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
FromTheMoon [43]
2 years ago
6

6. A tire 0.500 m in radius rotates at a constant rate of 300 revolutions per minute. Find the speed and acceleration of a small

stone lodged in the tread of the tire (on its outer edge).
Physics
1 answer:
Virty [35]2 years ago
6 0

The speed and acceleration of the stone is 15.7 m/s and 31.4 m/s^{2}.

<h3>What is acceleration?</h3>

Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.

<h3>Calculation of the speed of stone lodged in the tread of the tire:</h3>

Given, radius of tire (r) = 0.500 m

<h3 />

V_{t} =\frac{2\pi r}{T} \\=\frac{2\pi (0.500)}{(60s/300rev)}

= 15.7 m/s

<h3>Calculation of it's acceleration:</h3>

a=\frac{v^{2} }{R}\\\\\= \frac{15.7}{0.500}

= 31.4 m/s^{2} inward

Hence, the speed and acceleration of the stone is 15.7 m/s and 31.4 m/s^{2}

Learn more about velocity here:

brainly.com/question/18084516

#SPJ4

You might be interested in
Pls ans 10 no. From laws of motion
Vlad1618 [11]

Answer:

40N

Explanation:

Since both weights are connected to one string, you can say that the tensions above each are equal to each other.

If you do the sum of forces for the 4kg mass, then the tension comes out to 40N (if we take gravity to be 10m/s²). But that seemed too good to be true, so I decided to do the work for the 7kg mass as well [which included finding the normal force (N) and plugging it into the sum of forces for the 7kg mass] to find that it also gives 40N as the answer.

If I were to put my process into steps:

  1. Write out the sum of Forces for both masses
  2. Set them equal to each other to find normal force (because this is the only unknown)
  3. Calculate and compare the two tensions to see if they are equal

*This all seems to line up perfectly, but do let me know if my answer doesn't match up with what you might find to he the answer later on.

4 0
3 years ago
Consider a motor that exerts a constant torque of 25.0 nâ‹…m to a horizontal platform whose moment of inertia is 50.0 kgâ‹…m2. A
Crazy boy [7]

Answer:

W = 1884J

Explanation:

This question is incomplete. The original question was:

<em>Consider a motor that exerts a constant torque of 25.0 N.m to a horizontal platform whose moment of inertia is 50.0kg.m^2 . Assume that the platform is initially at rest and the torque is applied for 12.0rotations . Neglect friction. </em>

<em> How much work W does the motor do on the platform during this process?  Enter your answer in joules to four significant figures.</em>

The amount of work done by the motor is given by:

W=\Delta K

W= 1/2*I*\omega f^2-1/2*I*\omega o^2

Where I = 50kg.m^2 and ωo = rad/s. We need to calculate ωf.

By using kinematics:

\omega f^2=\omega o^2+2*\alpha*\theta

But we don't have the acceleration yet. So, we have to calculate it by making a sum of torque:

\tau=I*\alpha

\alpha=\tau/I     =>     \alpha = 0.5rad/s^2

Now we can calculate the final velocity:

\omega f = 8.68rad/s

Finally, we calculate the total work:

W= 1/2*I*\omega f^2 = 1883.56J

Since the question asked to "<em>Enter your answer in joules to four significant figures.</em>":

W = 1884J

3 0
3 years ago
Scientists take scientific measurements carefully in order to ensure that reliability and validity. What is the difference betwe
Gala2k [10]
Accuracy describes how close a measurement is to the truest value while precision shows how close the measurements are to one another when repeated analysis of the same measurements are performed. Precision most likely is free from any any variation.
7 0
3 years ago
Where are warm air vents usually located in a forced air heating system
crimeas [40]
The system is located in the HairyFunyon aka near the floor
8 0
3 years ago
Read 2 more answers
10. What is Newton's 3rd Law?
charle [14.2K]

Answer:

A. For every action there is an equal and opposite reaction.

4 0
2 years ago
Read 2 more answers
Other questions:
  • 1. Force of impact is the force ________________.
    14·1 answer
  • Suppose you saw a waxing gibbous moon. What phase would you expect one week later?
    12·1 answer
  • What does combustion mean?what clues help u detemine the meaning?
    6·2 answers
  • The greatest ocean depths on the earth are found in the marianas trench near the philippines. calculate the pressure due to the
    7·1 answer
  • In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 2.6 cm. A second project
    14·1 answer
  • A jet starts at rest at the end of a runway and reaches a speed of 80 m/s in 20 s. What is its acceleration?
    12·1 answer
  • A large dog with a mass of 30 kg chases a car at 2 m/s. What is the<br> magnitude of its momentum?
    10·1 answer
  • 100 POINTS + BRAINLIEST, HEART, &amp; FIVE STAR.
    8·1 answer
  • How can you decrease the numbers<br> of calories you consume
    13·2 answers
  • A 1000 N crate is lifted to a height of 3.0 m. How much work is done to lift the crate?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!