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Arada [10]
2 years ago
11

With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s. What is its angular acceleration in rad/s2

? How many revolutions does it go through in the process?
Physics
1 answer:
Irina-Kira [14]2 years ago
3 0
<h2>Angular acceleration is 80 rad/s² </h2><h2>Number of revolutions undergone is 1.02</h2>

Explanation:

We have equation of motion v = u + at

     Initial angular velocity, u = 0 rad/s

     Final angular velocity, v = 32 rad/s    

     Time, t = 0.40 s

     Substituting

                      v = u + at  

                      32 = 0 + a x 0.40

                      a = 80 rad/s²

     Angular acceleration is 80 rad/s²

  We have equation of motion s = ut + 0.5 at²

        Initial angular velocity, u = 0 rad/s

        Angular acceleration, a = 80 rad/s²

        Time, t = 0.4 s      

     Substituting

                      s = ut + 0.5 at²

                      s = 0 x 0.4 + 0.5 x 80 x 0.4²

                      s = 6.4 rad

      Angular displacement  = 6.4 rad

     \texttt{Number of revolutions = }\frac{6.4}{2\pi}=1.02

Number of revolutions undergone is 1.02

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mestny [16]

Answer:

0.25 N

Explanation:

The density of the ball (\rho_b) = 0.0839 g/cm³ = 83.9 kg/m³

The density of water (\rho_w) = 1000 kg/m³

diameter = 3.77 cm = 0.0377 m

radius of ball = 0.0377/2 = 0.01885 m

The volume (V) = \frac{4}{3} \pi r^3=\frac{4}{3}*\pi*0.01885^3=2.8*10^{-5}\ m^3

Let us assume the acceleration due to gravity (g) = 9.8 m/s²

Hence:

The force is required to hold it completely submerged under water (F) is:

F=\rho_w Vg-\rho_b Vg=1000*(2.8*10^{-5})*9.81-83.9*(2.8*10^{-5})*9.81\\\\

F = 0.25 N

7 0
3 years ago
if i travel to an unknown planet where the mass is twice that of mass earth , what would my mass on this planet be A. Greater th
kkurt [141]

Answer:

I think it would be C since it doesn't say anything about the gravity, basically things around u change, but you don't change

Explanation:

Sorry if I got this wrong, hope this helped and have a nice day!

4 0
2 years ago
Andrew kicks a ball along a straight path. The ball rolls straight forward for 13.2 meters. Then Andrew kicks the ball straight
tresset_1 [31]

Answer: 22.7 meters

Explanation: The distance traveled is how much the ball has rolled in total, this means the lenght of the path that it has followed from begining to end.

Since it first travels 13.2 meters and then 9.5 meters, if we sum this quantities:

13.2 + 9.5 = 22.7 meters

So 22.7 is the distance that the ball has traveled.

7 0
3 years ago
How quickly a leaf grows is proportional how big [ie the surface area] the leaf is. If the area of the leaf grows from 2cm2 to 3
marusya05 [52]

Answer: 9 days

Explanation:

  • Step 1

Let the rate of Leaf growth <em>r</em> be defined as, \frac{Increase  in  area}{time taken} = \frac{A1 - A}{t}

where <em>A</em> is initial area of the leaf, <em>A1</em> is the final area of the leaf and<em> t</em> is the time taken for the increase in Area.

  • Express the proportional relationship in equation.

Given that rate of leaf growth, r is proportional to the surface area of the leaf A. we have r ∝ A.

r = kA, where k is the rate constant.

therefore, k = \frac{r}{A}

when A = 2cm^{2}, A1 = 3

so k = \frac{\frac{3 - 2}{3}}{2}

= \frac{1}{3} ÷ 2

= 0.33 ÷ 2

k = 0.167

  • After calculating the rate constant k, we then find the time t when A1 is 5cm^{2}
  • we have r = k × A1 = \frac{A1 - A}{t}

so, 0.167 × 2 = \frac{5 - 2}{t}

0.33 = \frac{3}{t}.

t = 3/0.33

Therefore, t = 9 days.

3 0
3 years ago
Cellular telephones use what type of wave?
lana [24]
Cellphones use radio frequency waves to transmit sound through the speaker and the microphone.<span> The radio frequency energy that is given off by cell phones is a type of electromagnetic energy.
I hope I helped! =D</span>
4 0
2 years ago
Read 2 more answers
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