4. A carousel has a radius of 4 meters & turns at a rate of 1 revolution every 10 seconds. Allen is riding a horse on the edge of the carousel. Beth is riding a horse 2 meters from the center of the carousel.
a) What is Allen’s angular speed in rad/s?
b) What is Beth’s angular speed in rad/s?
c) What is Allen’s linear speed in m/s?
d) What is Beth’s linear speed in m/s?
plz answer on each a,b,c,d Questions
thanks
Answers
(a) The angular speed of Allen is 0.628 rad/s.
(b) The angular speed of Beth is 0.628 rad/s.
(c) The linear speed of Allen is 2.512 m/s.
(d) The linear speed of Beth is 1.256 m/s.
The given parameters;
radius of the carousel, r = 4 mspeed, ω = 1 rev per 10 secondsposition of Allen from the center of the carousel, r = 4 mposition of Beth from the center of the carousel, r = 2 mThe angular speed of Allen is calculated as follows;
[tex]\omega = \frac{1 \ rev}{10 \ s} \times \frac{2\pi \ rad}{1 \ rev} \\\\\omega = 0.628 \ rad/s[/tex]
The angular speed of Beth is calculated as follows;
[tex]\omega = \frac{1 \ rev}{10 \ s} \times \frac{2\pi \ rad}{1 \ rev} \\\\\omega = 0.628 \ rad/s[/tex]
Allen and Beth make the same number of revolutions every 10 seconds, hence their angular speed is the same.
The linear speed of Allen is calculated as follows;
[tex]v = \omega r\\\\v = 0.628 \ rad/s \times 4 \ m\\\\v = 2.512 \ m/s[/tex]
The linear speed of Beth is calculated as follows;
[tex]v = \omega r\\\\v = 0.628 \ rad/s \times 2 \ m\\\\v = 1.256 \ m/s[/tex]
Learn more here:https://brainly.com/question/14454004
Related Questions
What type of energy does the horse have because of its motion?
A. Elastic
B. Kinetic
ООО
C. Gravitational
D. Potential
Answers
is the horse running/moving? if so then kinetic i believe
Lichens are not single organisms, but algae and fungi that function together. The algae use photosynthesis to make food for both organisms. The fungi produce digestive chemicals and absorb nutrients for both organisms.
How does the biological activity of lichens cause weathering in rocks?
Answer options with 4 options
A.
Lichens cause friction as they grow, which weathers the rocks.
B.
Lichens produce chemicals, which dissolve and weather the rocks.
C.
Lichens take in water, which freezes in cracks and weathers the rocks.
D.
Lichens absorb heat during photosynthesis, which weathers the rocks.
Answer please
Answers
Answer:
The correct answer is B
Lichens produce chemicals which dissolve and weather the rocks.
A box that has a mass of 4 kg is on a shelf at a height of 4 meters. Calculate the potential energy due to gravity:
Joules
Answers
Explanation:
P. E = mgh
P. E = 4x10x4 = 160Joules
A diver has a mass of 90 kg. If he climbs ip a diving platform 12m high, how much potential energy does he have.
Answers
Answer:
10,584 JExplanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 90 × 9.8 × 12 = 10,584
We have the final answer as
10,584 JHope this helps you
A ball is thrown horizontally from the top of a tower at 30m high, and lands 15m from its base. What is the ball's initial speed?
Answers
Answer:
This question requires gravitational acceleration,t=（2h/g）^ 1/2,Level the initial speed is 15/t.
công thức tính điện trường
Answers
IM SORRY IF ITS WRŌÑG BUT I HOPE IT HELPS
if 770 grams of metal requires 155 calories of energy to raise its temperature by 10 kelvin what is its specific heat
Answers
The specific heat capacity of the metal of mass 770 g which required 155 calories to raise its temperature by 10 kelvin is 0.02 Cal/gK
From the question given above, the following the following data were:
Mass of metal (M) = 770 g
Heat (Q) required = 155 calories
Change in temperature (ΔT) = 10 K
Specific heat capacity (C) =?The specific heat capacity of metal can be obtained as illustrated below:
Q = MCΔT155 = 770 × C × 10
155 = 7700 × C
Divide both side by 7700
C = 155 / 7700
C = 0.02 Cal/gKTherefore, the specific heat capacity of metal is 0.02 Cal/gK
Learn more: https://brainly.com/question/134847
URGENT!! 100 Points (NO LINKS! Those answers will be reported)
A car jack with a mechanical advantage of 6 needs to produce an output force of 360 N to raise a car. What input force is required?
