Balanced forces acting on an object

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 1.00 s, it rotates 21.0 rad. Du

ELEN [110]

With constant angular acceleration $\alpha$ , the disk achieves an angular velocity $\omega$ at time $t$ according to

$\omega=\alpha t$

and angular displacement $\theta$ according to

$\theta=\dfrac12\alpha t^2$

a. So after 1.00 s, having rotated 21.0 rad, it must have undergone an acceleration of

$21.0\,\mathrm{rad}=\dfrac12\alpha(1.00\,\mathrm s)^2\implies\alpha=42.0\dfrac{\rm rad}{\mathrm s^2}$

b. Under constant acceleration, the average angular velocity is equivalent to

$\omega_{\rm avg}=\dfrac{\omega_f+\omega_i}2$

where $\omega_f$ and $\omega_i$ are the final and initial angular velocities, respectively. Then

$\omega_{\rm avg}=\dfrac{\left(42.0\frac{\rm rad}{\mathrm s^2}\right)(1.00\,\mathrm s)}2=42.0\dfrac{\rm rad}{\rm s}$

c. After 1.00 s, the disk has instantaneous angular velocity

$\omega=\left(42.0\dfrac{\rm rad}{\mathrm s^2}\right)(1.00\,\mathrm s)=42.0\dfrac{\rm rad}{\rm s}$

d. During the next 1.00 s, the disk will start moving with the angular velocity $\omega_0$ equal to the one found in part (c). Ignoring the 21.0 rad it had rotated in the first 1.00 s interval, the disk will rotate by angle $\theta$ according to

$\theta=\omega_0t+\dfrac12\alpha t^2$

which would be equal to

$\theta=\left(42.0\dfrac{\rm rad}{\rm s}\right)(1.00\,\mathrm s)+\dfrac12\left(42.0\dfrac{\rm rad}{\mathrm s^2}\right)(1.00\,\mathrm s)^2=63.0\,\mathrm{rad}$

5 0

3 years ago

Which statement best describes the formation of igneous rocks?

Cerrena [4.2K]

b. describes it best because a form of molten cools down and makes igneous rock. Good luck! Please mark me brainliest!

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3 years ago

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The breaking in (blank) bonds in food releases energy for your body to use

kicyunya [14]

Answer:

The breaking in <em>molecular</em> bonds in food releases energy for your body to use.

5 0

2 years ago

A sample of chloroform is found to contain 12.0 g of carbon, 106.4 g of chlorine, and 1.01 g of hydrogen. If a second sample of

GREYUIT [131]

Given:

Sample 1:

Chloroform is $CHCl_{3}$

12 g Carbon

1.01 g Hydrogen

106.4 g Cl

Sample 2:

30.0 g of Carbon

Solution:

mass of chloroform from sample 1:

12 + 1.01 +106.4 =119.41 g

Now, for the total mass of chloroform in sample 2:

mass of chloroform $\times$ $\frac{given mass of carbon}{mass of carbon atom}$

mass of chloroform = 119.41 $\times$ $\frac{30}{12}$ = 298.53 g

6 0

3 years ago

QUESTION: A study group of students is reviewing claims in an article that gamma rays are among the most dangerous type of elect

Lubov Fominskaja [6]

B

Bias is an inclination towards one way of thinking due to inherent factors in our environment, such as how one was brought up.

Explanation:

In science, biases, conscious or unconscious, tend to make experiments’ results to incline in particular way rather than being impartial. Peer- review of scientific journals by the scientific community is meant to be a quality assurance measure to detect such biases. The students should check reviews of the scientific community on the article and see if any biases have been pointed out. Probably the institution that the scientist works for is in competition with another institution that deals with gamma rays.

Learn More:

brainly.com/question/1903490

brainly.com/question/8480257

#LearnWithBrainly

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3 years ago

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