.4 m/s²


Related Questions

Help, please
and explain

Answers

We could tell a force is acting on an object if the object is being pushed, pulled, or moved in any way

Which has more momentum? A 60 kg object traveling at 3 m/s or a 9 kg object traveling at 23 m/s.

Answers

Answer:

If we compare 270 J and 2 380.5 J the higher is 2 380.5 J which is A 9 kg object traveling at 23 m/s

Explanation:

A 60 kg object traveling at 3 m/s

Given:

m = 60 kg

v = 3 m/s

Unknown:

KE or kinetic energy

Formula and solution:

KE = 1/2 mv²

KE = 1/2 (60kg) (3m/s)²

KE = (30kg) (9m²/s²)

Final Answer:

KE = 270 kg·m²/s² or simplify as 270 J

A 9 kg object traveling at 23 m/s

Given:

m = 9kg

v = 23m/s

Unknown:

KE or kinetic energy

Formula and solution:

KE = 1/2 mv²

KE = 1/2 (9kg) (23m/s)²

KE = (4.5kg) (529m²/s²)

Final Answer:

KE = 2 380.5 kg·m²/s² or simplify as 2 380.5 J

The 9 kg object has more momentum!
It has 207 Kg m/s compared to 180 Kg m/s of the 60 kg object.
Momentum = mass x velocity.

The mass of an object is 200 kg. What is it's weight on Earth

Answers

W = mass • gravity
W = 200 • 9.8
W = 1960 N

Answer:

1N=1 kg×m/s (sqaured)

Explanation:

basically if you are 225 lb u weigh 1000N. I hope I helped

Whats the difference between a solar eclipse and a lunar eclipse?

Answers

Answer:

A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.

Explanation:

your welcome

Why are ions formed?
Group of answer choices

A.Because atoms have the same number of protons and electrons

B. Because atoms want 8 valence electrons

C. To make our lives difficult

D. Because atoms gained neutrons

Answers

Answer:

B. Because atoms want 8 valence electrons

Explanation:

Ions are formed because atoms want 8 valence electrons. Most atoms attain stability when they 8 electrons in their outermost shell.

This is the reason why they form ions.

To form ions, atoms will gain or lose electrons or share them. This loss, gain, or sharing of electrons often lead to an atom become stable. One group of atoms, the noble gases, do not form ions readilyThey have complete numbers of electrons in their valence shells. So they do not gain, lose or share their electrons to form ions unlike the others.

what would you want the after life to be like. examples are heaven and hell ,reincarnation ,eternal darkness , reliving your live but different choices or become a ghost,

Answers

Answer:

i would want to be a dog or a cat

Explanation:

there just funny

jayleen has a mass of 35 kg and is riding her bike and experiences a 62 N force as shown. What is the expected magnitude of acceleration for Jayleen?
1.8 m/s²
2170 m/s²
343 m/s²
0 m/s²

Answers

Answer:

The answer is 1.8 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

where

m is the mass

f is the force

From the question we have

[tex]a = \frac{62}{35} \\ = 1.7714285...[/tex]

We have the final answer as

1.8 m/s²

Hope this helps you

A person throws a ball horizontally from the top of a building that is 26.1 m above the ground level The ball lands 112 m away from the base of the building Neglect air resistance and useg = 9.81 m/s ^ 2

Answers

Answer:

v = 5.21 m/s

Explanation:

Let the initial speed be v.

The top of a building is 26.1 m above the ground level and the ball lands 112 m away from the base of the building.

We need to find the initial velocity of the ball.

Let it was at rest initially. Using the second equation of motion to find time of flight.

[tex]d=ut+\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2d}{g}} \\\\t=\sqrt{\dfrac{2\times 26.1}{9.81}} \\\\t=2.3\ s[/tex]

No, using the formula of speed.

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{12\ m}{2.3\ s}\\\\v=5.21\ m/s[/tex]

So, the initial velocity of the ball is 5.21 m/s.

A bus travels 6 km east and then 8 km south. The magnitude of the bus’s resultant displacement is ___km.

I would like an explanation as well so I know how you got the answer you got.

Answers

Answer:

10 km

Explanation:

You can draw your problem out. You can use the pathagoran theorem to figure it out. So [tex]6^{2}[/tex] + [tex]8^{2}[/tex] and then square root the answer which will be [tex]\sqrt{100}[/tex] which equals to 10.

What is the speed of a car that moves 400 feet in 4 seconds?

Answers

Answer:

272.727mph(miles per hour)

Explanation:

What do x-direction and y-direction refer to when discussing an object's motion

Answers

Answer:

The x-direction and y-direction refer are used to refer to the location of an object as well as to the components of the motion of the object in a two dimensional space

Explanation:

In physics, in the analysis of the motion of an object in two dimensional space, the relative location of the object is specified using the measured distances in the x-direction from the y-axes and y-direction from the x-axes

In order to accurately specify the motion of the object, information regarding the component of the motion of the object in the x-direction and the component in the y-direction are required

No more energy can be removed from matter at
a. its freezing point.
c. absolute zero
b. 0°С.
d. 273 K.

Answers

C I hope it is correct good luck

when maggie applies the brake of her car, the car slows

Answers

What’s the question?

It takes 39.7 N to push a crate at a constant speed across flat ground where μk=0.438 what is the mass of the crate

Answers

Answer:

I don't know how to show the work but I just had this question and the answer is 9.24kg.

Explanation:

tony walks at an average speed of 70m/min from home to school. If the difference between his home and the school is 2100 m, how much time does it take for Tony to walk to school?

