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
Keith_Richards [23]
3 years ago
14

Two identical wheels, wheel 1 and wheel 2, initially at rest begin to rotate with constant angular accelerations α. After rotati

ng through the same angular displacement, Δθ0, the angular velocity of wheel 1 is ω1 and the angular velocity of wheel 2 is ω2=3ω1. How does the angular acceleration of wheel 2, α2, compare to the angular acceleration of wheel 1, α1?a. a2 = a1b. a2 = a1/3c. a2 = 3a1d. a2 = 9a1

Physics
2 answers:
Thepotemich [5.8K]3 years ago
6 0

Answer:

a2 = 3a1

Explanation:

Detailed explanation and calculation is shown in the image below

Georgia [21]3 years ago
5 0

Answer:

d. a2 = 9a1

Explanation:

We can apply the following equation of motion to calculate the angular acceleration:

\omega^2 - \omega_0^2 = 2\alpha\theta

Since both wheel starts from rest, their \omega_0 = 0 rad/s

\omega^2 = 2\alpha\theta

We can take the equation for the 1st wheel, divided by the equation by the 2nd wheel:

\frac{\omega_1^2}{\omega_2^2} = \frac{2\alpha_1\theta_1}{2\alpha_2\theta_2}

As they were rotating through the same angular displacement \theta_1 = \theta_2, these 2 cancel out

\left(\frac{\omega_1}{\omega_2}\right)^2 = \frac{\alpha_1}{\alpha_2}

\left(\frac{1}{3}\right)^2 = \frac{\alpha_1}{\alpha_2}

\frac{1}{9} = \frac{\alpha_1}{\alpha_2}

\alpha_2 = 9\alpha_1

So d is the correct answer

You might be interested in
An astronaut on an alien planet drops a rock into a crater which is 100 meters deep. The rock hits the bottom of the crater 4 se
Semmy [17]

Answer:

The gravity on this planet is stronger than that of earth.

Explanation:

First we need to find the acceleration due to gravity value of this planet to compare its gravity force with that of the earth. Hence, we will use second equation of motion:

h = Vi t + (0.5)gt²

where,

h = height or depth of crater = 100 m

Vi = Initial Velocity of rock = 0 m/s

t = time = 4 s

g = acceleration due to gravity on this planet = ?

Therefore,

100 m = (0 m/s)(4 s) + (0.5)(g)(4 s)²

g = (200 m)/(16 s²)

g = 12.5 m/s²

on earth:

ge = 9.8 m/s²

Since,

ge < g

Therefore,

<u>The gravity on this planet is stronger than that of earth.</u>

6 0
3 years ago
What is the speed of rocket that travels 9km in 10 seconds​
zysi [14]

Answer:

900

Explanation:

v = s / t = 9000m / 10 s = 900m/s

4 0
3 years ago
Read 2 more answers
A force causes a mass of 4 kg to have an acceleration of 8 m/s2. Suppose something causes the mass to be one-quarter of its orig
solniwko [45]

Explanation:

From Newton's second law:

F = ma

Given that m = 4 kg and a = 8 m/s²:

F = (4 kg) (8 m/s²)

F = 32 N

If m is reduced to 1 kg and F stays at 32 N:

32 N = (1 kg) a

a = 32 m/s²

So the acceleration increases by a factor of 4.

5 0
3 years ago
A high diver dives into a swimming pool. His potential energy at the top is 10,000 J (relative to the surface of the pool). What
Semmy [17]

Answer:

Kinetic energy of diver at 90% of the distance to the water is 9000 J

Explanation:

Let d is the distance between the position of the diver and surface of the pool.

Initially, the diver is at rest and only have potential energy which is equal to 10000 J.

As the diver dives towards the pool, its potential energy is converting into kinetic energy due to law of conservation of energy, as total energy of the system remains same.

Energy before diving = Energy during diving

(Potential Energy + Kinetic Energy) =  (Kinetic Energy +  Potential Energy)

When the diver reaches 90% of the distance to the water, its kinetic energy

is 90% to its initial potential energy, as its initial kinetic is zero,i.e.,

K.E. = \frac{90}{100}\times10000

K.E. = 9000 J

6 0
3 years ago
The main difference between obsessive-compulsive personality disorder (OCPD) and obsessive-compulsive disorder (OCD) is that ___
maksim [4K]

Answer:

B. people with OCD know their disorder is irrational

Explanation:

Got it right

6 0
2 years ago
Read 2 more answers
Other questions:
  • Help me Plaese
    15·1 answer
  • you slide abox of books at constant speed up a30 degree ramp, applying a force of 200 newtons directed up the slope. The coeffic
    13·1 answer
  • Who came up with the theory of relativity?
    6·1 answer
  • Find the acceleration of a body whose velocity increases from 11ms-1 to 33ms-1 in 10 seconds
    6·2 answers
  • When Jackson throws a baseball in a straight path what two forces causes the ball to eventually stop moving
    5·1 answer
  • Explain how the velocity of an object changes in respect to time.
    11·2 answers
  • Elephants can communicate using very low frequency sound waves over long distances. An elephant makes a noise below human hearin
    14·1 answer
  • The Statue of Liberty is made of Copper that has turned on Says has WAGNE Bongo Wantse
    5·1 answer
  • Two spherical objects have masses of 8.1 x 103 kg and 6.4 x 106 kg. The gravitational attraction between them is 125 N. How far
    12·1 answer
  • Consider the vector field. f(x, y, z) = xy2z2i x2yz2j x2y2zk (a) find the curl of the vector field?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!