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
g100num [7]
3 years ago
5

A fan rotating with an initial angular velocity of 1500 rev/min is switched off. In 2.5 seconds, the angular velocity decreases

to 400 rev/min. Assuming the angular acceleration is constant, answer the following questions.
How many revolutions does the blade undergo during this time?
A) 10
B) 20
C) 100
D) 125
E) 1200
Physics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

<u>The blade undergoes 40 revolutions, so neither of the given options is correct! </u>

Explanation:

The revolutions can be found using the following equation:

\theta_{f} = \theta_{i} + \omega_{i}*t + \frac{1}{2}\alpha*t^{2}

Where:

α is the angular acceleration

t is the time = 2.5 s

\omega_{i} is the initial angular velocity = 1500 rev/min                

First, we need to find the angular acceleration:

\alpha = \frac{\omega_{f} - \omega_{i}}{t} = \frac{400 rev/min*2\pi rad*1 min/60 s - 1500 rev/min *2\pi rad*1 min/60 s}{2.5 s} = -46.08 rad/s^{2}

Now, the revolutions that the blade undergo are:

\theta_{f} - \theta_{i} = \omega_{i}*t + \frac{1}{2}\alpha*t^{2}

\Delta \theta = 1500 rev/min *2\pi rad*1 min/60 s*2.5 s - \frac{1}{2}*(46.08 rad/s^{2})*(2.5)^{2} = 248.7 rad = 39.9 rev        

<u>Therefore, the blade undergoes 40 revolutions, so neither of the given options is correct! </u>

I hope it helps you!                              

You might be interested in
Please answer this fast
Natali5045456 [20]

the answer choice will be A because they travel at the same speed through only light not one material.

3 0
2 years ago
Read 2 more answers
The formula of force is newton and​
Arlecino [84]

Answer:

The formula for calculating force is F= Mass × Acceleration

Explanation:

Newton is what force is measured in

8 0
3 years ago
A truck accelerates from a stop to 27m/sec in 9 minutes. What was the trucks acceleration?
olchik [2.2K]
The acceleration is 3 m/s per minute, or 0.05 m/s per second.
5 0
3 years ago
PLEASE HELP! thxssss<br>​
Cerrena [4.2K]

Answer:

D is correct

Explanation:

5 0
2 years ago
Place the tiles in the correct order to describe how a nuclear power plant generates power.
fgiga [73]

Your order is correct here.

4 0
3 years ago
Read 2 more answers
Other questions:
  • a 40 kilogramstudent runs up a staircase to a floor that is 5.0 meters higher than her starting point in 7.0 seconds. the studen
    10·1 answer
  • Which of the following will cause an increase in gas pressure in a closed container?
    12·2 answers
  • Which property do gas particles at the same temperature share?
    8·2 answers
  • Humans first traveled to the Moon in a spacecraft in 1969. What happened as the spacecraft traveled farther from Earth?
    14·2 answers
  • PLZZ I WILL DO ANY THING
    13·1 answer
  • A block with a mass of 1kg moving at a velocity of 3m/s collides and sticks to a block of mass of 4kg initially at rest. What is
    15·1 answer
  • How can i prove the conservation of mechanical energy?​
    9·1 answer
  • M nbfgvfdifytdffxtrg ftdfgj
    15·2 answers
  • Idetify 5 types of kitchen tool Whrite the difinition of each tool.​
    15·1 answer
  • Anya has 115 mangoes lauren has five times the the number of mangoes Anya has they put them together and sold them in the market
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!