Answer:
α = -0.01625 rad / s²
Explanation:
This is an exercise in angular kinematics, we can use the relation
w = w₀ + 2 α θ
linear and angular variables are related
v = w r
w = v / r
Let's reduce the magnitudes to the SI system
v₀ = 91 km / h (1000m / 1km) (1h / 3600s) = 25.278 m / s
v = 48 km / h = 13,333 m / s
θ = 75 rev (2π rad / 1 rev) = 471.24 rad
Let's find the angular velocities
w₀ = v₀ / r
w₀ = 25.278 / 0.78
w₀ = 32,408 rad / s
w = v / r
w = 13.333 / 0.78
w = 17.09 rad / s
we calculate the angular acceleration
α = (w- w₀) / 2θ
α = (17.09 - 32.408) / (2 471.24)
α = -0.01625 rad / s²
the negative sign indicates that the wheel is stopping
A new business should be based on an entrepreneur's individual interests because the entrepreneur must have sufficient confidence to succeed. be willing to take personal responsibility. have enough determination to work alone. dedicate as many hours as needed to the work.
Answer: D) dedicate as many hours as needed to the work.
Explanation:
edge 2020
If the entrepreneur puts in dedication to duty, responsibility and long hours of work, the new business is more likely to survive.
Who are entrepreneurs?A business refers to any venture that is set up with the intention of making profit. The proprietors of new businesses are called entrepreneurs. They are saddled with the responsibility of propagating the activities of the new business.
The entrepreneur must be ready to put in:
Long hours of workResponsibilityDedicationIf the entrepreneur does all these, his/her new business is more likely to survive than ever.
Learn more about entrepreneur:https://brainly.com/question/4910555
fun facts are,
Butterflies taste with their hind feet.
A group of crows is called murder.
Tomato sauce was sold in the 1800's as medicine.
A donkey will sink in quicksand, but a mule won't.
Lakes Can Explode. ...
Earth Used to Be Purple. ...
60 Tons of Cosmic Dust Fall to Earth Daily. ...
The Oceans Hold $771 Trillion Worth of Gold. ...
Earth Once Had Two Moons. ...
Earth Might Still Have Two Moons. ...
The Greatest Vertical Drop Is in Canada. ...
The Hottest Spot in the World Is in California.
Answer:
that is cool and i have one interesting fact
Explanation: North Korea and Cuba are the only places you can't buy Coca-Cola
A cement truck when filled weighs 42 000 N. Calculate its mass
Answer:
Mass = 4281.35 kg
Explanation:
From Newton's law of motion, the weight of an object is given by the formula;
W = mg
Where;
W is weight
m is mass
g is acceleration due to gravity which has a constant value of 9.81 m/s².
We are given weight W = 42000 N.
Thus;
42000 = m × 9.81
m = 42000/9.81
m ≈ 4281.35 kg
what problems might it cause if a company tried to recycle materials without sorting them first? at least 2 or 3 sentences please!!!!
Answer:
They would probably not be looking good.. like if u don't sort it out they won't be shaped well and there are many types of plastic and if we combine them together they won't give the correct form..
hope this helps :)
A girl swings a 0.250 kg rock attached to a taut string in a circle around her head. Her hand holds the end of the string above her head, and the string angles down slightly (11.9° below the horizontal.). The string is massless and 0.75m long.
A coordinate system lies with its origin a the location where the string comes out of the girl's hand. The positive z-axis points vertically. the projection onto the horizontal plane is such that the string makes an angle of 34.6° with the x-axis.
At a certain instant, the rock makes 2.50 revolutions per second (rev/s) in a counterclockwise direction as seen from above.
What is the tangential velocity vector at this instant?
Complete Question
The diagram of with this question is shown on the first uploaded image
Answer:
The value is [tex]v = -6.543 \^ i + 9.47 \^ j + 0 \^ k[/tex]
Explanation:
From the question we are told that
The mass of the rock is [tex]m = 0.250 \ kg[/tex]
The length of the string is [tex]L = 0.75 \ m[/tex]
The angle the string makes horizontal is [tex]\theta = 11.9^o[/tex]
The angle which the projection of the string onto the xy -plane makes with the positive x-axis is [tex]\phi = 34.6^o[/tex]
The angular velocity of the rock is [tex]w = 2.50 rev/s = 2.50 * 2\pi =15.7 \ rad/s[/tex]
Generally the radius of the circle made by the length of the string is mathematically represented as
[tex]r = L cos(\theta )[/tex]
=> [tex]r = 0.75 cos(11.9 )[/tex]
=> [tex]r = 0.734 \ m[/tex]
Generally the resultant tangential velocity is mathematically represented as
[tex]v__{R}} = w * r[/tex]
=> [tex]v__{R}} = 15.7 *0.734[/tex]
=> [tex]v__{R}} = 11.5 \ m/s[/tex]
Generally the tangential velocity along the x-axis is
[tex]v_x = -v__{R}} * sin(\phi)[/tex]
=> [tex]v_x =- 11.5 * sin(34.6)[/tex]
=> [tex]v_x = -6.543 \ m/s[/tex]
The negative sign show that the velocity is directed toward the negative x-axis
Generally the tangential velocity along the y-axis is
[tex]v_y = v__{R}} * cos(\phi)[/tex]
=> [tex]v_y = 11.5 * cos(34.6)[/tex]
=> [tex]v_y = 9.47 \ m/s[/tex]
Generally the tangential velocity along the y-axis is
[tex]v_z = v__{R}} * cos(90)[/tex]
=> [tex]v_z = 0 \ m/s[/tex]
Generally the tangential velocity at that instant is mathematically represented as
[tex]v = -6.543 \^ i + 9.47 \^ j + 0 \^ k[/tex]
if the velocity of a bicycle is 10m/s .how long will it take to cover a distance of 18km
Answer:
1800seconds
Explanation:
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1. Newton's third law states that any action will have a(n) and reaction O A. Equal and opposite O B. Greater and opposite C. Equal and similar D. Equal and different
Answer: Equal and Opposite
Explanation:
Question 1: A car accelerates from rest, and travels 400 m in 3.5 seconds. If
the net force on the car is 12,000 N what is the mass of the car?
Explanation:
u= 0 ( because car start rest)
v=400
t=3.5
v-u/t
400-0/3.5
400/3.5
114m/s
f= 12000
f=ma
12000=m*114
m=12000/114
105 kg approx
describe the difference between particle motion in solids and liquids.
Answer:
Particles in a: gas are well separated with no regular arrangement. liquid are close together with no regular arrangement. solid are tightly packed, usually in a regular pattern.
i hope this helps your answer
Answer:
liquids vibrate, move about, and slide past each other. solids vibrate but generally do not move from place to place.
you tell a friend to go 5 miles west then 6 miles south then 6 miles east on a compass the direction of there displacement is closest to:
East
East because the last direction you told was east
Closest to South, with a little leaning toward Southeast.
A black lift of amber is placed in water and a laser beam travels from the water through the amber. The angle of incidence is 35 degrees while the angle of refraction is 24 degrees. What is the index of refraction of amber
Answer:
Explanation:
refractive index of ember = sin of angle of incidence / sin of angle of refraction
= sin 35 / sin24
= .5735 / .4067
= 1.41
This is refractive index of ember with respect to water
refractive index of ember with respect to water
= wμe = μe / μw
μe = wμe x μw
= 1.33 x 1.41
= 1.87
refractive index of ember with respect to air = 1.87 .