1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RSB [31]
3 years ago
5

A spinning wheel has a rotational inertia of 2 kg•m². It has an angular velocity of 6.0 rad/s. An average counterclockwise torqu

e of 5.0 N•m is applied, and continues for 4.0 s. What is the change in angular momentum of the wheel?
Physics
1 answer:
ira [324]3 years ago
7 0

Answer:

-20.0 kg m^2/s

Explanation:

The angular momentum of an object in rotation is given by

L=I \omega

where

I is the moment of inertia

\omega is the angular speed

In this problem, initially we have

I=2 kg m^2 is the moment of inertia of the wheel

\omega_i = 6.0 rad/s is the initial angular speed

So the initial angular momentum is

L_i = I\omega_i = (2)(6.0)=12 kg m^2/s

Later, a counterclockwise torque of

\tau=-5.0 Nm is applied

So the angular acceleration of the wheel is:

\alpha = \frac{\tau}{I}=\frac{-5.0}{2}=-2.5 rad/s^2 in the direction opposite to the initial rotation.

As a result, the final angular velocity of the wheel will be:

\omega_f = \omega_i + \alpha t

where

t = 4.0 is the time interval

Solving,

\omega_f = +6.0 +(-2.5)(4.0)=-4 rad/s

which means that now the wheel is rotating in the counterclockwise direction.

Therefore, the new angular momentum of the wheel is:

L_f = I\omega_f =(2)(-4.0)=-8.0 kg m^2/s

So, the change in angular momentum is:

\Delta L=L_f - L_i = (-8.0-(12))=-20.0 kg m/s^2

You might be interested in
Two parallel wires carry currents in the same direction. If the currents in the wires are 1A and 4A and the wires are 5 m apart.
serious [3.7K]

Answer:

1.6\times 10^{-7} N

2.4\times 10^{-7} N

Explanation:

i_{1} = 1 A

i_{2} = 4 A

r = distance between the two wire = 5 m

F = Force per unit length acting between the two wires

Force per unit length acting between the two wires is given as

F = \frac{\mu _{o}}{4\pi }\frac{2i_{1}i_{2}}{r}

F = (10^{-7})\frac{2(1)(4)}{5}

F = 1.6\times 10^{-7} N

r'} = distance of each wire from the midpoint = 2.5 m

Magnetic field midway between the two wires is given as

B = \frac{\mu _{o}}{4\pi } \left \left ( \frac{2i_{2}}{r'} \right - \frac{2i_{1}}{r'} \right \right ))

B = (10^{-7}) \left \left ( \frac{2(4)}{2.5} \right - \frac{2(1)}{2.5} \right \right ))

B = 2.4\times 10^{-7}

5 0
3 years ago
All objects at any temperature emit radiant energy true or false
kirill [66]
The answer is true.
All object at any temperature emit radiant energy.
4 0
3 years ago
Read 2 more answers
Which stimulant drug leads to a brief 15 to 30 minute rush of euphoria and energy followed by a crash and immediate craving for
solmaris [256]

Answer:

ketamine.

Explanation:

yoda told me.

8 0
2 years ago
9. A soft drink distibutor drove west 11 km from Minnehaha to Nut Plains. She then turned around and drove back east for 209 km
guajiro [1.7K]

Answer:

220km

Explanation:

Given parameters:

Distance traveled from Minnehaha to Nut Plains  = 11km

Distance traveled to Dover  = 209km

Unknown:

The distance the soft drink distributor traveled  = ?

Solution:

To solve this problem, we  must understand that distance is the total length of path covered in a journey.

 So;

     Distance  = 209km + 11km  = 220km

The soft drink distributor covered 220km

3 0
2 years ago
Accelerated depreciation has an advantage for profitable firms in that it moves some cash flows forward, thus increasing their p
scZoUnD [109]

Answer: A. True

Explanation:

6 0
3 years ago
Other questions:
  • If a nearsighted person has a far point df that is 3.50m from the eye, what is the focal length f1 of the contact lenses that th
    12·1 answer
  • What happens if a bar magnet is broken in half?
    14·2 answers
  • A Young'sdouble-slit interference experiment is performed with monochromatic light. The separation between the slits is 0.44 mm.
    10·1 answer
  • Birds cause a lot of damage to airplanes every year. To study this problem, the U.S Air force invented a chicken cannon. Air For
    9·2 answers
  • A river flows at a rate of 2 km divided by h. A patrol boat travels 54 km upriver and returns in a total time of 9 hr. What is t
    9·1 answer
  • A shotgun of mass 3kg fires a bullet of 0.1kg at a velocity of 250m/s. What is the recoil velocity of the gun
    5·1 answer
  • Can someone please help me?
    9·2 answers
  • What is transferred by a radio wave?
    11·1 answer
  • 1. Any push or pull is called
    10·1 answer
  • Anybody from India ?​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!