The axis of a circular cylinder coincides with the z-axis and it rotates with an angular velocity of (3i−5j +9k) rad/s. Determine i. The tangential velocity at a point P on the cylinder, whose co-ordinates are ( j +5k) metres,

Answers

Answer 1

Answer:

The tangential velocity at point P is [tex]\vec v_{P} = -34\,\hat{i} -15\,\hat{j}+3\,\hat{k}\,\,\left[\frac{m}{s} \right][/tex].

Explanation:

Vectorially speaking, we define tangential velocity at point P ([tex]\vec v_{P}[/tex]), measured in meters per second, by the following vectorial expression:

[tex]\vec v_{P} = \vec \omega \times \vec r_{P}[/tex] (1)

Where:

[tex]\vec \omega[/tex] - Angular velocity of the cylinder, measured in radians per second.

[tex]\vec r_{P}[/tex] - Radius of rotation, measured in meters.

If we know that [tex]\vec \omega = 3\,\hat{i}-5\,\hat{j}+9\,\hat{k}\,\left[\frac{rad}{s} \right][/tex] and [tex]\vec r_{P} = \hat{j}+5\,\hat{k}\,[m][/tex], then the tangential velocity at point P is:

[tex]\vec v_{P} = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\3\,\frac{rad}{s} &-5\,\frac{rad}{s} &9\,\frac{rad}{s} \\0\,m&1\,m&5\,m\end{array}\right|[/tex]

[tex]\vec v_{P} = \left[\left(-5\,\frac{rad}{s} \right)\cdot (5\,m)-(1\,m)\cdot \left(9\,\frac{rad}{s} \right)\right]\,\hat{i}-(5\,m)\cdot \left(3\,\frac{rad}{s}\right)\,j +\left(3\,\frac{rad}{s} \right)\cdot (1\,m)\,\hat{k}[/tex]

[tex]\vec v_{P} = -34\,\hat{i} -15\,\hat{j}+3\,\hat{k}\,\,\left[\frac{m}{s} \right][/tex]

The tangential velocity at point P is [tex]\vec v_{P} = -34\,\hat{i} -15\,\hat{j}+3\,\hat{k}\,\,\left[\frac{m}{s} \right][/tex].


Related Questions

A compressed spring stores 720 J of energy. A 1 kg block rests on the end of the spring. The spring is released and comes back to its uncompressed length pushing the block away. What is kinetic energy of the block as it leaves the spring? What is the speed of the block at this instant?

Answers

Answer:

the kinetic energy of block will be equal to energy stored in spring ie 720 J

the speed of block will be 37.9 m/s

Explanation:

E = m v^2 / 2

v = sqrt (2 * E / m)

v = sqrt (2 * 720 J / 1 kg) = 37.9 m/s

Reply quick pls
a snooker bal travels 4 meters, diagonally across the table it travels at a speed of 5m/s. calculate how long the ball is travelling for

Answers

The ball was moving for 0.8seconds
This is because 4/5 x 1 = 0.8

Hope this helps and good luckkkk :)

Ronald observes a large island off the coast of Indonesia on a map. A few months later, he observes that there are many smaller islands in place of the large one he had seen earlier. Which of these could have caused this change?

Answers

D is the correct answer

Answer:

idgaf

Explanation:

lol

Which best illustrates projectile motion

Answers

A pictorial diagram of a person hopping sideways at 5 different positions. The start and end positions are on the ground. The correct option is D.

What is projectile motion?

Projectile motion is the motion of an artifact thrown or projected into the air that is only affected by gravity's acceleration. The object is known as a projectile, and its path is known as its trajectory.

Any object that is cast, fired, flung, heaved, hurled, pitched, tossed, or thrown is considered a projectile.

Throwing a ball straight up, kicking a ball at an angle to the horizontal, or simply dropping things and letting them fall are all examples of projectile motion.

The pictorial diagram of a person hopping sideways in five different positions best illustrates projectile motion. The starting and ending points are on the ground.

Thus, the correct option is D.

For more details regarding projectile motion, visit:

https://brainly.com/question/11049671

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Your question seems incomplete, the missing options are:

A pictorial diagram showing a hot air balloon in four different positions, each the same height from the ground and equally spaced.A pictorial diagram with a rocket launched straight upward. The first three positions of the rocket are shown with equal spacing between them.A pictorial diagram with a person swimming and position shown in equal time intervals and equally spaced.A pictorial diagram of a person hopping sideways at 5 different positions. The start and end positions are on the ground.

Find our the total distance between those 2 womens after 100 seconds. Refer the image for the full question ASAP. Give me a complete brief solution of this above question!​

Answers

Given

[tex]\small\bf\red{First\: Women}\begin{cases}\sf{Initial\: Velocity\: =\: 15m/s}\\\sf{Time\: Taken\: = 100\: seconds}\end{cases}[/tex]

[tex]\small\bf\green{Second\: Women}\begin{cases}\sf{Initial\: Velocity\: =\: 20m/s}\\\sf{Time\: Taken\: = 100\: seconds}\end{cases}[/tex]

To Find

[tex]\:\:\:\:\bullet\:\:\sf{Distance \: between \:them \:after \:{\sf{\blue{100 \:seconds}}}} \\ [/tex]

Solution

[tex]\\→\:\:\:\sf Distance\: travelled \:by \:1st \:women\: = \: Velocity \times Time\:taken[/tex]

[tex]→\:\:\:\sf 15 \times 100[/tex]

[tex]→\:\;\:\sf 1500m[/tex]

[tex]→\:\:\:\sf s_{1} = {\sf{\red{1500m}}} \\ \\ [/tex]

[tex]\Rightarrow\:\:\:\sf Distance \:travelled \:by\: 2nd \:women\: = \: Velocity \times Time\:taken[/tex]

[tex]\Rightarrow\:\:\:\sf 20 \times 100[/tex]

[tex]\Rightarrow\:\:\:\sf 2000m[/tex]

[tex]\Rightarrow\:\:\:\sf s_{2} = {\sf{\purple{2000m}}} \\ \\ [/tex]

[tex]\small{\underline{\bf{Now, \:Distance \:between \:them\: =\: s_{2} - s_{1}}}_{}}[/tex]

[tex]\hookrightarrow\:\:\:\sf 2000 - 1500[/tex]

[tex]\hookrightarrow\:\:\:\bf \pink{500m} \\ \\ [/tex]

[tex]{\underline{\bf{Hence, }}}[/tex]

Total Distance between them after [tex]\bf{100 \:seconds}[/tex] is [tex]\bf\orange{500m}[/tex]

Once started, why can nuclear fission continue to occur on its own?
a) The thermal energy released can cause the products to join.
b) The neutron formed by the reaction can cause more nuclei to combine.
c) The thermal energy released can cause the products to split.
d) A neutron begins the reaction, and more neutrons are formed in it.

Answers

Answer:

C. The thermal energy released can cause the products to split.

Explanation:

Because this is fission its bleeding off the atom.

A neutron begins the reaction and more neutrons are formed in it  ( D )

When a nuclear fission is started it will continue to occur on its own because Nuclear fission is a form of reaction that starts with the splitting of the neutron of an atom into smaller nuclei which will continue to split into much smaller nuclei infinitely ( i.e. Chain reaction )

Hence we can say that once a Nuclear fission is started it can continue to occur on its own because A neutron begins the reaction and more neutrons are formed in it  ( i.e. chain reaction )

learn more : https://brainly.com/question/6166290

A power plant to represent the need for and use for energy; label it energy production.

Answers

I’m confused about this question

You are one of the forensic anthropologist working on the Romanov Family investigation. You and your team are trying to determine the height of each of victim. Which bone will you analyze to create a profile of the victims?

Answers

Answer:

Femur

Explanation:

The bone to forensically analyze in order to create a height profile of the victims would the femur.

The approximate height of a human can best be estimated by measuring the length of the bone that runs from the hip to the knee, otherwise known as the femur.

For the males, the length of the femur in centimeters is multiplied by 2.32 followed by the addition of 65.53 in order to arrive at the approximate height of the individual. For the females, on the other hand, the length of the femur in centimeters is multiplied by 2.47 followed by the addition of 54.1.

CAN SOMEONE HELP ME WITH THIS QUESTION!!

Answers

Answer:

The one you have selected

Explanation:

That is right

page:
+ At what height from surface of earth accelaration
due to gravity is half of the surface​

Answers

Answer:

(R=6. 4×106m)

Explanation:

The height above the surface of earth at which acceleration due to gravity is half the acceleration due to gravity at surface of earth

Explanation:

acceleration due to gravity at surface of earth is (R=6. 4×106m)

hope this answer helps you

Question 2 of 25
What is the voltage drop across the 20 resistor?
10.00
120.0 V
20.0 2.
www
30.02

Answers

The voltage drop across the 20 Ohm resistor is 40V.

To determine the answer, we need to know about the current flowing through the resistor.

What is the total resistance of the circuit?

As the three resistors are connected in series, so the resultant resistance is

   10 Ohmv+ 20 Ohm + 30 Ohm = 60 Ohm

What is the current flowing through the resistors?As these resistors are connected in series, so the amount of current flowing through each resistor is equal.According to Ohm's law, current = voltage/resistance

                           Current= 120/60 = 2 A

What is the voltage across the 20 Ohm resistor?

According to Ohm's law, voltage across the 20 Ohm resistor

                      = current×resistance

                      = 2×20

                      = 40volt

Thus, we can conclude that the voltage across the 20 Ohm resistor is 40V.

Learn more about Ohm's law here:

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NEED HELP NOW 75 POINTSSSS

In Harry Bahrick’s study, he found participants to be really good at recognizing the __________ of old high school classmates.
A.
homes
B.
ages
C.
faces
D.
names

Answers

Answer:

faces

Explanation:

Answer:

C.FACES

Explanation:

E20 GOT A HUNDRED PERCENT

plz do it all i will give brainlest and thanks to best answer.

