Imagine a monkey is sitting inside a barrel turned on its side. A cruel elephant pushes the barrel down a hill and the monkey starts to roll inside the barrel. This particular monkey gets motion sickness, and an outside observer has noticed that if the monkey spins more than once per second, the monkey will likely vomit. The barrel rolls perfectly down the slope (without slipping) and the outside observer calculates the angular acceleration of the barrel to be 1.2rad/s2. The barrel has a diameter of 1.5 m.
(a) How long will it take for the monkey to spin fast enough to vomit? (b) How far will the monkey have rolled before vomiting?
(c) How many times will the monkey have made a complete circle before vom- iting?

Answers

Answer 1

Hi there!

We can begin by converting "spinning once per second" to angular velocity:

[tex]\frac{1rev}{1s} * \frac{2\pi rad}{1rev} = 2\pi rad/sec[/tex]

(a)

As we are given the angular acceleration, we can calculate the time using the following equation:

ωf = ωi + αt

There is an initial angular velocity of 0 rad/sec, so:

ωf = αt

2π/1.2 = t

t = 5.236 sec

(b)

We can use the following rotational kinematic equation to first solve for the angular displacement:

θ = ωit + 1/2αt²

The initial velocity is 0 rad/sec, so plug in values:

θ = 1/2(1.2)(5.236²)

θ = 16.449 rad

Convert to linear distance using the following:

d = θr

d = 1.5m, so r = 1.5/2 = 0.75m

d = 16.449(0.75) = 12.337m

(c)

Find the amount of revolutions by converting radians to revolutions:

[tex]16.449 rad * \frac{1rev}{2\pi rad} = \large\boxed{2.618 rev}[/tex]

OR, 2.618 times.


Related Questions

Find the number of moles in a 28.0g sample of NH3.

PLS URGENTLY

Answers

Answer:

Molar mass of NH3=14+3=17g

[tex]mole = \frac{given \: mass}{molar \: mass} \\ mole = \frac{28}{17} \\ mole = 1.65[/tex]

BRAINLIST

some properties of the particles that are sources of electric charge include

Answers

The most basic properties of an electric charge is, that it can create a field in the space around it, allowing it to interact with other electric charges.


Does a moving charge experiences a force in magnetic field? Explain

Answers

In the presence of a magnetic field, a moving charge will always experience a force. F = qvB , If v is zero, then force is also zero. ... While magnetic forces cause charged particles to shift their direction of motion, but do not change the particle's velocity.

A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s. It is then turned off and coasts to a stop in an additional 40 s. In the one minute of rotation, through how many revolutions did the fan turn?.

Answers

Hi there!

We can first find the angular displacement of the first 20 seconds by finding the angular acceleration.

Begin by converting 120 rev/min to rev/sec:

120 rev/min × 1 min/60 sec = 2 rev/sec

ω = αt

2 = 20α

α = 0.1 rev/sec²

θ = ωit + 1/2αt²

The fan starts from rest, so:

θ = 1/2αt²

θ = 1/2(0.1)(20²) = 20 revolutions

Now, for the next 40 seconds, we can find the fan's deceleration:

ωf = ωi + αt

0 = 2 + αt

-2 = 40α

α = -0.05 rad/sec²

Use the above equation:

θ = ωit + 1/2αt²

θ = 2(40) + 1/2(-0.05)(40²) = 80 - 40 = 40 rev

θ = 4800 - 2400 = 2400 revolutions

Add the two:

θtotal = 20 + 40 = 60 revolutions

A car accelerates from 20m/s to 30m/s in 10 sec. Find the cars acceleration using v=u+at

Answers

Answer:

1

Explanation:

because when we use v=u+at we derived v-u÷t

For a boiling kettle draw a sankey diagram to show where The energy goes

Answers

Answer:

draw the picture / (.) (.) \ Patrick star


Usain Bolt has a mass of 94.1 kg and he had a KE of 7,250 J when running the one hundred meter dash. Calculate how fast he was running

Answers

Answer:

[tex]\displaystyle v = 12.4134 \ m/s[/tex]

General Formulas and Concepts:

Energy

Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]

m is mass (in kg)v is velocity (in m/s)

Explanation:

Step 1: Define

Identify variables.

KE = 7250 J

m= 94.1 kg

Step 2: Solve for v

Substitute in variables [Kinetic Energy Formula]:                                       [tex]\displaystyle 7250 = \frac{1}{2}(94.1)v^2[/tex]Isolate v term:                                                                                               [tex]\displaystyle 154.091 = v^2[/tex]Isolate v:                                                                                                         [tex]\displaystyle v = 12.4134[/tex]

Topic: AP Physics 1 - Algebra Based

Unit: Energy

Do distance and Gravity have a _____ relationship?

Answers

Answer:

proportional...?

Explanation:

not sure if thats correct...

hope this helped tho

try your best!

mark me brianliest :D

If the pressure of a gas is kept constant and the temperature (in Kelvin) is cut in half, the volume will _________.

Answers

Answer: be cut in half

Explanation:

A wrecking ball has a mass of 650 kg. It swings from a cable that is 21 m long. The centripetal force on the ball is 56 N. What is the tangential speed of the wrecking ball? 1. 3 m/s 1. 8 m/s 46 m/s 870 m/s.

Answers

Hi there!

For an object moving in a circle:

Centripetal force = ∑F = mv²/r

Thus:

56 = mv²/r

Rearrange to solve for velocity:

√(56r/m) = v

√(56 × 21)/650 = 1.345 m/s

Answer:

A

Explanation:

have a good day

when a single star with a mass equal to the sun dies, it will become a

Answers

When a single star with a mass equal to the sun dies, it will become a: white dwarf.

A star is a giant celestial (astronomical) object which comprises a luminous sphere of plasma bounded together by its own gravitational force.

A single star can be defined as a type of star that moves through space alone.

Generally, a star is mainly composed of two (2) hot gases and these are:

I. Hydrogen (H).

II. Helium (He).

Based on Astronomy, when a star runs out of hydrogen, depending on its mass, it would either turn into any of the following:

A planetary nebula.A supernova.A white dwarf.

Similarly, when a single star with a mass equal to the sun dies, it will turn into a white dwarf.

Read more: https://brainly.com/question/17934476

how many cubic objects of volume 2cm cube can be started in a room of dimension 2m by 3m by 4m​

Answers

Answer:

12,000,000 boxes

Explanation:

the volume of the room can be found by using the equation for volume of a rectangular box:V=LxWxH

where:

L=2m

W=3m

H=4m

(it doesn't really matter which is which since it is multiplication)

when we multiply our values (2m*3m*4m) we get 24cubic meters

now we need to convert cubic meters to cubic centimeters

each cubic meter is 1,000,000 cubic centimeter we multiply 24 by 1,000,000 and we get: 24,000,000 cubic centimeters (cc)

dividing 24,000,000 by 2 (since each box is 2cc) we get 12,000,000

so, we know we can fit 12,000,000, 2 cubic centimeter boxes in this room

answer with proper explanation

Answers

Answer:

B

Explanation:

Moment = force * perpendicular distance

Since the beam is balanced(equilibrium), the 2 moments will be equal.

30 * P = 70 * Q

The 2 combinations which achieve this equality is P = 21 and Q = 9

PLEASE ANSWER ASAP!!

Which part of the graph represents how much energy the reactants need to gain to become products? F Potential energy HA Н G Reaction progress

A. H minus F

B. H

C. G

D. F

(NO LINKS)​

Answers

D I think I really don’t know

consider two vectors A and B Where A-B and |A+B|=|A-2B| vector B is directed in the positive x_direction and A makes an angle of 60°above the positive x_axis find magnitude of the two vectors​

Answers

Answer:

It should be mentioned that an efficient way to work this vector addition problem is with the cosine law for general triangles (and since  

a

,

b

 and  

r

 from an isosecles triangle, the angles are easy to figure). However, in the interest of reinforcing the usual systematic approach to vector addition, we note that the angle  

b

 makes with the +x axis  is 30

0

+105

0

=135

0

(a) The x component of  

r

x

=(10.0m)cos30

0

+(10.0m)cos135

0

=1.59m

(b)  the y component of  

r

 is r

y

=(10.0m)sin135

0

 = 12.1 m.

(c) the magnitude of  

r

 is r =  ∣

r

∣=

(1.59m)

2

+(12.1m)

2

=12.2m

(d) The angle between  

r

 and the +x direction is tan

−1

[(12.1m)/(1.59m)]=82.5

0

Explanation:

Which sense is used to determine whether an object is something you might want to eat?

smell

sight

taste

all of the above

Answers

Answer: D, All of the above!

