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tensa zangetsu [6.8K]
4 years ago
10

An automobile engineer is revising a design for a conical chamber that was originally specified to be 12 inches long with a circ

ular base diameter of 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5. What is the volume of the revised chamber? Round your answer to two decimal places.
Physics
1 answer:
Sidana [21]4 years ago
4 0
The volume of the cylinder is: 
V= pi* (r^2) * h. 

So the volume is = pi * (5.7/2)^2 * 12 = 306.2 in^2. 
Since it is scaled up by the factor of 1.5, so we have to multiply each dimension with 1.5. 
That means the diameter will be 8.55 and the height will be 18. so the scaled up volume will be

=pi * ((5.7*1.5)/2)^2 * (12*1.5)

The answer then would have to be 1033.5


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A circle has an initial radius of 50ft when the radius begins decreasing at a rate of 2ft/s. what is the rate of change of the a
valkas [14]
The area of the circle with radius r is
A = πr²

The rate of change of area with respect to time is
\frac{dA}{dt} = \frac{dA}{dr} . \frac{dr}{dt} =2 \pi r. \frac{dr}{dt}

The rate of change of the radius is given as
\frac{dr}{dt} =-2 \,  \frac{ft}{s}
Therefore
\frac{dA}{dt} =-4 \pi r \,  \frac{ft^{2}}{s}

When r = 10 ft, obtain
\frac{dA}{dt}|_{r=10 \, ft} = -40 \pi  \,  \frac{ft^{2}}{s}

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7 0
4 years ago
Aaden has decided to break up with his significant other. He has gone over what he is going to say, but can not decide where to
kow [346]

Answer:

The correct answer is: b. Channel

Explanation:

The Communication Process Model (CPM) is a model that describes the steps through which effective exchange of information takes place from the  sender of a message to the receiver(s) of the message. (Refer to attached image)

The CPM includes the following steps:

1. Noise- reducing physical/ physiological distractions that can impede clear communication.  

2. Communicator- the person who initiates the communication

3. Message- the information exchanged between the sender and receiver of the message

4. Feedback- How the information from the sender is received by the recipient of the communication

5. Channel- The medium by which the information is delivered from the sender to the receiver.

In this instance, when Aaden decided to have a discussion with his significant other in his home using face-to-face communication, he is deciding on the channel or medium through which the communication will this place. By choosing face-to-face communication at his home, Aaden has determined what he believes is the most appropriate context for the conversation with his significant other, given the sensitive nature of the topic. In this way, Aaden has selected a channel of communication.

8 0
4 years ago
A ball rolling down a hill was displaced 21.9 m while uniformly accelerating from rest. If the final velocity was 7.14 m/s, what
belka [17]

Answer:

a = 1.16 m/s²

Explanation:

In order to find the acceleration of the ball we will use 3rd equation of motion.

2as = Vf² - Vi²

where,

a = acceleration = ?

s = displacement = 21.9 m

Vf = Final Velocity = 7.14 m/s

Vi = Initial Velocity = 0 m/s (Since, ball starts from rest)

Therefore, using the values, we get:

2a(21.9 m) = (7.14 m/s)² - (0 m/s)²

a = (50.97 m²/s²)/(43.8 m)

<u>a = 1.16 m/s²</u>

4 0
4 years ago
Windmills are used to convert wind energy into a more useful form. In most cases, there are three
sdas [7]
The kinetic energy of the wind ==> causes ==>
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       which is used to turn an electric generator ==>
                      which generates electrical energy.
4 0
3 years ago
If a roller coaster car had 40,000 J of gravitational potential energy when at rest on the top of a hill how much kinetic energy
Inessa [10]

Answer:

K.E = 30,000 J

Explanation:

Given,

The potential energy of the roller coaster car, P.E = 40000 J

The kinetic energy at height h/4, K.E = ?

According to the law of conservation of energy, the total energy of the system is conserved.

At height 'h', the total energy is,

                                    P.E = mgh

                                     K.E = 0

At height 'h/4', the total energy is

                                     P.E + K.E = mgh

                                     P.E = mgh/4

                                     K.E = 1/2 mv²

Therefore,

                                   mgh/4 + 1/2 mv² = mgh

                                    gh/4 + v²/2 = gh

Hence,

                                      v² = 3gh/2

Substituting in the K.E equation

                               K.E = 1/2 mv²

                                      = 1/2 m (3gh/2)

                                       = 3/4 mgh

                                        = 3/4 x 40000

                                         = 30000 J

Hence, the K.E of the roller coaster car is, K.E = 30000 J

6 0
4 years ago
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