An automobile tire with a radius of 0.30 m starts at rest and accelerates at a constant angular acceleration of 2.0 rad/s2 for 5.0 s. What is the angular displacement of the tire?

Answers

Answer 1

Answer:

The value is [tex]\theta = 25 \ radian[/tex]

Explanation:

From the question we are told that

   The radius is  [tex]r = 0.30 \ m[/tex]

   The acceleration is [tex]\alpha = 2.0 \ rad/s^2[/tex]

    The time taken is [tex]t = 5.0[/tex]

Generally the angular displacement is mathematically represented as

          [tex]\theta = \frac{s}{r}[/tex]

Here s is the linear distance covered by the tire which is mathematically represented as

        [tex]s = u t + \frac{1}{2}a t^2[/tex]

Here  u is 0 given that the car started from rest and

               [tex]a = \alpha * r = 2.0 * 0.30= 0.6\ m/s^2[/tex]

So

     [tex]s = 0 + \frac{1}{2}*0.6* 5^2[/tex]

     [tex]s = 7.5 \ m[/tex]      

So

      [tex]\theta = \frac{7.5}{0.30}[/tex]

=>  [tex]\theta = 25 \ radian[/tex]


Related Questions

If a squirrel climbs a tree at 16m/s, how many meters will it travel every hour?

Answers

Answer:

57600 m and hour

Explanation:

Is it possible to analyze the motion of an object that has non-constant acceleration?

Answers

Answer:

B

It is possible, but with formulas not yet derived by physicists.

Explanation:

Yes, it is possible to analyze the motion of an object that has non-constant acceleration but not with the help of Newton's equation of motion, as these equations are only valid for constant acceleration.

What are the three equations of motion?

There are three equations of motion given by  Newton,

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

Note that these equations are only valid for a uniform acceleration.

It is feasible to study an object's motion with non-constant acceleration, but not using Newton's equations of motion because these equations are only applicable for constant acceleration.

For analyzing the variable acceleration we have to use the calculus tools such as differentiation and integration.

Hence, it is possible to analyze the motion of an object that has non-constant acceleration

Learn more about equations of motion from here,

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What is a coastal plain? A high mound or ridge of sand The boundary between the land and an ocean A flat, low-lying piece of land next to the ocean The piece of land formed when a river splits into smaller rivers

Answers

Answer:

Hi I learned that it is something pretty and it's a flat low-lying piece of land next to the ocean

Explanation:

Answer:

A coastal plain is flat, low-lying land adjacent to a sea cost. A fall line commonly marks the border between a coastal plain and a piedmont area. Some of the largest coastal plains are in Alaska and the southeastern United States.

Explanation:

what determines the roll and pitch of a satellite.
This is for my Physical science class

Answers

Answer: Rotation around the side-to-side axis is called pitch. Rotation around the vertical axis is called yaw.

Works by separating the different wavelengths of light, used to
determine which elements are present in a star or sample

Answers

Answer:the light from an astronomical source can consist of a continuous spectrum, an emission (bright line) spectrum, or an absorption (dark line) spectrum. Because each element leaves its spectral signature in the pattern of lines we observe, spectral analyses reveal the composition of the Sun and stars.

Explanation:

which molecule has the longest bond length nitrogen, hydrogen or oxygen

Answers

Answer:

Hydrogen

Explanation: hopefully.

A swimmer can travel 2.30 m/s in still water. The swimmer heads directly west across a steam whose current is 1.20 m/s n. What is his velocity relative to the ground

Answers

Answer:

velocity relative to the ground = 2.54 m/s

Explanation:

given data

still water Vx = 2.30 m/s

across a steam Vy = 1.20 m/s

solution

we get here first velocity relative to the ground is express as

velocity = [tex]\sqrt{Vx^2+Vy^2}[/tex]      ...............1

put here value and we get

velocity  = [tex]\sqrt{2.3^2+1.20^2}[/tex]

velocity = 2.54 m/s

In one of the printed docunent the unit of universal gravitational constant is given Nm2kg-2.Check its correctness for dimension analysis.​

Answers

Answer:

It is correct

Explanation:

N is a unit of force

m for distance

and kg for mass

dimension of force is MLT-2

dimension of distance is L

dimension of mass is M

then. Nm2kg-2 must be equal to [MLT-2][L2][M-2]

or, Nm2kg-2 = [M-1 L3 T-2]. --------1

force (F) = G (m1 x m2)/d2

or G = Fd2/(m1m2)

G = (MLT-2 . L2)/M-2

= M-1L3T-2. -----------2

EQN 1 = EQN 2

so given unit is correct

A student athlete is participating in the hammer throw. The student rotates in uniform circular motion with the mass rotating 2.3 m away from the center of rotation.

Refer to the information and diagram shown above. The student athlete can rotate so that the object is moving with a speed of 10 m/s.

What is the acceleration necessary to keep the object in uniform circular motion?

Answers

The acceleration necessary to keep the object in uniform circular motion is 43.48 m/s²

From the question given above, the following data were obtained:

Radius (r) = 2.3 mVelocity (v) = 10 m/sAcceleration (a) =?