(Must include the correct unit and must show work)
Answers
Answer:
60N
Explanation:
6 times 60 =360 which is the amount so 60 n.
Do electromagnetic waves travel with speed of light?
Answers
Answer:
Yes
Explanation:
Especially the Seismic waves which travel faster than the others.
Using the Arc length formula s = r θ, find the missing variable. Find r when s = 26.4 and θ = 3π/2.
A) 39.6/ π
B) π /17.6
C) 17.6/ π
Answers
Answer:The solution is in the attached file below
Explanation:
The value of r is approximately 0.56. The closest option is D) π / 0.56, which is equal to approximately 5.6 when π is approximated to 3.14.
Using the arc length formula, s = rθ, we can rearrange it to find the missing variable r:
r = s / θ
Given that s = 26.4 and θ = 3π/2, we can substitute these values into the formula:
r = 26.4 / (3π/2)
To divide by a fraction, we can multiply by its reciprocal:
r = 26.4 * 2 / (3π)
Now, we simplify:
r = 52.8 / (3π)
To express r in terms of π, we divide:
r ≈ 52.8 / (3 * 3.14)
r ≈ 5.6
Therefore, option D) is the correct answer.
To know more about arc length, here
brainly.com/question/31762064
#SPJ2
--The complete Question is, Using the Arc length formula s = r θ, find the missing variable. Find r when s = 26.4 and θ = 3π/2.
A) 39.6/ π
B) π /17.6
C) 17.6/ π
D) 0.56
Kahalagahan ng diagram
Answers
Answer:
Diagrams are essential to provide a clear, unambiguous picture. They can be put together in meetings, can make discussions easier than lots of text and are quicker and easier to do iterations and re-work.
Explanation:
Diagrams play an important role in statistical data presentation. Diagrams are nothing but geometrical figures like lines, bars, circles, squares, etc. Diagrammatic data presentation allows us to understand the data in an easier manner.
ANSWER THIS QUESTION!!!! PLSSSSS!!! NEED HELP!!!!! 10 POINTS
Why would oxygen levels make a difference in athletic performance?
A.
Muscles need oxygen to function well.
B.
It is just one biometric that is studied.
C.
Oxygen is important for everyone, not just athletes.
D.
Athletes require less oxygen than those who are less active.
PLEASE NO LINKS (ONLY ANSWER)
Answers
Answer:
A. it's the only answer that makes sense. if I'm wrong sorry
A red car travels 400 m in 20s. A blue car travels 660m in 30s. Which car has the greater average speed?
Answers
Answer:
The Blue Car has a greater average speed at 22 m/s.
Explanation:
Red car average = 400 / 20 = 20 m/s
Blue car average = 660 / 30 = 22 m/s
A tractor can apply a force of 15000 Newtons to get out of a mud pit. The
mud is resisting the tractor with a force of 11250 Newtons. The tractor
manages to accelerate out of the mud with a rate of 1.25 m/s^2. What is
the mass of the tractor?
Answers
what are 10 main things that make up out observable universe
Answers
Answer:
Spaghetti.
Explanation:
What is the dissolved substance in a solution? A.particles B. solute C.solvement D.water
Answers
Answer:
Solute
Explanation:
a solute is dissolved into a solvent to make a solution
Answer:
the answer is solute
because solutes are what are to be dissolved in solvents to form solutions
The soccer player is running at a speed of 4 m/s when he slides on the ground, coming to a stop in a distance of 2 m. What was his acceleration?
Answers
A rescue pilot drops a survival kit while her plane is flying at an altitude of 2000.0 m with a forward velocity of 100.0 m/s. If air friction is disregarded, how far in advance of the starving explorer's drop zone should she release the package?
Answers
Answer:
H = 1/2 g t^2 no original vertical velocity
t = (2 * 2000 / 9.8)^1/2 = 20.2 s
Sx = 100 m/s * 20.2 s = 2020 m
A rescue pilot drops a survival kit while the plane is flying at an altitude of 2000 m then the distance travelled by the package after the drop will be 2020 meters.
What is Friction?A force that prevents two solid objects from smoothly sliding or rolling over one another is known as friction. While frictional forces, such as the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion. To overcome frictional forces in the moving parts, automotive engines use about 20% of their total power.
