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
Anuta_ua [19.1K]
3 years ago
6

f the magnitude of the acceleration of a propeller blade's tip exceeds a certain value amaxamax, the blade tip will fracture. If

the propeller has radius rr, is initially at rest, and has angular acceleration of magnitude αα, at what angular speed ωω will the blade tip fracture? Express your answer in terms of the variables amaxamaxa_max, rrr, and ααalpha.
Physics
1 answer:
Luden [163]3 years ago
3 0

Answer:

The angular velocity is   w= \sqrt[4]{\frac{a_{max}^2}{r^2}  - \alpha ^2}      

Explanation:

Generally the acceleration experienced by the propeller blade's is broken down into

          The Radial acceleration which is mathematically represented as

                              a_r = \frac{v^2}{r}  = w^2r

And the Tangential  acceleration which is mathematically represented as

                                a_r = \alpha r

  The net acceleration is evaluated as

                      a = \sqrt{a_r^2 + a_t^2}

       

Now since angular speed varies directly with angular acceleration so when acceleration is maximum the angular velocity is maximum also and this point if the propeller blade's tip exceeds it the blade would fracture

                 

So at maximum angular acceleration we a have

             a_{max} = \sqrt{a_r^2 + a_t^2}

                     a_{max}^2 = a_r^2 + a_t^2

                    a_{max}^2 = (w^2r)^2 + (\alpha r)^2

                 a_{max}^2 =  r^2 w^4 + r^2 \alpha ^2

                  a_{max}^2 = r^2 (w^4 + \alpha^2 )

                w^4 +\alpha ^2 = \frac{a_{max}^2}{r^2}

                         w^4 = \frac{a_{max}^2}{r^2}  - \alpha ^2

                         w= \sqrt[4]{\frac{a_{max}^2}{r^2}  - \alpha ^2}        

                     

You might be interested in
One way to improve food security is to avoid food spoilage. Identify the correct ways that Devon reduced food spoilage in the pa
quester [9]

The correct answer would be "He brought one serving to his neighbor's house, and stored the other two servings in the refrigerator. Devon ate one more serving or spaghetti the following day."

3 0
3 years ago
Read 2 more answers
How loudness of a sound wave depends on the intensity of the sound wave?
Anestetic [448]
Loudness of a sound wave is directly proportional to the intensity of the sound wave. In other words, when one increases, other also increases and vice-versa

Hope this helps!
3 0
3 years ago
A bag of ice cubes absorbs 149,000 J of heat, which causes its temperature to increase by 5.23 degrees celsius. what is the mass
Dima020 [189]

Answer:

14.3kg

Explanation:

Given parameters:

Quantity of heat = 149000J

Change in temperature = 5.23°C

specific heat of the ice = 2000J/kg°C

Unknown:

Mass of the ice in the bag = ?

Solution:

The heat capacity of a substance is given as:

            H = m c Ф

H is the heat capacity

m is the mass

c is the specific heat

Ф is the temperature change;

  since m is the unknown, we make it the subject of the expression;

                    m = H/ mФ

                  m = \frac{149000}{2000 x 5.23}  = 14.3kg

6 0
3 years ago
HELP!!! HURRY!!!!! 100 POINTS!!!!!!!!!
bagirrra123 [75]

what happens at Point C is sublimation. the increase in temperature affects the Vapour pressure soon as you can see the curve is increasing with increasing pressure there is increase in temperature that is the sublimation Curve

7 0
2 years ago
Read 2 more answers
A soldier throws a grenade horizontally from the top of a cliff. Which of the following curves best describes the path taken by
Natasha_Volkova [10]

Answer:

4. Parabola

Explanation:

The motion of the flight of the grenade is a projectile motion, it's shape is best illustrated using a parabolic diagram.

It's not a circle as the path is not totally round.

It's not an ellipse as the path of motion is not a a completely bounded shape.

Its not a hyperbola as a hyperbola is an open curve with two branches.

Its a parabolic shape because a parabola has just one branch

7 0
3 years ago
Other questions:
  • What makes silver and gold different by using the terms atom and element
    8·1 answer
  • janis lives 1.10 km away from the grocery store. janis walks to the grocery store and back three times a week. what is the total
    15·1 answer
  • The resolution of a microscope describes the scale of the smallest detail that is clearly observable through the microscope. For
    10·1 answer
  • A box is pushed 40 m by a mover. The amount of work done was 2,240 j. How much force was exerted on the box
    15·1 answer
  • Which diagram best represents the field around a positively charged particle?
    7·1 answer
  • What is the abbreviation for the SI unit for electric potential?<br> V<br> J<br> C<br> U
    13·1 answer
  • a toy car travels from A to B at constant speed 30km/hr and without stopping at B return A at constant speed v. if the average s
    8·1 answer
  • Which image shows an example of the strong nuclear force in action?
    14·1 answer
  • WOODHAVEN MI AND SAGINAW MI
    13·2 answers
  • How would the period of pendulum differ from an equivalent one on earth?<br>​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!