The acceleration required to keep the object in circula motion can be obtained as follow:

a = v² / r

a = 10² / 2.3

a = 100 / 2.3

a = 43.48 m/s²

Thus, the acceleration required to keep the object in circula motion is 43.48 m/s².

Learn more about centripetal acceleration: https://brainly.com/question/1112940

7. A car drives 750 m directly to the north, stops, and then backs up 300 m to the south.
a) What is the magnitude of the car's displacement?

Answers

Answer:

what grade is this?

Explanation:

Answer:

is it cumpulsary to know how fast the car was moving or it dosn't have to deal with velocity

Explanation:

:)

5. An airplane must reach a velocity of 71 m/s for takeoff. If the runway is 1.0 km long, what
must the constant acceleration be?

Answers

Answer:

final velocity 'v' = 71m/s distance 's' = 1000m intial velocity 'u' =0 therefore,using third equation of motion v^2- u^2=2*a*s 71*71=2*a*1000 a=71*71/(2*1000 a= 2.52m/s^2

Explanation:

if an engine applies a force of 600N on a 200kg scooter. what will be the change of speed? answer in m/s^2

Answers

Gr
R
R
T
T
Tictuursydyficutcicigfiyuf
R
R

Johnny kicked a football from a hill 20 meters tall. The ball leaves at a 45.0 degree angle with an initial velocity of 30.0 m/second. How many seconds was the ball in the air? Report your answer to 3 sig figs. Seconds

Answers

Answer:

The value is [tex]t = 5.124 \ s[/tex]

Explanation:

From the question we are told that

   The height of the tree is [tex]s = 20 \ m[/tex]

    The angle the ball leaves is  [tex]\theta = 45^o[/tex]

    The initial velocity  is  [tex]u = 30.0 \ m/s[/tex]

Generally the vertical of the ball's initial velocity is mathematically evaluated as

      [tex]u_y = u * sin (45)[/tex]

=>   [tex]u_y =- 30 * sin (45)[/tex]

=>   [tex]u_y = -21.21 \ m/s[/tex]

Here  [tex]u_y[/tex] is negative because it is in the direction of the negative y-axis

Generally from kinematic equation we have

      [tex]s = u_yt + \frac{1}{2} g t^2[/tex]

=>   [tex]20= -21.21 t +4.9 t^2[/tex]

=>   [tex]4.9 t^2 -21.21 t- 20= 0[/tex]

Solving using quadratic formula we have that

        [tex]t = 5.124 \ s[/tex]

   

Need help ASAP!! Why does the ray bend as it enters the glass

Answers

Answer:

Explanation:

because as the light shines through the glass, The glass reflects the light from different places in the glass causing the light to bend

Answer: If light enters any substance with a higher refractive index  it slows down. The light bends towards the normal line. If light travels enters into a substance with a lower refractive index it speeds up. The light bends away from the normal line.

A bird flies 1.3\,\text m1.3m1, point, 3, start text, m, end text with an average speed of 2.4\,\dfrac{\text m}{\text s}2.4 s m ​ 2, point, 4, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction.

Answers

Explanation:

We are not asked what to look for, bot we can as well get the time taken by the bird to cover the distance at that speed.

Given

average speed = 2.4m/s

Distance = 1.3m

From the formula

Speed = Distance/Time

Time = Distance/Speed

Time = 1.3/2.4

Time = 0.542secs

Hence the total time covered by the bird is 0.542secs

HELP PLEASE!!
You throw a rock with sufficient speed to put it into orbit around the asteroid 234 Ida very close to its surface. How long would it take the rock to make one orbit around the asteroid? Assume 234 Ida is spherical. Ida's mass is 4 x 1016 kg and its radius is 16 km.

A) 0.62 hr
B) 2.2 hr
C) 1.6 hr
D) 3.4 hr

Answers

Answer:

The correct option is;

B) 2.2 hr

Explanation:

The location of the rock in the orbit of the asteroid = Close to the surface of the asteroid

The required equation is given as follows;

[tex]\dfrac{G \times M \times m}{r^2} = \dfrac{m \times v^2}{r}[/tex]

[tex]\therefore v^2 = \dfrac{G \times M}{r}[/tex]

Where;

v = The orbital velocity

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

r = The radius of the planet = 16 km = 16,000 m

M = The mass of the planet = 4 × 10¹⁶ kg

∴ v² = 6.67430 × 10⁻¹¹ × 4 × 10¹⁶/16,000 = 166.8575

v = √(166.8575) = 12.92 m/s

The orbital velocity = v = 12.92 m/s

The time it takes for the rock to make one orbit round the asteroid is given as follows

The length of the orbit = The circumference of the asteroid = 2 × π × r  

The length of the orbit =  2 × π × 16,000 ≈ 100530.965 m

The time it takes for the rock to make one orbit round the asteroid = The length of the orbit/(The speed of the asteroid)

The time it takes for the rock to make one orbit round the asteroid = 100530.965/(12.92) ≈ 7781.034 seconds or 2.2 hours (by approximation by one decimal place)

The time it takes for the rock to make one orbit round the asteroid ≈ 2.2 hours.