The main contributor to friction between metals appears to be adhesion, or the forces of attraction, between the contact regions of the surfaces, which are always microscopically uneven.
According to the question,
H = 1/2 g t²
2000 = 1/2(9.8) t²
t² = 4000/ 9.8
t = 20.2 seconds.
So the distance travelled by the package will be :
Distance = s × t
Distance = 100 m/s × 20.2 s
Distance = 2020 meters.
To get more information about friction :
https://brainly.com/question/13000653
#SPJ2
Is vaping bad for u?
Random
Answers
Answer:
yes
Explanation:
it damages your lungs
Answer:
yes it can mess you lungs up real bad
an object is moving east with a constant speed of 20m/s for 4 seconds.What is the object's acceleration
Answers
The objects acceleration is 6m/s.
Question 12…..plz help
Answers
Answer:
1 I am not sure but I tried
NEED HELP!!!!
Elsa has been spending a lot of time on the stair machine at her gym. She is starting to feel really sore in her knees, but she figures that it is not a big deal since exercise often makes people ache. What is the BEST advice for Elsa?
A.
She is right to think that soreness is part of working out.
B.
She is probably using the stair machine wrong if she is sore.
C.
The soreness means that the concentric exercises are doing their job.
D.
Concentric exercise can be hard on joints, so she should be very careful.
Answers
Answer:
The correct choice is D. Concentric exercise can be hard on joints, so she should be very careful.
The best advice for Elsa is she is probably using the stair machine wrong if the soreness resides for a long time. Therefore, option (B) is correct.
What do you mean by Exercise?Exercise can be described as the body activity that enhances or maintains physical fitness, wellness, and overall health.
Exercise can be performed for various reasons, to aid growth, develop muscles, improve strength, and the cardiovascular system, honing athletic skills, weight loss or maintenance, and simply for enjoyment.
Many people choose to exercise outdoors where they socialize and improve their well-being as well as their mental health.
The amount of recommended exercise depends upon the type of exercise, goal, and age of the person in terms of health benefits, Even doing a small exercise can be healthier than doing nothing.
Any exercise causes soreness, but if soreness resides for a long time, it can be time to analyze your exercise and modifies it in an appropriate way.
Therefore, if the soreness resides for a long time, then Elsa is probably using the stair machine wrong.
Learn more about Exercise, here:
brainly.com/question/1365564
#SPJ5
What is the centripetal force exerted on a 3.21 kg mass that is orbiting at a speed of 4.57 m/s around a circle, radius 0.68 m?
Question 6 options:
1)
9.98 N
2)
30.7 N
3)
21.6 N
4)
316 N
5)
98.6 N
Answers
Answer:Centripetal acceleration = v²/r = 8²/0.50 = 64/0.50 = 32
Centripetal force = mass * acceleration = 3 * 32 = 96 Newton
So, your answer is 96 Newton
Explanation:
Consider a ladder placed against a frictionless wall. What happens to the friction force between the ladder and the floor as you climb up the ladder
Answers
Answer:the friction increase
Explanation:
that's all i got
explain how cold water masses form
Answers
A baseball batter hits an incoming 40-m/s fastball. The ball leaves the bat at 50 m/s after a ball-on-bat contact time of 0.030 s. What is the force exerted on the 0.15-kg baseball? a. 450 N b. 1250 N c. 90 N d.50N
Answers
450 N
Compared to the amount of radiation received from the Sun, about how much radiation does the surface of the earth receive from the atmosphere
Answers
Answer:
https://earthobservatory.nasa.gov/features/EnergyBalance#:~:text=The%20atmosphere%20absorbs%2023%20percent,surface%20radiates%20only%2012%20percent.
Explanation:
A space ship travels 234500000 kilometers in 15 hours. What was the average speed of the space ship in m/s?
Answers
Answer:
4,342,592.59
Explanation:
234500000/15= 15,633,333.33
15,633,333.33*5/18=4,342,592.59
Describe how energy changes on a swing.
Answers
Answer:
while moving up from the perigee, the swing converts kinetic energy to potential energy, and when coming back down it is transferred back to kinetic energy.
also friction converts energy to heat
Explanation:
yes
OIOIOIOIOI
Is it possible to be in 2 places at once??!?!?!??!?!??!?!?!?
PLZ HELP PLZZZZZZZZZZZZZ
Answers
Answer:
No
Explanation:
NO
Answer:
ok i don't think you could but if you were cut in half you could soo I say yes you could
Explanation:
