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igomit [66]
3 years ago
8

how many revolutions are completed by a top spinning with a constant angular velocity of 3pi radians during a 20 sec time interv

al
Physics
1 answer:
patriot [66]3 years ago
7 0

Answer:

  30

Explanation:

Assuming the velocity is 3π radians <em>per second</em>, the top will spin through an angle of ...

  (3π radians/s)(20 s) = 60π radians

Since each revolution is 2π radians, that is ...

  (60π radians)/(2π radians/revolution) = 30 revolutions

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You grab the handle of the door in the picture, and pull as hard as you can. Unfortunately, this door should
chubhunter [2.5K]

Answer:

Explanation:

The solved solution is on the attach document

8 0
3 years ago
If the magnitude of the initial velocity of the ball v0 = 7.94 ± 0.03, and the "gun" is tilted 31 ± 0.4º upwards, what is the un
ycow [4]

Answer:

0.05

Explanation:

Given a variable C which is the product of two variables A, B:

C=A\cdot B

Then the absolute error on C is given by:

\frac{\sigma_C}{C}=\frac{\sigma_A}{A}+\frac{\sigma_B}{B}

where \sigma_A, \sigma_B, \sigma_C are the uncertanties on the measure of A, B and C, respectively.

In this problem, the horizontal component of the velocity v_x is given by

v_x = v_0 cos \theta

Therefore, the uncertainty on vx is given by:

\frac{\sigma_{v_x}}{v_x}=\frac{\sigma_{v_0}}{v_0}+\frac{\sigma_{cos \theta}}{cos \theta} (1)

where we have:

v_0 = 7.94

\sigma_{v_0}=0.03

\theta=31^{\circ}, so

cos \theta=cos 31^{\circ}=0.857

The uncertainty on cos \theta is given by:

\sigma_{cos \theta}=|sin \theta|\sigma_\theta

where:

|sin \theta| = |sin 31^{\circ}|=0.515

and

\sigma_\theta=0.4^{\circ}=0.007 rad

So

\sigma_{cos \theta}=|0.515|\cdot 0.007 = 0.0036

Also,

v_x = v_0 cos \theta = (7.94)(cos 31^{\circ})=6.81 m/s

So, combininb everything into (1), we find:

\sigma_{v_x}=(\frac{\sigma_{v_0}}{v_0}+\frac{\sigma_{cos \theta}}{cos \theta})v_x=(\frac{0.03}{7.94}+\frac{0.0036}{0.857})(6.80)=0.05

4 0
3 years ago
How long does it take the Sun to melt a block of ice at 0∘C with a flat horizontal area 1.0 m2 and thickness 2.0 cm ? Assume tha
sineoko [7]

Answer:

It takes <em>40 hours</em> to melt the block of ice.

Explanation:

According to the principles of radiation and heat transfer respectively:

<em>ΔQ = I(dt)eAcosθ  </em>(I = Solar energy density; dt = time taken; e = emissivity; A = Area of block; θ = angle between the sun ray and the horizontal)

<em>ΔQ = mLf</em>  (ΔQ = Heat change; m = mass of ice; Lf = Specific latent heat of fusion of ice)

but m = ρV = ρ.A.<em>d</em>x, therefore, the heat transfer equation can be re-written as:

<em>ΔQ = ρ.A.dx.Lf</em>

Lets equate the radiation equation and the modified heat transfer equation, we have:

<em>ρ.A.dx.Lf = I(dt)eAcosθ</em>

<em>ρ.dx.Lf = I(dt)ecosθ    </em>(Striking out the area)

Let's make <em>dt</em> the subject of formula,

dt = ρ.dx.Lf /I.e.cosθ

ρ = Density of ice, 9.2x10^{2} Kg/m^{3}

Lf = 3.36x10^{5} J/Kg

e = 0.050

θ = 32 deg. C

Now, let's substitute the terms:

dt=\frac{(9.2x10^{2})(0.02)(3.36x10^{5} ) }{(1000)(0.050)(cos32)}

dt=14.45x10^{4} s = \frac{14.45x10^{4}}{3600} hr=40.14 hr

Therefore, the time taken for the ice to completely melt is <em>40 hours</em> (Two significant figures)

4 0
3 years ago
An electric current of 0.520A flows for 411 milliseconds. Calculate the amount of electric charge transported. Be sure your answ
Reptile [31]

The electric current intensity (I) is the amount of electricity or electric charge (Q) that circulates through a circuit in the unit of time (t). Mathematically it can be described as

I = \frac{Q}{t} \rightarrow Q= It

Our values are,

I = 0.520A

t = 411ms = 411*10^{-3}s

Replacing we have that the charge is

Q = (0.520A)( 411*10^{-3}s )

Q = 0.21372C

Therefore the amount of electric charge transported is 0.2137 Coulombs

5 0
3 years ago
A situation for effect of force leads to a permanent change in shape of object is.
Alex

A situation for effect of force that leads to a permanent change in shape of an object is<u> deformation</u>.

When a force is applied to a body, motion occurs, but when more than one force is applied, the body undergoes deformation. Deformation is the permanent change in shape of an object.

Deformation can change the shape of an object by compressing, bending or stretching the object. Stretching occurs when an object is pulled apart and compression occurs when the object is squeezed. There are two types of deformation:

  • Elastic deformation: This type of deformation is temporary and can be reversed. For example, stretching a rubber band
  • Inelastic deformation: This type of deformation is permanent and cannot be reversed. For example, squeezing a metal.

Learn more about deformation here:

brainly.com/question/2612478

#SPJ4

6 0
1 year ago
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