Explanation:

I just helped my daughter with this test and it was correct!! Good luck !!

Different between sound wave and water wave

Answers

Water waves shake energy over the surface of the sea, while sound waves thump energy through the body of the air. Sound waves are compression waves. They're also called longitudinal waves because the air vibrates along the same direction as the wave travels.

is the amplitude just 2? Or do I combine all of them and do 6?​

Answers

Answer:

combine them all

6 m

Explanation:

A ____ is a region where jets of gas from young stars impact and heat the gas surrounding the young star.

Answers

Bipolar outflow is the blank

please answer this don't go on the one which is choosed coz i bymistakely choosed it​

Answers

Answer:

(B) B is travelling fastest

Explanation:

slope of xt graph = speed.

Slope of B is greater than a and c.

BRAINLIST PLS

A 12 N force is used to extend a spring with a spring constant of 84 N/m. Calculate the extension of the spring.

Answers

Answer:

72n

Explanation:

the homogenvity of s=ut+1/2at^2

Answers

s = ut+(1/2)at² is dimensionally homogeneous.

Almost all living things depend on the process of ____________________ to supply them with the energy they need.

A.
photosynthesis

B. heterotroph

Answers

photosynthesis

a heterotroph is an organism that gets its own food like humans who fame and hunt.
photosynthesis is life form of all plants which is necessary for oxegyn

What is the equation for density?
O D= m
V
O D= V
-
m
O D= m
O D= { mu?
2

Answers

It is P=M/V but I guess you could change the P with a D depending on what year group you are in. So it’s D=M/V.

A cyclist pedals up to the top of a hill.

a) What kind of energy is being used to do work against gravity?

b) State the type of energy the cyclist has when he stops at the top of the hill.

c) When the cyclist moves downhill without pedaling, what type of energy does he gain?

Answers

Explanation:

A) kinetic energy

B) potential energy

C) Mechanical energy

a) The motorcyclist rises utilising chemical energy's "mechanical energy" (kinetic and potential energy). b) The cyclist's highest "gravitational potential energy" is transformed into motion downhill. c) When the rider moves downhill, potential energy becomes "kinetic energy." "Kinetic energy" is most vital.

a) "Mechanical energy" is used by the cyclist to ride up the slope. Kinetic and potential energy from an object's motion and position make up mechanical energy. As they pedal, cyclists transform chemical energy from their bodies into mechanical energy. This mechanical energy overcomes gravity as the cyclist climbs. As the cyclist climbs, potential energy accumulates, which is translated into kinetic energy as they descend.

b) At the summit of the slope, the biker has "gravitational potential energy." An object's gravitational potential energy depends on its position in a gravitational field. The biker has gained potential energy by climbing against gravity. At the crest of the hill, the cyclist's kinetic energy is lowest while potential energy is highest. The cyclist's potential energy is ready to be turned into kinetic energy as they descend.

c) Without pedalling, the rider gains "kinetic energy." The cyclist's speed increases as they descend, converting potential energy into kinetic energy. The cyclist's potential energy is turned into kinetic energy by gravity. As the rider descends, their potential energy diminishes but their kinetic energy increases, speeding up their bike. The biker converts potential energy into kinetic energy as he descends, and most of it is converted back at the bottom.

In conclusion, the cyclist climbs the incline using "mechanical energy" from chemical energy. They descend using "gravitational potential energy" at the top. Potential energy becomes "kinetic energy" when the rider descends without pedalling, speeding up the bike. Potential-to-kinetic energy conversion helps the cyclist climb the slope.

To know more about kinetic energy

https://brainly.com/question/8101588

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Andrew skis down a hill.



Andrew starts from the top of the hill and his speed increases as he goes downhill.

He controls his speed and direction by using his skis.

He brings himself to a stop at the bottom of the hill.

Describe the energy changes that happen between starting and stopping.

Answers

Explanation:

gravitational potential energy at the top of the hill, which transforms into kinetic energy as he moves bottom of the hill

that's mean potential energy transfoms into kinetic energy

His potential energy is converted into kinetic energy when his speed increases as he goes downhill.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.

Total mechanical energy is s the sum of all the kinetic as well as potential energy stored in the system.

