Answer:
(i) The particle has a period of 0.3 seconds.
(ii) The angular velocity of the particle is a20.944 radians per second.
(iii) The linear velocity of the particle is 1.047 meters per second.
(iv) The linear acceleration of the particle is 21.933 meters per square second.
Explanation:
Statement is incomplete and have mistakes, complete and correct form is presented below:
A particle makes 800 revolutions in 4 minutes of a circle with a radius of 5 centimeters. Find (i) its period, (ii) its angular velocity, (iii) its linear velocity and (iv) its acceleration.
(i) The period of the particle ([tex]T[/tex]), in seconds, is the time taken to make a complete revolution:
[tex]T = \frac{4\,min \times \frac{60\,s}{1\,min} }{800\,rev}[/tex]
[tex]T = 0.3\,s[/tex]
The particle has a period of 0.3 seconds.
(ii) The angular velocity ([tex]\omega[/tex]), in radians per second, is determined by the following formula:
[tex]\omega = \frac{2\pi}{T}[/tex] (1)
[tex]\omega = \frac{2\pi}{0.3\,s}[/tex]
[tex]\omega \approx 20.944\,\frac{rad}{s}[/tex]
The angular velocity of the particle is a20.944 radians per second.
(iii) The linear velocity ([tex]v[/tex]), in meters per second, is calculated by the following formula:
[tex]v = R\cdot \omega[/tex] (2)
Where [tex]R[/tex] is the radius of the circle, in meters.
If we know that [tex]R = 0.05\,m[/tex] and [tex]\omega \approx 20.944\,\frac{rad}{s}[/tex], then the linear velocity of the particle is:
[tex]v = (0.05\,m)\cdot \left(20.944\,\frac{rad}{s} \right)[/tex]
[tex]v = 1.047\,\frac{m}{s}[/tex]
The linear velocity of the particle is 1.047 meters per second.
(iv) Since angular velocity is constant, linear acceleration of the particle ([tex]a[/tex]), in meters per square second, is entirely radial. Acceleration can be found by means of this expression:
[tex]a = \omega^{2}\cdot R[/tex] (3)
If we know that [tex]R = 0.05\,m[/tex] and [tex]\omega \approx 20.944\,\frac{rad}{s}[/tex], then the linear acceleration of the particle is:
[tex]a = \left(20.944\,\frac{rad}{s} \right)^{2}\cdot (0.05\,m)[/tex]
[tex]a = 21.933\,\frac{m}{s^{2}}[/tex]
The linear acceleration of the particle is 21.933 meters per square second.
define 1 second time
Answer:
define 1 second time
One second is the time that elapses during 9,192,631,770 (9.192631770 x 10 9 ) cycles of the radiation produced by the transition between two levels of the cesium 133 atom. ... One second is equal to 1/86,400 of a mean solar day.
Answer:
One part of 86400 part of a day is called one second time.
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how do you think the weight and the lift should not be one of the same magnitude
because weight disappear and doesn't show the actual weight in the lift
There is the more role of the moon than the sun to occur tides in the oceans,why?
Answer:
The ocean tides on earth are caused by both the moon's gravity and the sun's gravity. ... Even though the sun is much more massive and therefore has stronger overall gravity than the moon, the moon is closer to the earth so that its gravitational gradient is stronger than that of the sun.
The moon plays a larger role than the sun in causing tides in the oceans because it is much closer to Earth and has a stronger gravitational pull on our planet. The gravitational force between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them.
Although the sun is much larger than the moon, its gravitational pull on Earth is much weaker because it is much farther away. The moon, on the other hand, is much smaller than the sun, but it is much closer to Earth and exerts a stronger gravitational force on our planet. This gravitational force causes the water in the oceans to bulge towards the moon, causing high tides.
In addition to the gravitational force, the shape of the ocean basins, the rotation of the Earth, and the positions of the sun and moon also play a role in causing tides. However, the moon's gravitational force is the primary factor that causes tides in the oceans.
By how many times will the kinetic energy of a body increase if its speed is tripled? Show by calculation .
Answer:
9 lần
Explanation:
Answer:
Kinetic energy (k.e) varies directly as v² from the formula
K.E=(mv²/2)
if v=3 then K.e =v²=(3)²=9
pete walks at a rate of 4.0 miles per hour for 30 minutes. How far did he walk?
what is the speed of a car that travels 150m in 120 s
Answer:
1.25 m/s
Explanation:
divide 120 by 120 to get one second and then divide 1t0 by 120 to get the number
V Page 1. What is the acceleration due to gravity at poles in m/s2.if it is 9.78 at the equation ->
Answer:
Chk photo
Explanation:
1. Find the temperature when the degrees of the Celsius scale will be one fifth of the corresponding degrees of the Fahrenheit scale
2. How much heat is necessary to warm 500g of water from 20°C to 65°C?
Answer:
F = 9/5 C + 32 conversion from C to F
F = 9/5 * F/5 + 32
25 F = 9 F + 800
16 F = 800
F = 50
Check:
C = 5/9 ( F - 32) = 5/9 (50 - 32) = 10 as requested
Q = c m change in temp
Q = 1 cal/gm-deg C * 500 gm * 45 deg C = 22,500 calories
50 Fahrenheit heat required.
How much heat required?Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems.
