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
hammer [34]
3 years ago
5

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 3.37 times a second. A tack is stuck in the tire a

t a distance of 0.387 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed.
Physics
2 answers:
Sergio039 [100]3 years ago
6 0

Answer:

8.195 m/s

Explanation:

A)Period is given by: T = 1/f where f is frequency. Thus,

Period of time for 1 rev = 1/3.37 = 0.2967s

Now, velocity = distance/time

Distance will be equivalent to the circumference.

Thus,

angular Velocity= Circumference of the Circle/Time; Thus,

ω = d/t = 2πr/t

r is radius and is 0.387m

Thus,

ω = 2π x 0.387/0.2967 = 8.195 m/s

zhannawk [14.2K]3 years ago
4 0

Answer:

The tangential speed of the tack is 8.19 m/s.

Explanation:

The wheel rotates 3.37 times a second that means wheel complete 3.37 revolutions in a second. Therefore, the angular speed ω of the wheel is given as follows:

\omega =3.37rev/s \times(\frac{2\pi rad}{1s} )\\\\=21.174rad/s

Use the relation of angular speed with tangential speed to find the tangential speed of the tack.

The tangential speed v of the tack is given by following expression

v = ω r

Here, r is the distance to the tack from axis of rotation.

Substitute 21.174 rad/s for ω, and 0.387 m for r in the above equation to solve for v.

v = 21.174 × 0.387

v = 8.19m/s

Thus, The tangential speed of the tack is 8.19 m/s.

You might be interested in
A planet with a mass one-half that of Earth has a radius that is 3 times that of Earth's radius. What is the gravitational field
stiv31 [10]

The gravitational acceleration of a planet is proportional to the planet's mass, and inversely proportional to square of the planet's radius.

So when you stand on the surface of this particular planet, you feel a force of gravity that is

(1/2) / (3²)

of the force that you feel on the surface of the Earth.

That's <em>(1/18)</em> as much as on Earth.

The acceleration of gravity there would be about <em>0.545 m/s²</em>.  

This is about 12% less than the gravity on Pluto.

6 0
3 years ago
A small branch is wedged under a 200 kg rock and rests on a smaller object. The smaller object is 2.0 m from the large rock and
Alexxandr [17]

Answer:

a

  F  =326.7 \ N

b

  M  = 6

Explanation:

From the question we are told that

          The mass of the rock is  m_r  =  200 \ kg

          The  length of the small object from the rock is  d  =  2 \ m

          The  length of the small object from the branch l  =  12 \ m

An image representing this lever set-up is shown on the first uploaded image

Here the small object acts as a fulcrum

The  force exerted by the weight of the rock is mathematically evaluated as

      W =  m_r *  g

substituting values

     W =   200 *  9.8

     W =   1960 \ N

 So  at  equilibrium the sum  of the moment about the fulcrum is mathematically represented as

         \sum  M_f  =  F * cos \theta *  l  -  W cos\theta  *  d =  0

Here  \theta is very small so  cos\theta  *  l  =  l

                               and  cos\theta  *  d  =  d

Hence

       F *   l  -  W  * d =  0

=>    F  = \frac{W * d}{l}

substituting values

        F  = \frac{1960 *  2}{12}

       F  =326.7 \ N

The  mechanical advantage is mathematically evaluated as

          M  = \frac{W}{F}

substituting values

        M  = \frac{1960}{326.7}

       M  = 6

6 0
3 years ago
A negative charge of 20 x 10-6C and another charge of 15 x 10-6C are separated by as distance of 0.7 m.
denpristay [2]

Answer:

Approximately 5.5\; \rm N, assuming that the volume of these two charged objects is negligible.

Explanation:

Assume that the dimensions of these two charged objects is much smaller than the distance between them. Hence, Coulomb's Law would give a good estimate of the electrostatic force between these two objects regardless of their exact shapes.

Let q_1 and q_2 denote the magnitude of two point charges (where the volume of both charged object is negligible.) In this question, q_1 = 20 \times 10^{-6}\; \rm C  and q_2 = 15 \times 10^{-6}\; \rm C.

Let r denote the distance between these two point charges. In this question, r = 0.7\; \rm m.

Let k denote the Coulomb constant. In standard units, k \approx 8.98755\times 10^{9}\; \rm kg \cdot m^{3}\cdot s^{-2}\cdot C^{-2}.

By Coulomb's Law, the magnitude of electrostatic force (electric force) between these two point charges would be:

\begin{aligned}F &= \frac{k \cdot q_1 \cdot q_2}{r^{2}}\end{aligned}.

Substitute in the values and evaluate:

\begin{aligned}F &= \frac{k \cdot q_1 \cdot q_2}{r^{2}}\\ &\approx 8.98755 \times 10^{9}\; \rm kg \cdot m^{3}\cdot s^{-2}\cdot C^{-2} \\ &\quad \times 20\times 10^{-6}\; \rm C\\ &\quad \times 15\times 10^{-6}\; \rm C \\ &\quad \times \frac{1}{{(0.7\; \rm m)}^{2}}\\ &\approx 5.5\; \rm N \end{aligned}.

8 0
3 years ago
Example of centrifugal force <br>(wrong answer will get reported)(right answer will get brainliest)​
Lera25 [3.4K]

Vehicle driving round a curve

3 0
3 years ago
If we want to describe work, we must have
tresset_1 [31]

The answer is C

Hope that helps!

Good luck :)

8 0
3 years ago
Read 2 more answers
Other questions:
  • An object on the surface of the earth has a force of gravity of 682 N. What is the objects mass?
    10·1 answer
  • What are tectonic plates, and which of Earht's layers are they composed of?
    6·1 answer
  • Many animals use scent to _____.
    9·2 answers
  • In the absence of air resistance, a ball is thrown vertically upward with a certain initial KE. When air resistane is a factor a
    9·1 answer
  • If you get a ticket for speeding, it is based on your average speed or instantaneous speed? Explain
    5·1 answer
  • Stephanie is riding her bicycle to the park. The chemical energy used to pedal the bicycle is transformed into __________.
    12·2 answers
  • Please help me i need some help!!
    5·1 answer
  • a passenger on cruise between San Juan, Puerto Rico and Miami, Florida accidentally drops a souvenir metal cube over the side of
    15·1 answer
  • When sunlight strikes the side of a building, what form of energy is it<br> transformed to?
    13·1 answer
  • 2. A science book is being pushed across a table. Can the book have a constant speed and a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!