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Sunny_sXe [5.5K]
3 years ago
13

The initial angular velocity of a ceiling fan is 6.28 rad/s. It accelerates uniformly to 3.14 rad/s in 4.0 s. What is the angula

r acceleration?
Physics
2 answers:
Talja [164]3 years ago
5 0

Answer: 18.84 rad/s

Explanation:

V = u + at

V = 6.28 + (3.14 x 4 )

V = 18.84 rad/s

mojhsa [17]3 years ago
5 0

<u>Answer:</u> The angular acceleration of the fan is -0.79rad/s^2

<u>Explanation:</u>

To calculate the angular acceleration of the fan, we use first equation of motion:

v=u+at

where,

v = final angular velocity of the fan = 3.14 rad/s

u = initial angular velocity of the fan = 6.28 rad/s

a = angular acceleration of the fan = ?

t = time = 4.0 sec

Putting values in above equation, we get:

3.14=6.28+(a\times 4.1)\\\\a=\frac{3.14-6.28}{4.0}\\\\a=-0.79rad/s^2

Hence, the angular acceleration of the fan is -0.79rad/s^2

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Mary is an avid game show fan and one of the contestants on a popular game show. She spins the wheel, and after 5.5 revolutions,
spin [16.1K]

Answer:

The angle is 23.2 radians, equivalent to 3.69 revolutions.

Explanation:

First, we need to find the angular acceleration of the wheel. This can be done using one of the kinematic formulas:

\omega^{2}=\omega_0^{2}+2\alpha\theta\\\\\implies \alpha=\frac{\omega^{2}-\omega_0^{2}}{2\theta}

Since the final angular velocity is zero after 5.5 revolutions (equivalent to 11π radians) we have that:

\alpha=\frac{-(3.15rad/s)^{2}}{2(11\pi rad)}\\\\\alpha=-0.144rad/s^{2}

Now, using the same equation, we can solve for the requested angle:

\theta=\frac{\omega^{2}-\omega_0^{2}}{2\alpha}\\\\\theta=\frac{(1.80rad/s)^{2}-(3.15rad/s)^{2}}{2(-0.144rad/s^{2})}\\\\\theta=23.2rad

Finally, it means that the angle through which the wheel has turned when the angular speed reaches 1.80 rad/s is 23.2 radians, equivalent to 3.69 revolutions.

8 0
3 years ago
When blue light of wavelength 460 nm falls on a single slit, the first dark bands on either side of center are separated by 45.0
lyudmila [28]

Answer:

width of slit =1.23× 10⁻⁶ m  

Explanation:

we know the condition of diffraction minima,

d sin θ = n λ

λ = wavelength     θ = angle between the central maxima and 1st  minima

d = slit width

for first minima  n = 1

now,

d =\dfrac{n \lambda}{sin \theta}

\theta = \dfrac{45^0}{2} = 22.5^0

d =\dfrac{1\times 460 \times 10^{-9}}{sin 22.5^0}

d = 1228 × 10⁻⁹ m  = 1.228× 10⁻⁶ m

d =  1.23× 10⁻⁶ m

width of slit =1.23× 10⁻⁶ m  

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3 years ago
In general, which type of planet would you expect to cause the largest doppler shift in the spectrum of its star?.
PilotLPTM [1.2K]

A giant (massive) planet close to the star is expected to cause the largest Doppler shift in the star's spectrum.

<h3>What is the Doppler Shift Method for Detecting Exoplanets?</h3>
  • Doppler spectroscopy is used to capture periodic velocity shifts in stellar spectra caused by orbiting giant planets. (This method is also known as the radial velocity method.)
  • The Doppler method, which is most commonly used to find exoplanets, is most suitable to look for very massive planets orbiting near their parent stars
<h3>What does the Doppler method tell us about planets? </h3>

The Doppler shift data can tell us something about the mass of the planet and the shape of its orbit. Since the Doppler shift only knows how fast it approaches and moves away from Earth, it is not possible to determine the exact mass of the planet without knowing the inclination of its orbit. Doppler data give a lower bound on mass.

To learn more about Doppler shift visit:

brainly.com/question/29022708

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8 0
1 year ago
The smallest unit which maintains the physical properties of a compound is a(n) _____.
Elodia [21]
A molecule, would be the correct answer
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3 years ago
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12. Unmanned Space Probe A 2500 kg unmanned space probe is moving in a straight line at a constant speed of 300 m/s. Control roc
Lena [83]

answer of both parts are attached below



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4 years ago
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