Physics, 29.10.2019 21:31 atirahmalik2425

Dario, a prep cook at an italian restaurant, spins a salad spinner and observes that it rotates 20.0 times in 5.00 seconds and then stops spinning it. the salad spinner rotates 6.00 more times before it comes to rest. assume that the spinner slows down with constant angular acceleration.

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Answer from: bradleycawley02

(a). The acceleration is 8.3 rad/s².

(b). The time is 3.0 sec.

Explanation:

Given that,

Rotation = 20.0 times

Time = 5.00 sec

We need to calculate the angular frequency

Using formula of angular frequency

$\omega_{i}=20\times\dfrac{2\pi}{T}$

put the value into the formula

$\omega_{i}=20\times\dfrac{2\pi}{5.00}$

$\omega_{i}=8.00\pi$

We need to calculate the angular displacement

Using formula of angular displacement

$\theta=6\times2\pi=12\pi$

We need to calculate the angular acceleration

Using equation of angular motion

$\omega_{f}^2-\omega_{i}^2=2\alpha\times\theta$

$0-64\pi^2=2\times12\pi\times\alpha$

$\alpha=-\dfrac{64\pi^2}{24\pi}$

$\alpha=-8.3\ rad/s^2$

Negative sign shows the opposite direction of the motion.

The acceleration is 8.3 rad/s².

We need to calculate the time

Using equation of angular motion

$\omega_{f}-\omega_{i}=\alpha\times t$

$0-8\pi=-8.3t$

$t=\dfrac{8\pi}{8.3}$

$t=3.0\ sec$

The time is 3.0 sec.

Hence, (a). The acceleration is 8.3 rad/s².

(b). The time is 3.0 sec.

Answer from: maleah12x

This question is incomplete. The complete question asks for the angular acceleration. This question can be solved by using the equations of motion for angular motion.

The angular acceleration of the salad spinner is "- 1.33 rev/s²".

We will use the third equation of motion to find out the angular acceleration of the salad spinner:

$2\ \alpha\ \theta = \omega_f^2-\omega_i^2\\\\$

where,

$\alpha$ = angular acceleration = ?

$\theta$ = angular displacement = 6 rev

$\omega_f$ = final angular speed = 0 rev/s

$\omega_i$ = initial angular speed = $\frac{20\ rev}{5\ s}$ = 4 rev/s

Therefore,

$2\alpha(6\ rev)=(0\ rev/s)^2-(4\ rev/s)^2\\\\\alpha = -\frac{16\ rev^2/s^2}{12\ rev}$

α = - 1.333 rev/s²

negative sign shows deceleration here.

Learn more about the angular motion here:

link

The attached picture illustrates the equations of motion for angular motion.

Dario, a prep cook at an italian restaurant, spins a salad spinner and observes that it rotates 20.0

Answer from: Quest

What even is this. where is the question

Answer from: Quest

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.

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Dario, a prep cook at an italian restaurant, spins a salad spinner and observes that it rotates 20.0...