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Tamiku [17]
3 years ago
13

in a design of a passenger bus it is proposed to derive the motive power from the energy stored in fly wheel. the fly wheel has

a moment of inertia of 400kgm2 is accelerated to its maximum rate of rotation 3000 revolutions per minute by electric motors. calculate the maximum kinetic energy which can be stored in the fly wheel
Physics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

5*10^{5} Joule

Explanation:

Total rotational kinetic energy =\frac{1}{2}*Inertia(angular speed)^{2}

(Here fly wheel may have translational kinetic energy but we ignore here)

Angular speed = 3000 revolutions per minute

Angular speed =\frac{3000}{60}=50 revolutions per second

Thus , Kinetic energy =\frac{1}{2}*400\frac{3000}{60} ^{2}

                                 = 5*10^{5} Joule

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A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is to have the actor fall on hi
tekilochka [14]

Answer:

The maximum mass that can fall on the mattress without exceeding the maximum compression distance is 16.6 kg

Explanation:

Hi there!

Due to conservation of energy, the potential energy (PE) of the mass at a height of 3.32 m will be transformed into elastic potential energy (EPE) when it falls on the mattress:

PE = EPE

m · g · h = 1/2 k · x²

Where:

m = mass.

g = acceleration due to gravity.

h = height.

k = spring constant.

x = compression distance

The maximum compression distance is 0.1289 m, then, the maximum elastic potential energy will be the following:

EPE =1/2 k · x²

EPE = 1/2 · 65144 N/m · (0.1289 m)² = 541.2 J

Then, using the equation of gravitational potential energy:

PE = m · g · h =  541.2 J

m =  541.2 J/ g · h

m = 541.2 kg · m²/s² / (9.8 m/s² · 3.32 m)

m = 16.6 kg

The maximum mass that can fall on the mattress without exceeding the maximum compression distance is 16.6 kg.

6 0
3 years ago
Which form of
Soloha48 [4]
I think it’s C b/c it works for me
3 0
3 years ago
A 22.0 kg bucket of concrete is connected over a very light frictionless pulley to a 375 N box on the roof of a building as show
Veronika [31]

Answer:

vf = 3.27[m/s]

Explanation:

In order to solve this problem we must analyze each body individually and find the respective equations. The free body diagram of each body (box and bucket) should be made, in the attached image we can see the free body diagrams and the respective equations.

With the first free body diagram, we determine that the tension T should be equal to the product of the mass of the box by the acceleration of this.

With the second free body diagram we determine another equation that relates the tension to the acceleration of the bucket and the mass of the bucket.

Then we equalize the two stress equations and we can clear the acceleration.

a = 3.58 [m/s^2]

As we know that the bucket descends 1.5 [m], this same distance is traveled by the box, as they are connected by the same rope.

x = \frac{1}{2} *a*t^{2}\\1.5 = \frac{1}{2}*(3.58) *t^{2} \\t = 0.91 [s]

And the speed can be calculated as follows:

v_{f}=v_{o}+a*t\\v_{f}=0+(3.58*0.915)\\v_{f}= 3.27[m/s]

7 0
3 years ago
Roots that grow horizontally are called
Romashka [77]
I believe they are called Rhizomes. 
8 0
4 years ago
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Jesse has 200 peanut butter cups and she gives some of them to her friend. How many peanut butter cups did she give her friend?
pychu [463]

Answer:

99 peanut butter

Explanation:

you minus 200 - 101 you get 99 peanut butter

3 0
3 years ago
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