For a complete vector quantity, what information needs to be given?

A gyroscope flywheel of radius 3.21 cm is accelerated from rest at 13.2 rad/s2 until its angular speed is 2450 rev/min.

SIZIF [17.4K]

Answer:

Part a)

$a_t = 0.423 m/s^2$

Part b)

$a_c = 2113 m/s^2$

Part c)

$d = 80 m$

Explanation:

Part a)

as we know that angular acceleration of the wheel is given as

$\alpha = 13.2 rad/s^2$

now the radius of the wheel is given as

R = 3.21 cm

so the tangential acceleration is given as

$a_t = R\alpha$

$a_t = (0.0321)(13.2)$

$a_t = 0.423 m/s^2$

Part b)

frequency of the wheel at maximum speed is given as

$f = 2450 rev/min$

$f = \frac{2450}{60} = 40.8 rev/s$

now we know that

$\omega = 2\pi f = 2\pi(40.8) = 256.56 rad/s$

now radial acceleration is given as

$a_c = \omega^2 r$

$a_c = (256.56)^2(0.0321) = 2113 m/s^2$

Part c)

total angular displacement of the point on rim is given as

$\Delta \theta = \omega_0 t + \frac{1}{2}\alpha t^2$

here we know that

$\omega = \omega_0 + \alpha t$

$256.56 = 0 + 13.2 t$

$t = 19.4 s$

now angular displacement will be

$\Delta \theta = 0 + \frac{1}{2}(13.2)(19.4)^2$

$\Delta \theta = 2493.3 rad$

now the distance moved by the point on the rim is given as

$d = R\theta$

$d = (0.0321)(2493.3)$

$d = 80 m$

7 0

3 years ago

What is the name of the galaxy in which the earth resides?

Crazy boy [7]

The answer is the Milky Way .

6 0

3 years ago

An astronaut whose mass is 80. kg and is initially at rest carries an empty oxygen tank with a mass of 10. kg. He throws the tan

sergeinik [125]

Answer:

0.25 m/s

Explanation:

From the law of conservation of momentum

Mu+ mu = Mv' + m v

M= mass of the astronaut = 80 kg

m= mass of the oxygen tank= 10 Kg

v= speedof the tank 2 m/s

u= initial velocity of the system= 0

If we substitute the values, we have

( 80× 0 )+(10×0)= [(80 x v )+ (10 x 2)]

0= 80v + 20

-20=80v

v= -0.25 m/s ( we have a negative value because the astronaut and the motion of the cylinder are in opposite direction)

Hence the velocity the astronaut start to move off into space is 0.25 m/s

6 0

3 years ago

On a planet with different gravity, would the molarity of water be different? explain your reasoning.

ruslelena [56]

On a planet with different gravity, the molarity of water won't be different as water produces regular natural gravity.

<h3>How to explain the gravity?</h3>

Although sunlight is the energy source, gravity is the main factor driving the water cycle. The Earth's gravity pulls matter downward and toward its center. Gravity is the force that attracts two objects. It pushes water downhill and precipitation from the clouds. Air and ocean water are also moved by gravity.

We understand that even if the gravitational pull varies throughout the universe, the molarity of water would be constant everywhere. This is thus because a substance's mass is unaffected by gravity; only its weight is. The quantity (or mass, indirectly) of a solute is used to calculate the molarity.

Here, on a planet with different gravity, the molarity of water won't be different as water produces regular natural gravity.

Learn more about gravity on:

brainly.com/question/557206

#SPJ1

5 0

1 year ago

When an earthquake occurs, two types of sound waves are generated and travel through the earth. The primary, or P, wave has a sp

Zielflug [23.3K]

Answer: $d=7.94\times 10^5\ m$