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
Mademuasel [1]
3 years ago
6

Mary and her younger brother Alex decide to ride the 17 -foot-diameter carousel at the State Fair. Mary sits on one of the horse

s in the outer section at a distance of 8 feet from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 5 feet from the center.
(a) What is Mary's angular speed ωM compared to that of Alex's angular speed ωA ? Give your answer as a multiple of ωA.ωM=ωA
(b) What is Mary's tangential speed vM compared to that of Alex's tangential speed vA? Give your answer as a multiple of vA.vM=vA
Physics
1 answer:
Elodia [21]3 years ago
7 0

Answer:

(a) ωM=ωA

(b) vA = (0.625)vM

Explanation:

The tangential velocity of the body  is calculated by the following formula:

v = ω*R  Formula (1)

where:

v is the tangential speed of the body in feet over second (ft/s)

ω is the angular speed in radians over second (rad/s)

R is the radius of the the body in the circular path in meters (m)

(a) What is Mary's angular speed ωM compared to that of Alex's angular speed ωA

The angular speed of Mary and Alex is determined by the angular speed of the carousel ( ωC),therefore it is the same for both:

ωM=ωC  ,  ωA=ωC

ωM=ωA

(b) What is Mary's tangential speed vM compared to that of Alex's tangential speed vA?

Data:

RM = 8 ft : Mary radio

RA = 5 ft : Alex radio

We apply the formula (1)

v = ω*R

vM  = ωC *8 : Mary's tangential speed

vA  = ωC *5 : Alex's tangential speed

We establish the relationship between vA and vM like this:

vA/vM = (ωC*5) / (ωC*8)

We cancel ωC

vA = (5/8)vM

vA = (0.625)vM

You might be interested in
A source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered
marysya [2.9K]

When the amplitude varies, it means twice as much.

<h3>Which instances of sinusoidal waves are there?</h3>

Simple harmonic motion, such the swinging of a pendulum or the weight of a weight on a spring, produces a sinusoidal relationship between position and time. Sound and water waves, for example, can be visualized as sinusoids.

Given:

if the string is given four times as much power.

According to the power that a sinusoidal wave on a stretched string transmits,

P =\frac{1}{2} μω^A^2v

Where  μ=mass per unit length, w= angular speed, A= amplitude, v= wave speed, P= power delivered.

P ∝A^{2}

Here, the only terms we need are power and amplitude.

A =K\sqrt{P}

Where K is constant

Here, "power become quadruple" refers to four,

A = \sqrt{4P}

A =2 \sqrt{P}

Therefore, an increase in amplitude by a factor of two is equivalent to a twofold increase.

To know more about sinusoidal wave visit:-

brainly.com/question/28449631

#SPJ4

3 0
1 year ago
PLEASE ANSWER WILL MARK BRAINLIEST
Firlakuza [10]

Answer:

your pretty no matter what others say

Explanation:

6 0
3 years ago
Read 2 more answers
What is the definition of a "revolution"? user: which planet is closest to the sun?
asambeis [7]
The correct answer is A. Mercury
6 0
3 years ago
Read 2 more answers
Power plants can be powered by fossil fuels, such as coal or natural gas, or nuclear power to produce steam to turn turbines to
Naddika [18.5K]
<span>Nuclear energy is cleaner while generating electricity. Nuclear fission provides energy without releasing greenhouse gases such as carbon dioxide. However, nuclear power plants generate significant amounts of radioactive waste.  That is why we should not choose nuclear energy over fossil fuel power plants.</span>
7 0
3 years ago
Suppose that the average speed (vrms) of carbon dioxide molecules (molar mass 44.0 g/mol) in a flame is found to be 2.67 105 m/s
34kurt

Answer:

T = 1.26 \times 10^8 K

Explanation:

As we know that rms speed of ideal gas is given by the formula

v_{rms} = \sqrt{\frac{3RT}{M}}

here we know that

v_{rms} = 2.67 \times 10^5 m/s

molecular mass of gas is given as

M = 44 g/mol = 0.044 kg/mol

now from above formula we have

2.67\times 10^5 = \sqrt{\frac{3(8.31)T}{0.044}}

now we have

T = 1.26 \times 10^8 K

7 0
4 years ago
Other questions:
  • What brand of soda contains the most caffeine? the dependent variable is the most caffeine
    15·1 answer
  • What are brief explanation of charging by a conduction and charging by Induction​
    8·1 answer
  • The landform pictured above is a _______. It carries fresh water from regions of _______ to regions of _______.
    11·2 answers
  • A force of 20 n acts upon a 5 kg block, calculate acceleration of the object
    12·2 answers
  • Which would BEST describes what occurs when a ball is thrown against a wall?
    15·2 answers
  • A 5g block rests on a rough horizontal table a rope attached to the block is pulled with a force of 11N to the left as a result
    15·1 answer
  • if a toaster produces 8 ohms of resistance in a 120 v circuit, what is the amount of current in the circuit
    8·1 answer
  • You shine a LASER from the air into water. What happens to light?
    12·1 answer
  • A 3.35 kg object initially moving in the positive x direction with a velocity of 4.90 m s collides with and sticks to a 1.88 kg
    11·1 answer
  • What is the difference in graph shape when it is postion vs.time vs. velocity vs. time graph. Using a motion detector.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!