F = 9/5 C + 32 conversion from C to F
F = 9/5 * F/5 + 32
25 F = 9 F + 800
16 F = 800
F = 50
The answer is 50 Fahrenheit.
Learn more about heat transfer
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the diameter of circular park is 80 m find its area
You plan to pass alpha particles through a field that contains a consistent type of particle. Which configuration will result in the largest deflection of alpha particles? (1 point)
low-energy alpha particles passing through a field of low mass-number-particles
low-energy alpha particles passing through a field of high mass-number-particles
high-energy alpha particles passing through a field of high mass-number-particles
high-energy alpha particles passing through a field of low mass-number-particles
Answer:
low-energy alpha particles passing through a field of high mass-number-particles
Answer:
low-energy alpha particles passing through a field of high mass-number-particles
Explanation:
If a car starts from rest and attains a velocity of 10m/square in 5 secondscalculate the accerleration
Explanation:
Acceleration = Velocity / Time
Acceleration = 10 / 5
Acceleration = 2m/s ²
If a ball has a mass of 5 kg and 100 J of KE, what is its velocity?
[tex]{\fcolorbox{white}{lightgreen}{\bf{\textcircled{$\checkmark$}}{Verified\:answer}}}[/tex]
Mass of ball=m=5kgKinetic energy=KE=100JVelocity=v=?We know
[tex]\boxed{\sf K.E=\dfrac{1}{2}mv^2}[/tex]
[tex]\\ \sf\longmapsto 100J=\dfrac{1}{2}5\times v^2[/tex]
[tex]\\ \sf\longmapsto v^2=100\times \dfrac{2}{5}[/tex]
[tex]\\ \sf\longmapsto v^2=20(2)[/tex]
[tex]\\ \sf\longmapsto v^2=40[/tex]
[tex]\\ \sf\longmapsto v=\sqrt{40}[/tex]
[tex]\\ \sf\longmapsto v=6.2m/s[/tex]
Answer:
6.2m/s
Explanation:
set up differential equation of angular S.H.M
Answer:
[tex]{ \sf{ \omega \: is \: the \: angular \: velocity}} \\ { \sf{ \theta \: is \: the \: angular \: displacement}}[/tex]
4. diference between VR and efficiency
Answer:
Velocity ratio of simple machine is the ratio of distance travelled by effort to the distance travelled by load in the machine. The efficiency of a simple machine is defined as the ratio of useful work done by machine (output work) to the total work put into the machine (input work).
Determine whether the vector field is conservative. If it is, find a potential function for the vector field.
Answer:
Electric field intensity is not conservative vector
Explanation:
Only electrostatic fields i.e. fields generated by a static charge distribution, are conservative in nature
Give reason Pascal is a derived unit
The pascal is the SI derived unit of pressure used to quantify internal pressure, stress, Young's modulus and ultimate tensile strength.
Symbol ⇥ PaDoes water exist on Mars? Explain your answer. Why didn't Jupiter become a star during the early.
Answer:
yes water was discovered in mars
S/REF No. Date If the load distance of a level is 20 cm and effort distance is 6ocm, calculate the amount of effort required to lift a load 200 N.
10. Explain the principle of electric motor. Write its uses.
Explanation:
The principle of an electric motor is based on the current carrying conductor which produces magnetic field around it. A current carrying conductor is placed perpendicular to the magnetic field so that it experiences a force.
The largest electric motors are used for ship propulsion, pipeline compression and pumped-storage applications with ratings reaching 100 megawatts. Electric motors are found in industrial fans, blowers and pumps, machine tools, household appliances, power tools and disk drives.
Tres personas, A, B, C, jalan una caja con ayuda de cuerdas cuya masa es despreciable. Si la persona A aplica −3 en dirección horizontal y la persona B aplica a su vez 5 en dirección horizontal, ¿Cuál es el valor de la fuerza que debe ejercer la persona C, para que la caja esté en equilibrio físico?
Answer:
El valor de la fuerza que debe ejercer la persona C debe ser de -2 para que la caja esté en equilibrio físico.
Explanation:
Si la caja debe hallarse en equilibrio físico, entonces se debe satisfacer la siguiente ecuación:
[tex]F_{A} + F_{B} + F_{C} = 0[/tex] (1)
Si sabemos que [tex]F_{A} = -3[/tex] y [tex]F_{B} = 5[/tex], entonces el valor de la fuerza que debe ejercer la persona C debe ser:
[tex]F_{C} = -F_{A}-F_{B}[/tex]
[tex]F_{C} = -(-3)-5[/tex]
[tex]F_{C} = -2[/tex]
El valor de la fuerza que debe ejercer la persona C debe ser de -2 para que la caja esté en equilibrio físico.
Two boys X and Y each have the same total weight
and are standing on soft ground.
Which boy is more likely to sink into the soft ground and
why?
boy more
likely to sink
pressure on soft
ground
А
Х
larger than Y
B
Х
smaller than Y
C
Y
larger than X
D
Y
smaller than X
Answer:
the child with the smallest area will be the one who sinks
Explanation:
The child who will sink to the ground is the one who exerts the greatest pressure on the ground, even though the force, which in this case is equal to the weight, is equal.
Pressure is defined by
P = F / A
in this case the strength of the children is their weight
F = W
P = W / A
therefore the pressure changes are in the area of contact with the ground, the child with the smallest area will be the one who sinks
pleeease help meeeeee
during a journey, a car travels at 40 km in 2.5 hours, next 62 km in 3 hours, then took a break for 30 minutes, again travelled the last 120 km in 3.2 hours. calculate the average speed of the car during the journey.
What acceleration is produced on a mass of 200g, when a force of 10N is exerted on it?
Answer:
f=ma......10N=0.2a....=50m/s
Answer:
here,
force = mass× acceleration
10 = 0.2 kg × a
or, 10/0.2=a
or, a = 50km/h^2
is the required ans .
HELP ASAP!!!
What size object (impactor) may create such a crater?
Answer:
I HOPE IT WILL HELP YOU.
:D
A boy shoves his stuffed toy zebra down a frictionless chute. It starts at a height of 1.45 m above the bottom of the chute with an initial speed of 1.23 m/s . The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with a coefficient of kinetic friction of 0.231 . How far from the bottom of the chute does the toy zebra come to rest? Assume g=9.81 m/s2 .
Answer:
The answer is "4.97 m".
Explanation:
[tex]u = 1.23\ \frac{m}{s}\\\\[/tex]
[tex]H= 1.45 \ m\\\\[/tex]
[tex]\mu = 0.231\\\\[/tex]
The law of conservation tells us that heat energy at the top with kinetic energy at the top equals kinetic energy at the base.
[tex]mgh+\frac{1}{2}mu^2=\frac{1}{2}mv^2\\\\2gh +u^2 =v^2\\\\v=\sqrt{u^2+2gh}[/tex]
[tex]v=\sqrt{(1.23\ \frac{m}{s})^2+2(9.81 \frac{m}{s^2}) +(1.45\ m)[/tex]
[tex]=\sqrt{1.5129+19.62 +1.45}\\\\=\sqrt{22.5829}\\\\=4.75\ \frac{m}{s}[/tex]
Friction force is given by the formula
[tex]f=-\mu mg \\\\ma= -\mu mg\\\\a=-\mu g\\\\[/tex]
[tex]= -(0.231) \ (9.81\ \frac{m}{s^2})\\\\=-2.26611 \ \frac{m}{s^2}[/tex]
Now by using an equation of motion as
[tex]v^2-u^2= 2as[/tex]
From the above the distance traveled is
[tex]S=\frac{v^2-u^2}{2a}[/tex]
[tex]S=\frac{(0)^2-(4.75\ \frac{m}{s})^2}{2(-2.26611\ \frac{m}{s^2})}\\\\[/tex]
[tex]=\frac{-(4.75\ \frac{m}{s})^2}{2(-2.26611\ \frac{m}{s^2})}\\\\=\frac{-22.5625}{-4.53222}\\\\=4.97[/tex]
In other words, the distance from the bottom of the chute to the point where the toy zebra comes to rest is [tex]s = 4.97\ m[/tex]
can anyone help me with this one
Answer:
c) sin c /sin d
because light is moving from denser to shallower medium
b) refraction of light
Explanation:
What is one Pascal pressure? What is its unit?
Explanation:
the force acting perpendicularly on unit area of surface
unit=pascle .
A pressure of one Newton per square meter .. The SI unit of 1 Pascal pressure is 1 Newton per square metre .
Wagonium-292 has a half-life of 1 hour. If you started with an 80 gram sample, how much Wagonium-292 will remain after 4 hours? A.) 10g B.) 40g C.) 160g D.) 5G
After 1 hour, 80 g decays to 40 g.
After another hour (total 2 hours), 40 g decays to 20 g.
After another hour (total 3), 20 g decays to 10 g.
After one more hour (total 4), 10 g decays to (D) 5 g.
Saul is testing an installation and discovers a short circuit what’s causing this
A.high current
B.high voltage
C.low resistance
D.low voltage
Answer:
im pretty sure that it's (A.) High current
Explanation:
pf
not 100% sure, tho
Please help me , I also have to show work on paper
Answer:
Choose B
Explanation:
Hope Can I help you
