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11111nata11111 [884]
3 years ago
13

Suppose you are taking a walk one day when you see a tree branch snap at its base and begin to rotate downward with the break ne

ar the trunk of the tree as a pivot point. You estimate the length of the branch to be about 3 meters. Estimate the initial angular acceleration of the branch in rad/s2. Can you estimate the mass of the tree branch from this information? Why or why not?

Physics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

α = 3.27 rad/s²

No

Explanation:

Given that

 L= 3 m

Lets take mass of tree = m kg

The torque to mass m =  m g .L

The mass moment of inertia of tree ,I

I = mL² kg.m²

We know that

τ = I α

 m g .L = mL² .α

α= g/L

Now by putting the value

\alpha =\dfrac{ 9.81}{ 3}\ rad/s^2

α = 3.27 rad/s²

No we can find the mass of the from the above information because angular acceleration is not depend on the mass of tree.

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A mass free to vibrate on a level, frictionless surface at the end of a horizontal spring is pulled 35 cm from its equilibrium p
saul85 [17]

Answer:

0.67 s

Explanation:

This is a simple harmonic motion (SHM).

The displacement, x, of an SHM is given by

x = A\cos(\omega t)

A is the amplitude and \omega is the angular frequency.

We could use a sine function, in which case we will include a phase angle, to indicate that the oscillation began from a non-equilibrium point. We are using the cosine function for this particular case because the oscillation began from an extreme end, which is one-quarter of a single oscillation, when measured from the equilibrium point. One-quarter of an oscillation corresponds to a phase angle of 90° or \frac{\pi}{4} radian.

From trigonometry, \sin A =\cos B if A and B are complementary.

At t = 0, x = 3.5

3.5 = A\cos(\omega \times0)

A =3.5

So

x = 3.5\cos(\omega t)

At t = 0.12, x = 1.5

1.5 = 3.5\cos(0.12\omega)

\cos(0.12\omega)=\dfrac{1.5}{3.5}=0.4286

0.12\omega =\cos^{-1}0.4286

0.12\omega = 1.13

\omega = 9.4

The period, T, is related to \omega by

T = \dfrac{2\pi}{\omega} = \dfrac{2\times3.14}{9.4}=0.67

5 0
3 years ago
A thin rod of length 0.79 m and mass 130 g is suspended freely from one end. It is pulled to one side and then allowed to swing
-Dominant- [34]

Answer:

a) 0.3965 j

b) 0.3112 m

Explanation:

The picture attached explains it all. Thank you

3 0
3 years ago
What is the flow rate of water in a pipe flowing full with an area of 0.3 m2 and velocity of 2.5 m/s?
sashaice [31]

Answer:

0.75 m³/s

Explanation:

Applying,

Q = vA.................... Equation 1

Where Q = flow rate of the water, v = velocity of the water, A = area of the pipe.

From the question,

Given: v = 2.5 m/s, A = 0.3 m²

Substitute these values into equation 1

Q = 2.5(0.3)

Q = 0.75 m³/s

Hence the flow rate of water in the pipe is 0.75 m³/s

4 0
2 years ago
Which one of the following statements is false?
emmasim [6.3K]

Answer:

d) False. If the angular momentum is zero, it implies in electro without turning, which would create a collapse towards the nucleus, so in both models the moment must be different from zero

Explanation:

Affirmations

a) true. The orbits are accurate in the Bohr model and probabilistic in quantum mechanics

b) True. If both give the same results and use the same quantum number (n)

c) True. If in angular momentum it is quantized, in the Bohr model too but it does not justify it

d) False. If the angular momentum is zero, it implies in electro without turning, which would create a collapse towards the nucleus, so in both models the moment must be different from zero

7 0
3 years ago
A car is going along a circular road at a constant speed. The radius of the curve is 242 m, and the car takes 1.3 minutes to com
Dvinal [7]

Answer:

a_c=1.57\frac{m}{s^2}

Explanation:

In order to find its centripetal acceleration we need to use the next equation:

a_c=\frac{v^2}{r}

So, we need to find its velocity in first place. Considering that the time T required for one complete revolution is called the period. For  constant speed is given by:

T=\frac{2\pi r}{v}

Solving for v, considering that in this case T=1.3min=78s, and r=242

v=\frac{2\pi *(242)}{78} =19.49398518m/s

Finally, replacing v in the centripetal acceleration equation:

a_c=\frac{(19.49398518)^{2} }{242}=1.570311811m/s^2

6 0
3 years ago
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