Which does NOT illustrate Newton's First Law?

Answers

Answer:

u didnt have options? to this question

What is the driving energy source for the heating of the Earth?

Answers

The sun is the driving energy source for the heating of the Earth

What are examples of Electrical Potential Energy

Answers

Lightning is probably the most flamboyant example that we are familiar with in our normal lives.

Lightning results from a negative charge in the bottoms of clouds and a positive charge on the surface. When the potential energy becomes great enough to overcome the insulation caused by the atmosphere, it jumps the gap.


A wagon, initially traveling at a constant 8.5 m/s, starts going down a hill that creates an
acceleration of 4.1 m/s2. How far downhill has the wagon gone after 2.7 s ?

Answers

Answer:

Explanation:

Given parameters:

Initial velocity  = 8.5m/s

Acceleration  = 4.1m/s²

Time  = 2.7s

Unknown:

Distance downhill traveled  = ?

Solution:

To solve this problem, we have to adopt the right motion equation;

          S = ut + [tex]\frac{1}{2}[/tex]at²

where  s = distance

            u = initial velocity

            a = acceleration

            t = time taken

Insert the parameters and solve;

  S = (8.5 x 2.7) + ([tex]\frac{1}{2}[/tex] x 4.1 x 2.7²)

  S = 22.95 + 14.95

  S = 37.9m


The area under which of
these graphs can be used
to estimate the value of
impulse?
Graph A
O Graph B
O Graph C
Graph D

Answers

Answer:

Graph A is the Answer

(Forensic Science)

Officer Piddington has been called to a murder scene. He arrives to find EMTs tending to the victim lying on the living room floor with a large knife protruding from his sternum. It is clear that this is where the crime occurred, and Officer Piddington does not see any evidence of dangerous chemicals on site. He secures the area and then begins to document the scene. What is one of the first things that Officer Piddington records in his notes about the crime scene?

The victim's past criminal history
A description of the crime scene when he arrived
The estimated time of death of the victim
A list of possible suspects involved in the crime

Answers

Answer:

The answer is B

Explanation:

The detective begins his/her documentation of the crime scene by writing down the date, time, and location of the crime scene. this is always important to start the report with so that any who reads the notes know when and wher this all happened before reading about evidence other wise the reader could be confused and pass evidence off as faulty.

Answer:

A description of the crime scene when he arrived

Explanation:

why are there no earthquake on the country ies you mentioned​

Answers

Answer:

I’m not sure bro

Explanation:

Answer:

The whole country is in a very seismic area,and they have the densest seismic network in the world, so they are able to record many earthquakes. The spares seismic instrumentation in those areas doesn't allow us to actually record all the smaller earthquakes.

oiii any tamil people put me a hai​

Answers

huh I dont understand your question.

Friction force is the opposition to the motion of surfaces sliding across each other. Based on your observations, what is one factor that affects the amount of friction?

Answers

One factor that affects the amount of friction is roughness or smoothness of the sliding object.

Factors affecting friction

There are several factors affecting the amount of friction and they include the following;

Roughness or smoothness of the sliding object.Roughness or smoothness of the surface.Shape of the object.Normal force acting upon the sliding bodies.Dry friction is independent of the surface area of a contact.

Thus, one factor that affects the amount of friction is roughness or smoothness of the sliding object.

Learn more about friction here: https://brainly.com/question/24338873

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Answer: It depends on the surface is the surface bumpy? Or is the surface flat and smooth?

Explanation: If a surface is to bumpy friction slows it down, if a surface is flat and smooth it glides with ease.

when your bikes in motion and you slam on the brakes, do you experience positive or negative acceleration?

Answers

Answer:

negative

Explanation:

People have vastly different opinions on the role and responsibility of schools to provide sex education. Teenage pregnancy and sexually transmitted diseases are real problems facing our adolescent population. In some cases, the decision to engage in a sexual relationship is a life or death decision.

References:

Coon, D., Mitterer, J.O., & Martini, T. (2019). Introduction to psychology: Gateways to mind and behavior (15th ed.). Belmont, CA: Cengage Learning.

Answers

Answer: ummm is this a question?

Explanation: what I said up there ^

A person with a mass of 70 kg exerts a force of 60 N when she runs.

What is her acceleration?

Answers

Answer:

a = 0.857143 m/s2

Explanation:

a=f/m

60/70

EASY QUESTIONS! DUE IN 15 MIN WILL MARK BRAINLIEST.

1. What is the sum of a vector 8 m south and a vector 12 m north? *
2. What is the sum of a vector 12 m north and a vector 8 m north? *

PLEASE SHOW WORK AND EXPLAIN

Answers

Explanation:

As they are in same direction, you can add them directly. And result is 12 + 8 m = 20 m North. If you use vector addition: Vectors = 12m & 8 m & angle b/w them is 0°(as both are in same direction).

Calculate the work done by a 60 N force pushing a pencil 0.25 m

Answers

In case we are asked useful work done then we calculate net force used for pushing the pencil:
Net force used for pushing the pencil
=
47

23
=
24

N

Assuming that direction of movement of pencil and net force is same.
Useful Work done by force in moving the penc
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