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
MissTica
3 years ago
11

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete

ten revolutions, calculate the centripetal acceleration.
Physics
2 answers:
IRISSAK [1]3 years ago
6 0

Answer:

a_c=246.5 \frac{m}{s^2}

Explanation:

The formula for centripetal acceleration is:

a_c=rw^2

<em>Where,</em>

<em>r: radius.</em>

<em>w:Angular speed.</em>

Angular speed is defined by:

w=\frac{\Delta\theta}{\Delta t}

<em>Where,</em>

<em>\theta: position angle.</em>

<em>t: time.</em>

In this case we have that the object takes 4.0 seconds to complete ten revolutions.

You have to know that 1 revolution = 2\pi rad, then

10 revolutions= 10.2\pi rad = 20\pi rad

Replacing

\Delta\theta=20\pi rad\\\Delta t=4.0s

in the formula of Angular speed:

w=\frac{\Delta\theta}{\Delta t}\\\\w=\frac{20\pi rad}{4.0s}

w=5\pi \frac{rad}{s}\\w=15.7\frac{rad}{s}

Now we have,

a_c=rw^2\\a_c=r(15.7\frac{rad}{s})^2

r=1.0m

a_c=1.0m(15.7\frac{rad}{s})^2\\\\a_c=1.0(246.5)\frac{m}{s^2} \\\\a_c=246.5\frac{m}{s^2}

Then the centripetal acceleration is:

a_c=246.5 \frac{m}{s^2}

Masteriza [31]3 years ago
4 0
A = ω²r

r = 1 m
ω = 2πf = 2π * 10 / 4 = π*5 s⁻¹
You might be interested in
Why the change of the pressure and temperature affect the velocity of the sound ​
Marysya12 [62]

<h2>\large{\underbrace{\underline{\fcolorbox{White}{aqua}{\bf{ANSWER♥︎}}}}}</h2>

<u>Air pressure has no effect at all in an ideal gas approximation. This is because pressure and density both contribute to sound velocity equally, and in an ideal gas the two effects cancel out, leaving only the effect of temperature. Sound usually travels more slowly with greater altitude, due to reduced temperature.</u>

5 0
3 years ago
a package was determined to have a mass of 5.7kilograms. what's the force of gravity acting on the package on earth?(a)37.93N(b)
Nana76 [90]
The force of gravity on earth is 9.807 m/s^2 (or meters per second per second).
To determine the force applied, multiply the mass of the package (5.7 kg) by the force of gravity on Earth (9.807 m/s^2).
5.7 x 9.807 = 55.86 N The answer is D.

Note: the actual force is 55.89 Newtons.
8 0
3 years ago
Read 2 more answers
Describe the motion of an object that has an acceleration of 0m/s2
solong [7]
Zero acceleration means the object's velocity is not changing.
So the object is moving in a straight line, at a constant speed
that could be anything (including zero) as long as it's constant.
6 0
3 years ago
A block slides down a plane inclinded at an angle of 37° to the vertical with an acceleration of 6m/s each second. what is the c
Irina18 [472]

Answer:

0.315

Explanation:

resolving weight into components and applying second law of motion we obtain the result

All has been explained in attachment

Download pdf
6 0
3 years ago
To determine the coefficient of static friction between two materials, an engineer places a small sample of one material on a ho
Fudgin [204]

This question is incomplete, the missing image is uploaded along this answer.

Answer:

the coefficient of friction is 0.32

Explanation:

 Given the data in the question;

we make use of kinematic equation of motion;

ω = ω₀ + ∝t

we substitute

ω = ( 0 rad/s ) + ( 0.4 rad/s² )( 9.903 s )

ω = 3.9612 rad/s

The centripetal force acting on the sample is;

Fc = mrω²

from the image; r = 200 mm = 0.2 m

so we substitute

Fc = m(0.2 m ) ( 3.9612 rad/s )²

Fc = (3.13822 m/s²)m

we know that the frictional force between the two materials should be providing the necessary centripetal force to rotate the sample object;

f = Fc

μN = Fc

μmg = (3.13822 m/s²)m

μ = (3.13822 m/s²)m / mg

μ = (3.13822 m/s²) / g

acceleration due to gravity g = 9.8 m/s²

so

μ = (3.13822 m/s²) / 9.8 m/s²

μ = 0.32

Therefore, the coefficient of friction is 0.32

5 0
3 years ago
Other questions:
  • Antiballistic missiles (ABMs) are designed to have very large accelerations so that they may intercept fast-moving incoming miss
    14·1 answer
  • A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for
    10·1 answer
  • Longitudinal waves travel through a series of ___ and ___ PlEASE HELP FAST!!!!!!
    7·1 answer
  • Why do we have seasons on Earth
    8·2 answers
  • An endothermic reaction is a chemical reaction where heat is
    6·2 answers
  • The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0.46. The weight of the object
    10·1 answer
  • Air in a thundercloud expands as it rises. If its initial temperature is 292 K and no energy is lost by thermal conduction on ex
    7·1 answer
  • ‏Explain how an electron emitted by the photoelectric effect can have kinetic energy less than threshold energy ?
    14·1 answer
  • Two boxes are 8 cm apart. Which of the following should Janet do to decrease the gravitational force between the boxes?
    14·1 answer
  • 8. Why would ChiN want its own currency to be undervalued relative to the U.S. dollar? How does ChiN maintain an undervalued cur
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!