1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksklad [387]
2 years ago
11

A rectangular plate is rotating with a constant angular speed about an axis that passes perpendicularly through one corner, as t

he drawing shows. The centripetal acceleration measured at corner A is n times as great as that measured at corner B. What is the ratio L1/L2 of the lengths of the sides of the rectangle when n = 2.30?
Physics
1 answer:
salantis [7]2 years ago
8 0

Answer:

2.07

Explanation:

Since you didn't supply the drawing, here is what I assumed:

A is the corner opposite the axis of rotation

B is one of the remaining two corners

L1 is the side between A & B

Centripetal acceleration is given by:

ac = v^2 / r = (v / r) * (v / r) * r…………1

Also angular speed is

w = v / r,………….2

Substituting (2) in (1) gives:

ac = (v / r) * (v / r) * r……….3

= (v / r)^2 * r

= w^2 * r

Therefore, the angular acceleration at A and at B are given by:

acA = w^2 * rA……..4

acB = w^2 * rB……..5

It is given that:

acA = n * acB…………6

Substituting (4) and (5) into (6) gives:

w^2 * rA = n * w^2 * rB ……….7==>

rA = n * rB……..8

In terms of the sides L1 and L2:

rA = sqrt (L1^2 + L2^2)…….9

and

rB = L2…………10

Considering (8):

n * L2 = sqrt (L1^2 + L2^2)………11

Squaring both sides:

n^2 * L2^2 = L1^2 + L2^2……….12

Dividing by L2^2:

n^2 = L1^2 / L2^2 + L2^2 / L2^2…….13

= (L1 / L2)^2 + 1 ==>

n^2 - 1 = (L1 / L2)^2 ………14==>

L1 / L2 = sqrt (n^2 - 1) ………15

= sqrt (2.30^2 - 1)

= 2.07. . . . . . <<<=== the value of the ratio L1 / L2 when n = 2.30

You might be interested in
What is a good question for a Science Fair (7th grade advanced) also im an online student so nothing really physical something t
tia_tia [17]
Photosynthesis is a good one you can really explain with pictures
8 0
3 years ago
What is the thermal energy least to greatest
zysi [14]

Answer:

A huge ice berg

An ice cube

An ocean

A cup of coffee

A cooked turkey

8 0
2 years ago
What is force derived from
Nata [24]

Answer:

Force can also be described intuitively as a push or a pull. ... It is measured in the SI unit of newtons and represented by the symbol F. The original form of Newton's second law states that the net force acting upon an object is equal to the rate at which its momentum changes with time.

Explanation:

hope this helps : )

6 0
3 years ago
Is the refraction different entering medium that has a higher index of refraction compared to entering amedium that has a lower
oee [108]

Answer:

Yes

Explanation:

The speed of light when it travels through glass, diamond, etc, the light travels at different speed from the speed of light. Speed of the light in material is related to the index of refraction.

The change in speed which occurs when the light passes from one medium to the another is responsible for bending of the light which is called as refraction.

<u>When the light goes into a medium with the higher index of the refraction, light bends towards normal. Conversely, if the light traveling goes from higher refractive index to lower refractive index, it will bend away from the normal. </u>

<u>Hence, the refraction is different in both the scenario.</u>

6 0
3 years ago
WHAT SHOULD I NAME MY DEAD RAT?
olga_2 [115]

Answer:

pablito

Explanation:

6 0
2 years ago
Other questions:
  • Archimedes' principle says that a 15 N object is buoyed up by a force that is
    6·2 answers
  • One deterrent to burglary is to leave your front porch light on all the time. If your local power utility sells energy at 17¢ pe
    13·1 answer
  • Two identical balls balls P and Q, each of mass 0.20 g, carry identical charges and are suspended by two threads of equal length
    15·1 answer
  • The famous astronomer, Kepler, determined that the planetary orbits were: 1. ellipses 2. circles 3. epicentric 4. geocentric
    5·1 answer
  • Diffusion of water through a differentially permeable membrane is called
    6·2 answers
  • A downed pilot fires a flare from a flare gun. The flare an initial speed of 250 m/s and is fired at an angle of 35° to the grou
    13·2 answers
  • How are force, mass and acceleration related?
    15·1 answer
  • The drawing shows a tire of radius R on a moving car
    8·1 answer
  • A rough surface does not shine why?​
    15·2 answers
  • An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a ra
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!