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

Hydrogen is found as a gas on Earth but exists in all four states in the solar
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Answer: the sample of solid has less energy than the sample of gas

Explanation:

APEX

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

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Explanation:

How does the earthquake magnitude work

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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

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

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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

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Final Answer:

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Answers

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Answers

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

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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

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We have

force = 5.3 × 4.2

We have the final answer as

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Answers

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Answers

Answer:

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Explanation:

there just funny

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Answers

Answer:

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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.

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Answer:

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edge2020

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

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

Answers

Answer:

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Explanation:

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


5. A book is placed on a table. If the book exerts a force of 15 N'on the table,
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Answers

Answer:

D

Explanation:

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Answers

Answer:

3.6

Explanation:

Answer:

3.64 hrs

Explanation:

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.

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The forces acting upon the ball are "Balanced".

Newton's Second Law

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Answers

Answer. 30 minutes
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Answers

Answer:

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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.

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Explanation:

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
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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

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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

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

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

Answers

What’s the question?

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.

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.

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.

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:

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

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