Answers

Answer. 30 minutes
Explanation. If he walks 70 m in one minute how long will it take him to walk 2,100 m. Well, this is a simple division problem (you could also use a ratio box).
2100/70= 30. Hope this helps, let me know if it’s correct so others can use it :)
Good luck.

The reverse of the process of sublimation is called
a freezing.
b vaporization.
c deposition.
d condensation.
Science

Answers

Pretty sure it’s c I think if I’m wrong I’m sorry

Why is thermal energy classified as kinetic energy?

Answers

Answer:

Thermal energy is an example of kinetic energy, as it is due to the motion of particles, with motion being the key. Thermal energy results in an object or a system having a temperature that can be measured. Thermal energy can be transferred from one object or system to another in the form of heat.

Explanation:

Answer:

Thermal energy is an example of kinetic energy, as it is due to the motion of particles, with motion being the key. Thermal energy results in an object or a system having a temperature that can be measured. Thermal energy can be transferred from one object or system to another in the form of heat.

Explanation:

Describe the position and velocity of the object based on the motion map.

Answers

Answer:

velocity is 1 m/s

Explanation:

Answer:

Include: The object starts away from the origin.

The object moves toward the origin at a constant velocity.

The object stops for one second.

The object moves away from the origin at a greater constant velocity.

Explanation:

A family drives 881 miles from Houston Texas to Santa Fe New Mexico for vacation how long will it take the family to reach their destination if they travel at a velocity of 55.0 miles per hour northwest?

Answers

Answer:

about 16 hours

Explanation:

if driving 55mph for 16 hrs you will travel about 880 miles

What is the pressure on a surface when a 20 N force is applied 10 m2, 5 m2, 2 m2

Answers

28mm , 5mls , 8mls , hope that helps

How does the earthquake magnitude work

Answers

Answer:

The magnitude of an earthquake is determined from the logarithm of the amplitude of waves recorded by seismographs. Adjustments are included in the magnitude formula to compensate for the variation in the distance between the various seismographs and the epicenter of the earthquakes.

Explanation:

have a good day

a standby generator is connected to fifteen 40w and a musical 600w amplifying system. how many energy is used up if the generator run 6hours
pls someone answer the question fast​

Answers

Answer:

1200 watts

-hope this helps

when x doubles and y stays the same​

Answers

I don't understand the question your asking. can you explain more?

how long would it take for a car to travel 200 km if it has an average speed of 55 km/hr?​

Answers

Answer:

3.6

Explanation:

Answer:

3.64 hrs

Explanation:

One frequent sign of gender inequality in the United States is that women do not ___________. A. enjoy the same voting rights as men B. earn as much as men in similar occupations C. receive admission to college as much as men D. have equal power in most relationships

Answers

One frequent sign of gender inequality in the United States is that women do not earn as much as men in similar occupation. So, option (B) is correct.

What is gender inequality?

Men and women are not treated equally in society, which social problem is referred to as gender inequality. Distinctions in genetics, psychology, or prevailing cultural norms in the society may be the cause of the treatment. While some of these distinctions are based on scientific research, others seem to be social constructs.

Numerous areas of study, such as education, life expectancy, personality, interests, family life, careers, and political affiliation, demonstrate the differences in gender experiences. Gender inequality impacts non-binary people and is experienced differently across cultural boundaries.

In the United States, One frequent sign of gender inequality is that women do not earn as much as men in similar occupations. So, option (B) is correct.

To learn more about gender inequality, refer the link:

https://brainly.com/question/1087314

#SPJ6

Answer:

B

Explanation:

edge2020

What is the net force required to accelerate a 5.3 kg box at a rate of 4.2 m/s^2?

Answers

Answer:

The answer is 22.26 N

Explanation:

The force acting on an object given the mass and acceleration we use the formula

force = mass × acceleration

From the question

mass = 5.3 kg

acceleration = 4.2 m/s²

We have

force = 5.3 × 4.2

We have the final answer as

22.26 N

Hope this helps you

Hydrogen is found as a gas on Earth but exists in all four states in the solar
system. Four samples of hydrogen have equal masses but are each in a
different state. Which statement about the relative amounts of thermal
energy in the samples is true?

Answers

Answer: the sample of solid has less energy than the sample of gas

Explanation:

APEX

How do you find the surface area of a rectangular object?

Answers

Answer:

A=2(wl+hl+hw)

Explanation:

Hope this helps! :)

When a ball is sitting still on top of a table, are the forces acting upon it balanced or unbalanced?

Answers

Answer:

Balanced

Explanation:

If a stationary object is staying still (in this case it's the ball) all of the forces acting upon it are balanced. If an object moving has balanced forces, it would move in the same direction at the same speed until a different outside force interrupts the equilibrium.

Hope this helps :)

This question involves the concepts of Newton's Second Law and Balanced Force.

The forces acting upon the ball are "Balanced".

Newton's Second Law

According to Newton's Second Law whenever an unbalanced force is applied on an object, it produces an acceleration in the object in the direction of the force itself. This acceleration is directly proportional to the magnitude of the force and inversely proportional to the mass of the object.

Since, the ball is at rest and not moving. Hence, it has no acceleration and no unbalanced force is applied on it. The weight of the ball is balanced by the normal reaction provided by the table. Therefore, the forces acting on the ball are Balanced Forces.

Learn more about Newton's Second Law here:

https://brainly.com/question/13447525

#SPJ2


5. A book is placed on a table. If the book exerts a force of 15 N'on the table,
how much force does the table exert on the book?
A. ON
C. 9.8 N
B. 3 N
D. 15 N​

Answers

Answer:

D

Explanation:

The table is NOT in motion, so it will remain still. Newton's second law states that for every action, there's an equal and opposite reaction. Therefore, the table must push back the opposite direction(up) with the same force(15N)

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