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Zarrin [17]
4 years ago
6

A wheel rotating with a constant angular acceleration turns through 19 revolutions during a 3 s time interval. Its angular veloc

ity at the end of this interval is 18 rad/s. What is the angular acceleration of the wheel? Note that the initial angular velocity is not zero. Answer in units of rad/s 2 .
Physics
1 answer:
Elanso [62]4 years ago
6 0

Answer:

- 14.5 rad/s^2

Explanation:

n = 19

θ = 2 x 3.14 x 19 = 119.32 rad

t = 3 s, ω = 18 rad /s , ω0 = ?,

Let α be the angular acceleration.

Use First equation of motion for rotational motion

ω = ω0 + α t

18 = ω0 + α x 3

ω0 = 18 - 3α .....(1)

Use second equation of motion for rotational motion

θ = ω0 t + 1/2 x α x t^2

Put the value of ω0 = 18 - 3α from equation (1)

119.32 = (18 - 3α) x 3 + 1/2 x α x 9

119.32 - 54 = - 4.5 α

α = - 14.5 rad/s^2

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5 0
3 years ago
I need a bit of help on this one, can anyone answer?
emmainna [20.7K]

Potential energy = m · g · h

-- When you held the ball at 2.0 meters above the floor, it had

(0.5 kg) · (9.8 m/s²) · (2.0 m) = 9.8 Joules of potential energy.

-- After it bounced and went back up as high as it could, it was only 1.8 meters above the floor.  Its potential energy was

(0.5 kg) · (9.8 m/s²) · (1.8 m) = 8.82 Joules

-- Between the drop and the top of the bounce, it lost

(9.8 - 8.82) = <em>0.98 Joule</em> .

-- The energy was lost when the ball hit the floor.  During the hit, 0.98 joule of kinetic energy turned to <em>thermal energy</em>, which slightly heated the ball and the floor.

5 0
3 years ago
A car can go from 0.0 m/s to 100m/s in 6 seconds. What is the acceleration
Mama L [17]

Answer:

100-0 / 6 = 16.66 m/s

Explanation:

acceleration = vf-vi / time

vf= 100m/s

vi= 0 m/s

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7 0
3 years ago
The flagpole is held vertical by two ropes. The first of these ropes has a tension in it of 100 N and is at an angle of 60° to t
KatRina [158]

Answer:

T₂ = 123.9 N,  θ = 66.2º

Explanation:

To solve this exercise we use the law of equilibrium, since the diaphragm does not appear, let's use the adjoint to see the forces in the system.

The tension T1 = 100 N, we create a reference frame centered on the pole

X axis

       T₁ₓ - T_{2x} = 0

        T_{2x}= T₁ₓ

Y axis y

      T_{1y} + T_{2y} - 200N = 0

      T_{2y} = 200 -T_{1y}

let's use trigonometry to find the component of the stresses

         sin 60 = T_{1y} / T₁

         cos 60 = t₁ₓ / T₁

         T_{1y} = T₁ sin 60

         T1x = T₁ cos 60

         T_{1y}y = 100 sin 60 = 86.6 N

         T₁ₓ = 100 cos 60 = 50 N

for voltage 2 it is done in the same way

         T_{2y} = T₂ sin θ

         T₂ₓ = T₂ cos θ

we substitute

         

           T₂ sin θ= 200 - 86.6 = 113.4

           T₂ cos θ = 50              (1)

to solve the system we divide the two equations

           tan θ = 113.4 / 50

           θ = tan⁻¹ 2,268

           θ = 66.2º

we caption in equation 1

           T₂ cos 66.2 = 50

           T₂ = 50 / cos 66.2

           T₂ = 123.9 N

8 0
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Sonbull [250]

A <u>natural gas power plant</u> is a location that would focus its use on a non-renewable energy source.

<h3>What is non-renewable energy?</h3>

A non-renewable energy can be defined as an energy source that takes a very long time to be created or their creation happened long ago and isn't likely to happen again. Also, it is a type of energy source that is inexhaustible and irreplaceable.

<h3>The examples of non-renewable energy.</h3>

Some examples of non-renewable energy include the following:

  • Fossil fuel
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  • Crude oil
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In conclusion, a <u>natural gas</u><u> power plant</u> is a location that would focus its use on a non-renewable energy source.

Learn more about non-renewable energy here: brainly.com/question/26237167

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