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
Umnica [9.8K]
3 years ago
10

A rotating object starts from rest at t = 0 s and has a constant angular acceleration. At a time of t = 2.5 s the object has an

angular displacement of 13 rad. What is its displacement θ at a time of t = 5.0 s?
Physics
2 answers:
Anarel [89]3 years ago
8 0

Answer:

\theta = 52 rads

Explanation:

The rotational kinetic equation is given by the formula:

\theta = w_{0} t + 0.5 \alpha t^{2}..............(1)

The object is starting from rest, angular speed, w = 0 rad/s

At t = 2.5 sec, angular displacement, θ = 13 rad

Inserting these parameters into equation (1)

13 = (0 *  2.5) + 0.5 \alpha 2.5^{2}\\\alpha = \frac{13}{3.125} \\\alpha = 4.16 rad/s^{2}

At time, t = 5.0 sec, we substitute the value of \alpha into the kinematic equation in (1)

\theta = (0*5) + 0.5 *4.16* 5^{2}\\\theta = 52 rad

Evgesh-ka [11]3 years ago
6 0

Answer:

52 rad

Explanation:

Using

Ф = ω't +1/2αt²................... Equation 1

Where Ф = angular displacement of the object, t = time, ω' = initial angular velocity, α = angular acceleration.

Since the object states from rest, ω' = 0 rad/s.

Therefore,

Ф = 1/2αt²................ Equation 2

make α the subject of the equation

α = 2Ф/t².................. Equation 3

Given: Ф = 13 rad, t = 2.5 s

Substitute into equation 3

α = 2(13)/2.5²

α = 26/2.5

α = 4.16 rad/s².

using equation 2,

Ф = 1/2αt²

Given: t = 5 s, α = 4.16 rad/s²

Substitute into equation 2

Ф = 1/2(4.16)(5²)

Ф = 52 rad.

You might be interested in
What is the definition of a volt in science?
OverLord2011 [107]
<span> One </span>volt<span> is </span>defined<span> as the difference in electric potential between two points of a conducting wire when an electric current of one ampere dissipates one watt of power between those points.</span>
4 0
3 years ago
If a sound waves frequency is 100Hz. what is its period
agasfer [191]

Period = (1/frequency) .

If frequency is 100 per second, then

     Period = (1) / (100 per second)  =  0.01 second .

4 0
3 years ago
A boat leaves the dock at t = 0.00 s and, starting from rest, maintains a constant acceleration of (0.461 m/s2)i relative to the
liberstina [14]

Answer:

At t=4.82 s, the boat is moving at 3.464 m/s.

At t=4.82 s, the boat is 13.112 m from the dock.

Explanation:

The speed of the boat in j'th direction remains constant for all times (vj=2.16 m/s), however, the speed in i'th direction is changing due to the constant acceleration (0.461 m/s^2)i.

In order to find the velocity of the boat a t=4.82 s, first we need to compute the velocity of the boat relative to the water in the i direction (vi_b) at t=4.82 s:

vi_b = a*t = (0.461 m/s^2)*(4.82 s) = 2.222 m/s

Now, we add this velocity to the velocity of the water in the i direction:

vi = vi_b + vi_w = 2.222 m/s + 0.486 m/s = 2.708 m/s

Therefore, the speed of the boat at t = 4.82 s is: v = (vi, vj) = (2.708, 2.16) m/s. Finally, to find its speed, we just calculate the magnitude of v and obtain that the speed is: 3.464 m/s.

For the second question, first we will find the distance that the boat moved in the i'th direction and then in the j'th direction.

The speed in the i'th direction, for all times, is given by:

(0.485 + 0.461*t) and in order to find the distance advanced in the i'th direction (di) during 4.82 s, we need to integrate this velocity:

di = 0.485*t + (0.461*t^2)/2 (evaluated from t=0 to t =4.82) = 0.485*(4.82) + (0.461*(4.82)^2)/2 = 2.337 + 5.634 = 7.971 m

The speed in j'th direction, for all times, is given by:

2.16 and in order to find the distance advanced in the j'th direction (dj) during 4.82 s, we need to integrate this velocity:

dj = 2.16*t (evaluated from t=0 to t =4.82) = (2.16)*(4.82) = 10.411 m

Using Pythagoras' Theorem, we find that the the boat is at 13.112 m from the dock at t = 4.82 s.

4 0
3 years ago
Which element easily loses one electron to form a positive ion?
olga nikolaevna [1]

Answer/Explanation: As mentioned above, the characteristic chemical property of a metal atom is to lose one or more of its electrons to form a positive ion. However, certain metals lose electrons much more readily than others. In particular, cesium (Cs) can give up its valence electron more easily than can lithium (Li).

-Bababooeyboy

5 0
3 years ago
Is radioactivity on the Earth something relatively new?
luda_lava [24]

naturally occurring radioactive elements have been around since the Earth's formation


3 0
3 years ago
Other questions:
  • The atomic mass of an element is
    15·1 answer
  • Light bulb is connected to a 110-V source. What is the resistance of this bulb if it is a 100-W bulb
    12·1 answer
  • In an experiment, a ringing bell is placed in a vacuum jar that does not have any air in it. What best describes why the bell is
    15·2 answers
  • 18. A circuit contains a 10 ohm resistor, a 50 ohm resistor, and an 80 ohm resistor connected in parallel. If you test this circ
    14·1 answer
  • As gravity continues to crush the inner core, the fusion of carbon and oxygen begins. What temperature is needed for the fusion
    9·1 answer
  • A torque of 50 Nm is applied to a grinding wheel with moment of inertia 20 kg m2 for 10 s. If it starts from rest, what is the a
    7·1 answer
  • Do you think ill look better in a french braid or a bun for a figure skating show.
    9·2 answers
  • What force resists the motion of an object moving through a fluid?
    15·2 answers
  • Which of the following has the greatest number of particles A) 1 mole of Na B)22.990g of Na C) 1 mole of Be D) 9.012 g of Be E)
    11·2 answers
  • 0.0010 kg pellet is fired at a speed of 52.2 m/s at a motionless 3.3 kg piece of balsa wood. When the pellet
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!