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
Orlov [11]
3 years ago
8

A gyroscope flywheel of radius 3.21 cm is accelerated from rest at 13.2 rad/s2 until its angular speed is 2450 rev/min.

Physics
1 answer:
SIZIF [17.4K]3 years ago
7 0

Answer:

Part a)

a_t = 0.423 m/s^2

Part b)

a_c = 2113 m/s^2

Part c)

d = 80 m

Explanation:

Part a)

as we know that angular acceleration of the wheel is given as

\alpha = 13.2 rad/s^2

now the radius of the wheel is given as

R = 3.21 cm

so the tangential acceleration is given as

a_t = R\alpha

a_t = (0.0321)(13.2)

a_t = 0.423 m/s^2

Part b)

frequency of the wheel at maximum speed is given as

f = 2450 rev/min

f = \frac{2450}{60} = 40.8 rev/s

now we know that

\omega = 2\pi f = 2\pi(40.8) = 256.56 rad/s

now radial acceleration is given as

a_c = \omega^2 r

a_c = (256.56)^2(0.0321) = 2113 m/s^2

Part c)

total angular displacement of the point on rim is given as

\Delta \theta = \omega_0 t + \frac{1}{2}\alpha t^2

here we know that

\omega = \omega_0 + \alpha t

256.56 = 0 + 13.2 t

t = 19.4 s

now angular displacement will be

\Delta \theta = 0 + \frac{1}{2}(13.2)(19.4)^2

\Delta \theta = 2493.3 rad

now the distance moved by the point on the rim is given as

d = R\theta

d = (0.0321)(2493.3)

d = 80 m

You might be interested in
German physicist Werner Heisenberg related the uncertainty of an object's position (Δx) to the uncertainty in its velocity (Δ???
fredd [130]

Answer:

\Delta x = 5.47 \times 10^{-9} m

Explanation:

As we know by the principle of uncertainty that the product of uncertainty in position and uncertainty in momentum is given as

\Delta x \times \Delta P = \frac{h}{4\pi}

so here we know that

\Delta v = 0.01 \times 10^6 m/s

m = 9.11 \times 10^{-31} kg

so we have

\Delta x \times (9.11 \times 10^{-31})(0.01 \times 10^6) = \frac{6.26 \times 10^{-34}}{4\pi}

\Delta x = 5.47 \times 10^{-9} m

5 0
3 years ago
Scheduling comes before sequencing. In scheduling, we develop plans for our work centers where production activities occur. We l
ser-zykov [4K]

Answer: 89

Explanation:

4 0
3 years ago
An experimental tungsten light bulb filament has a length of 5 cm and a diameter of 0.074 cm. The filament is basically just a w
adell [148]

Answer:

power emitted is 1.75 W

Explanation:

given data

length l = 5 cm = 5 ×10^{-2} m

diameter d = 0.074 cm = 74 ×10^{-5} m

total filament emissivity = 0.300

temperature = 3068 K

to find out

power emitted

solution

we find first area that is π×d×L

area = π×d×L

area = π×74 ×10^{-5}×5 ×10^{-2}

area = 1162.3892  ×10^{-5} m²

so here power emitted  is express as

power emitted  = E × σ × area × (temperature)^4

put here all value

power emitted  = 0.300× 5.67 × 1162.3892  ×10^{-5}  × (3068)^4

power emitted = 1.75 W

5 0
3 years ago
The pupil of the human eye can vary in diameter from 2.00 mm in bright light to 8.00 mm in dim light. The eye has a focal length
Zarrin [17]

The indicated data are of clear understanding for the development of Airy's theory. In optics this phenomenon is described as an optical phenomenon in which The Light, due to its undulatory nature, tends to diffract when it passes through a circular opening.

The formula used for the radius of the Airy disk is given by,

y_r=1.22\frac{\lambda f}{d}

Where,

y_r = Range of the radius

\lambda = wavelength

f= focal length

Our values are given by,

State 1:

d=2.00mm = 2*10^{-3}m

f= 25mm = 25*10^{-3}m

\lambda = 750nm = 750*10^{-9}m

State 2:

d=8.00mm = 8*10^{-3}m

f= 25mm = 25*10^{-3}m

\lambda = 390nm = 390*10^{-9}

Replacing in the first equation we have:

y_{r1} = 1.22\frac{(750*10^{-9})(25*10^{-3})}{2*10^{-3}}

y_{r1}= 11.4\mu m

And also for,

y_{r2} =1.22\frac{(390*10^{-9})(25*10^{-3})}{8*10^{-3}}

y_{r2} = 1.49\mu m

Therefor, the airy disk radius ranges from 1.49\mu m to 11.4\mu m

7 0
3 years ago
Why is the following situation impossible? A skater glides along a circular path. She defines a certain point on the circle as h
Arturiano [62]

Answer:

A skater glides along a circular path. She defines a certain point on the circle as her origin. Later on, she passes through a point at which the distance she has traveled along the path from the origin is smaller than the magnitude of her displacement vector from the origin.

So here in circular motion of the skater we can see that the total path length of the skater is along the arc of the circle while we can say that displacement is defined as the shortest distance between initial and final position of the object.

So it is not possible in any circle that arc-length is less than the chord joining the two points on the circle

As we know that arc length is given as

L = R\theta

length of chord is given as

L_c = 2Rsin(\frac{\theta}{2})

so here

L > L_c

R\theta > 2R sin(\frac{\theta}{2})

so we have

\frac{\theta}{2} > sin(\frac{\theta}{2})

6 0
2 years ago
Other questions:
  • A submarine sends a signal and receives an echo after 5 seconds. Calculate the speed of sound if distance of object from submari
    15·2 answers
  • A balloon contains 2.3 mol of helium at 1.0 atm , initially at 240 ∘C. What's the initial volume? What's the volume after the ga
    7·1 answer
  • Rasheed runs a football 10 meters east, turns and runs the football 6 meters west. If his velocity during this run is found to b
    9·2 answers
  • In a lunar eclipse, does the Moon enter the shadow of Earth from the east or west side? Explain.
    15·2 answers
  • R = (2+2+1) i - (t+1)] + t3 k<br> what is the direction of initial velocity
    13·1 answer
  • How much work do you do on a 15 N book in lifting it straight up for a distance of<br> 0.40 meters?
    14·1 answer
  • John pushes his brother Danny on a skateboard. John applies a force of 29 N and Danny's acceleration is 0.4 m/s
    13·2 answers
  • What lasts longer and why?: A solar eclipse or a lunar eclipse?
    11·1 answer
  • In an early attempt to understand atomic structure, Niels Bohr modeled the hydrogen atom as an electron in uniform circular moti
    9·1 answer
  • During a baseball game, a batter hits a high pop-up. if the ball remains in the air for a total of 6.0 s, how high does it rise?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!