contestada

Let R be the distance between the cylinder and the center of the turntable. Now assume that the cylinder is moved to a new location R/2 from the center of the turntable. Which of the following statements accurately describe the motion of the cylinder at the new location? Check all that apply.1.The speed of the cylinder has decreased.2. The speed of the cylinder has increased.3. The magnitude of the acceleration of the cylinder has decreased.4. The magnitude of the acceleration of the cylinder has increased.5. The speed and the acceleration of the cylinder have not changed.

Respuesta :

Answer:

The speed of the cylinder has decreased

Explanation:

Given data:

Distance between the center of the turn table and the cylinder = R

Distance between the center of the turn table and the cylinder when it is moved to a new point, R' = R/2

the tangential velocity in circular motion is given as:

[tex]V=\frac{2\pi R}{T}[/tex]

where T is the time

now for R = R' = R/2

the new velocity V' comes as:

[tex]V'=\frac{2\pi \frac{R}{2}}{T}[/tex]

or

[tex]V'=\frac{\pi R}{T}[/tex]

thus the velocity becomes half or we can say the velocity decreases

Now, the acceleration (a) in circular motion is given as:

a = V²/R

now for

R = R' = R/2

the velocity V' = V/2

thus,

new acceleration a' comes as:

[tex]a = \frac{(\frac{V}{2})^2}{R/2}[/tex]

or

[tex]a'=\frac{V^2}{2R}[/tex]

thus,

the acceleration decreases by 2 times

batolisis

The statement that accurately describes the motion of the cylinder at the new location is : ( 1 )  and ( 3 )

  • The speed of the cylinder has decreased ( 1 )
  • The magnitude of the acceleration of the cylinder has decreased ( 3 )

Given data :

Distance between cylinder and center of the turn table = R

Distance between cylinder and turntable when moved = R/2

where ;

Tangential Velocity/speed =  [tex]\frac{2\pi R}{T}[/tex]  

R = distance between objects

T = time

∴ The initial Tangential velocity of the cylinder at rest ( V ) = [tex]\frac{2\pi R}{T}[/tex]  ----- ( 1 )

 while the

Tangential velocity/speed of the cylinder when it moves ( V' ) = [tex]\frac{2\pi R/2}{T}[/tex]

                                                                                                       = [tex]\frac{\pi R}{T}[/tex] ----- ( 2 )

Therefore comparing equations ( 1 ) and ( 2 )  the speed of the cylinder has decreased as the cylinder moves from R to R/2 .

Also Given that Tangential acceleration = v² / R .

Since velocity decreases after the cylinder moves, the magnitude of the acceleration of the cylinder will decrease as well.

Hence we can conclude that the acceleration and speed of the cylinder has decreased with the movement of the cylinder.

Learn more : https://brainly.com/question/22587417

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