ME = KE + PE

When Andrew skis down a hill then he had stored potential energy due to the height of the hill and his gravitational weight,

Due to the height of the slope and his weight, Andrew had potential energy stored when he skied down it.

As he descended the hill, his speed increased, transforming this potential energy into kinetic energy.

Learn more about mechanical energy from here,

brainly.com/question/12319302

#SPJ2

What makes rusting a redox reaction?

A. It is an example of combustion, which is a redox reaction.

B. Electrons are transferred from oxygen atoms to iron atoms.

C. Any reaction involving oxygen is a redox reaction.

D. Electrons are transferred from iron atoms to oxygen atoms.


(No links please)​

Answers

Electrons are transferred from oxygen atoms to iron atoms is a redox reaction. Option B is correct.

What is a redox reaction?

A redox reaction is a type of chemical reaction in which two species exchange electrons.

Any chemical process in which the oxidation number of a molecule, atom, or ion changes by gaining or losing an electron is known as an oxidation-reduction reaction.

A redox reaction can result in the creation of hydrogen fluoride. The creation of hydrogen fluoride is another example of a redox reaction.

We can evaluate the oxidation and reduction of reactants by breaking down the process. Each hydrogen turns positive after being oxidized and losing two electrons.

Electrons are transferred from oxygen atoms to iron atoms is a redox reaction.

Hence, the option B is correct.

To learn more about the redox reaction, refer to the blink;

https://brainly.com/question/13293425

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Answer: D) Electrons are transferred from iron atoms to oxygen atoms


If anyone else needs it

Explanation: the iron is increasing in oxidation number (losing electrons) and oxygen is decreasing in oxidation number (gaining electrons). This tells us that we have oxidation (or rusting) taking place.

In both experiments, what accounts for the change in pressure you observed as you changed the volume of the gas

Answers

Answer: When a gas is in a smaller volume, the molecules are more confined and bump into the walls of the flask more, thereby exerting a greater pressure.

Explanation:

a runner joys 12km north than turs and runs 16km east in three hours.
a. what is his displacement
b. calculate his average speed
c. calculate his average including the direction ​

Answers

Explanation:

a.displacement is vector quantity there fore

we combine the two direction

[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex] {c}^{2 } = \sqrt{ {12}^{2} + {16}^{2} } [/tex]

[tex] {c}^{2} = \sqrt{400 } [/tex]

[tex]c = 20[/tex]

displacement is 20km to wards north

b:average speed

[tex]v = s \div t[/tex]

20/3=6.67

c: please type correctly

2. Un niño hace girar con la mano una pelota de hule que se encuentra sujeta mediante un cordón de
0.75 m de longitud. Si la pelota da 0.7 vueltas a cada segundo, entonces,
a) ¿Cuál es el periodo de la pelota?
b) ¿Cuál es la velocidad lineal de la pelota?

Answers

Cuando el niño hace girar 0.7 vueltas por segundo una pelota de hule que se encuentra sujeta mediante un cordón de 0.75 m de longitud, tenemos que:

a) El periodo de la pelota es 1.43 segundos.

b) La velocidad lineal de la pelota es 3.3 m/s.

a) El periodo de la pelota está dado por:

[tex] T = \frac{2\pi}{\omega} [/tex]

En donde:

ω: es la velocidad angular

Dado que la pelota da 0.7 vueltas (revoluciones) cada segundo, la velocidad angular es:

[tex] \omega = \frac{0.7 \:rev}{s}*\frac{2\pi rad}{1 \:rev} = 4.40 rad/s [/tex]

Entonces, el periodo es:

[tex]T = \frac{2\pi}{\omega} = \frac{2\pi}{4.40 rad/s} = 1.43 s[/tex]

b) La velocidad lineal de la pelota se puede calcular usando la siguiente ecuación:

[tex] v = \omega r [/tex]

En donde:

r: es el radio de la circunferencia = longitud del cordón = 0.75 m

[tex]v = \omega r =4.40 rad/s*0.75 m = 3.3 m/s[/tex]

Por lo tanto, la velocidad lineal de la pelota es 3.3 m/s.

Puedes encontar mas aquí:

https://brainly.com/question/19380743?referrer=searchResultshttps://brainly.com/question/17689540?referrer=searchResults

Espero que te sea de utilidad!

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