Answers

Its a, metal is a good conductor of heat so yea
Hope this helps :)
It’s a because metal is a good heat conductor and I don’t see any other questions on there

Which of these is an example of mechanical energy being converted to sound energy?
baking cookies in the oven
playing a guitar
alarm clock

Answers

Playing a guitar I believe

Answer:

Playing Guitar

Explanation:

When yout pluck or strum that mechanical energy then the action of plucked and strumming will be converted to sound energy hence will produce the soothing music heard when a guitar is played

When thermal energy is added to an object, what happens to the motion of the particles?

A.
increases

B.
decreases

C.
remains unchanged

D.
decreases, then increases

Answers

The answer is A

Explanation:

What is the kinetic energy of a 620.0 kg roller coaster moving with a velocity of 9.00 m/s? Round to 3 significant figures.

2,790 J
5,580 J
25,100 J
50,200 J

Answers

im pretty sure it’s 25,100 J because i had seen the same question a few times with this answer, hope it helps!

Answer:

c, 25,100 J

Explanation:

edge2o2o

How far does the gravitational field of Earth extend?

Answers

I JUST NEED POINTSSS sorry hope you do good tho!
The earths gravitational pull will act on any object no matter the distance it just gets seeker the farther out you go

What happens during heat transfer within Earth?

Group of answer choices

Answers

Warmer, less dense material rises.

Explanation:

This happens when heat transfers.

A 12 Volt car battery pushes charge through the headlight circuit resistance of 10 ohms. How much current is passing through the circuit?

Answers

Answer:

We applicate formula:

I = V/R

Replacing acording data:

I = 12 V / 10 Ω

Resolving:

I = 1,2 A

Result:

The current is of 1,2 Amperes.

Answer:

1.2 amps

Explanation:

I = V/R

V = 12

R = 10

12/10 = 1.2 amperes (amps)

Janet jumps horizontally off a high diving platform with a velocity of 2.76 m/s and lands in the water 2.3 s later. How high is the platform? The acceleration of gravity is 9.8 m/s. Answer in units of m.

How far from the base of the platform does she land? Answer and units of m.​

Answers

Answer:

(a) Let the height of the platform is h meter,

=>By s = ut + 1/2gt^2

=>h = 0 + 1/2 x 9.8 x (2.3)^2

=>h = 25.92 m

(b) By R = [Ux] x t

=>R = 2.47 x 2.3

=>R = 5.68 m

Explanation:

Explanation:

From the exercise we know the initial horizontal velocity and the time that Janet takes to land in the water

a) Knowing the formula for free falling objects, we can calculate how high is the platform

At t=2.3m the position of Janet is y=0m

So, the platform is 26m tall

b) According to dynamics the displacement of an object can be analyze using the following formula:

So, Janet lands 6 m far from the base of the platform

A circuit has a voltage drop of 27 Vacross a 30 2 resistor that carries a
current of 1.8 A. How much power is used by the resistor? Use P = V.
O A. 48.6 W
O B. 16.7 W
O C. 1.8 W
O D. 810 W

Please help quickly

Answers

Answer:

A. 48.6 W

Explanation:

Which of the following terms describes the straightening of a joint, rather than the bending?
A.
flexion
B.
hyperextension
C.
extension
D.
none of the above


Please select the best answer from the choices provided.

A
B
C
D

Answers

Answer:

C. extension is the answer

Answer:C

Explanation: I took the test and it was right

"Heat engines and heat pumps are similar in that they both operate on the principle that heat flows naturally from a hot substance to a colder one and, in the process, can be made to do work. However, there is an importance difference between them."

Answers

Answer:

The answer is below

Explanation:

The difference between a heat engine and a heat pump is that a heat engine is a device that converts Thermal energy into Mechanical Energy while a heat pump is a system that extracts heat from a cold body and delivers it to a hot body.

A Heat Engine generates mechanical energy (work) from the temperature difference between two thermal reservoirs while a  Heat pump extract heat from a low temperature reservoir and delivers the heat energy to a high temperature reservoir.

What would be the formula if you
wanted to solve for the
acceleration?

Answers

Answer:

acceleration = final velocity - initial velocity / time

V-U/T

Explanation:

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt.

The flow of electricity through the wires is called________?​

Answers

Answer:

Electric Current

Explanation:

The force of air particles over an area is ________

temperature.
pressure.
volume.
kelvins.

Answers

The answer is Pressure.

Why do temperatures differ between air, land, and water?

Answers

Answer:the ocean water isn't moving into or through the atmosphere as a result of the sun's heating of the water, convection isn't the process influencing air and water temperature difference. The heat of the ocean is being given off radiated into the air, making the air substantially warmer

Explanation:

Green plants convert light energy from the sun into During photosynthesis

Answers

Answer:

Green light is not absorbed but reflected, making the plant appear green. Chlorophyll is found in the chloroplasts of plants. There are various types of chlorophyll structures, but plants contain chlorophyll a and b. These two types of chlorophyll differ only slightly, in the composition of a single side chain.

Explanation:

Hope that helps.

i hope its still not a black screen help please

Answers

Lol, I can’t see any image

An object free falls for 3.5 seconds . How far does it fall?

Answers

we need more information such as how high it was falling from
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